Digital Library of Mathematical Functions, section 9.7 gives the Airy function asymptotic expansions. Equations 9.7.5 and 9.7.7 give the positive-argument exponential forms; equations 9.7.9 and 9.7.11 give the negative-argument oscillatory forms. Their leading terms determine the factor two and phase shift in the Airy turning-point connection formula.
English translation in Essays on the Theory of Numbers. Cited 1872 preface; §§III–V on cuts and the real numbers; §VII on existence of limits. The original title is Stetigkeit und irrationale Zahlen.
Journal für die reine und angewandte Mathematik 4, 157–169. The archive identifies this as Ralf Stephan's transcription of the original. Cited opening critique of Augustin-Louis Cauchy, signed-series counterexample and final sufficient conditions for Fourier series.
Original work in an edited primary-text reproduction. Cited §§13–18 on changing assumptions about evanescent increments. Alternative scholarly transcription: www.maths.tcd.ie/pub/HistMath/People/Berkeley/Analyst/Analyst.html . The editorial introduction distinguishes the 1734 London and Dublin editions.
Acta Eruditorum, pp. 467–473. The Mathematical Association of America reproduces the original pages. Cited for the published differential-calculus rules, not for a modern reconstruction of their foundations.
Introduction to the quadrature treatise appended to the 1704 Opticks. The linked text reproduces John Harris's 1710 English translation, edited by David R. Wilkins. Archive context: www.maths.tcd.ie/pub/HistMath/People/Newton/Quadratura/ . Cited opening account of generated quantities, fluxions and first ratios.
Original edition, 68 pages. Cited for the definition of complex integration, path variation and singular points. Original OCR: www.e-rara.ch/zut/download/ftpack/plain/8504602 . Accessible later reprint: 1874 reprint, pp. 265–304, especially §§1–6. The reprint date is distinct from the memoir's date.
Original full title: Résumé des leçons données à l’École Royale Polytechnique sur le calcul infinitésimal. Volume I. Cited for the definitions of derivatives and definite integrals, especially the twenty-first lesson. Searchable original OCR: www.e-rara.ch/zut/download/ftpack/plain/8350182 .
Original text in a scan-backed transcription. Cited: introduction; Chapter II on continuity; Chapter VI, §I, on convergence and the Sum theorem of Cauchy. Original-edition record: www.e-rara.ch/zut/content/titleinfo/8442794 .
University of Florence mathematical-museum exhibition, Analytical geometry and the problem of tangents. It gives a translation and reconstruction of Pierre de Fermat's parabola example, using the letters B, C, D, E, I, O of the exam image. The text distinguishes circulation in the 1630s from the 1679 publication. Its final displayed label contains a typographical anomaly; the derivation and geometry give .
Cited passages: Fourier's original chapter on heat propagation and trigonometric expansions.
Cited passages: Section 5.2, Properties of the Definite Integral, equations 5.9–5.10 and 5.14; Section 5.2, definitions of net signed area and total area.
Cited passages: Section 5.4, Theorem 5.6 and the displacement and total-distance discussion.
Online text: www.jirka.org/ra/
Additional inspected sections: 3.4 Uniform continuity and 7.5 Continuous functions.
Whole-book author: Jiří Lebl; no separately credited chapter author is established. These HTML sections are undated. The author landing page dates the downloadable PDF version 6.3 to 15 May 2026; that version date is not assigned to the HTML.
Cited passages: §3.4.1, Definition 3.4.1 and Theorem 3.4.4; §3.4.2, Lemma 3.4.5; §3.4.3, Proposition 3.4.8 and Example 3.4.10; §7.5.4, Definition 7.5.10 and Theorem 7.5.11.
Author and work verified; edition year and publisher were not verified and are not asserted.
Cited passages: Section 5.1, Example 5.1.4.
Edition year and publisher not verified; no claim made.
Cited passages: Section 5.2, Lemma 5.2.7 and Theorem 5.2.9.
Cited passages: Lebl, Basic Analysis I, §2.1: sequences as functions and their limits.
Cited passages: Lebl, Basic Analysis I, §1.2: approximation of a supremum; Lebl, Basic Analysis I, §1.2: supremum, infimum and attainment.
Additional inspected locators: §1.2.3, Proposition 1.2.6(i) and proof; Proposition 1.2.8; §1.2.5, Exercise 1.2.9. The HTML section is undated; no PDF version date is assigned to it.
Cited passages: Basic Analysis, Volume I by Jiří Lebl, opening footnote to §2.3: the theorem's two namesakes; Basic Analysis, Volume I by Jiří Lebl, §2.3.3, Theorem 2.3.8: every bounded real sequence has a convergent subsequence; Lebl, Basic Analysis I, §2.3: equality of finite bounds and extended limits; Lebl, Basic Analysis I, §2.3: extreme subsequential limits.
Cited passages: Basic Analysis: Introduction to Real Analysis, Volume I by Jiří Lebl, §6.1.1, Definition 6.1.1 and Proposition 6.1.5; Basic Analysis: Introduction to Real Analysis, Volume I by Jiří Lebl, §6.1.1, Example 6.1.2, even powers on the interval from minus one to one; Basic Analysis: Introduction to Real Analysis, Volume I by Jiří Lebl, §6.1.2, Definition 6.1.6 and Proposition 6.1.7.
Cited passages: Basic Analysis: Introduction to Real Analysis, Volume I by Jiří Lebl, §6.2.1, Theorem 6.2.2; Basic Analysis: Introduction to Real Analysis, Volume I by Jiří Lebl, §6.2.2, Theorem 6.2.4; Basic Analysis: Introduction to Real Analysis, Volume I by Jiří Lebl, §6.2.3, Theorem 6.2.10 and the unbounded-interval observation following its proof.
Student notes by Andrew Lin; course taught by Casey Rodriguez.
Publisher: MIT OpenCourseWare.
The course notes page attributes 2021 student notes to Andrew Lin and identifies Casey Rodriguez as instructor; the individual PDF has no author byline.
Cited passages: Lecture 12, Definition 120, Proposition 123(2), Remark 124 and Theorem 126; Lecture 12, printed page 59, Definitions 120–121 and Proposition 122.
Cited passages: MIT 18.102 lecture 12, Proposition 122: linearity for integrable functions.
Publisher: MIT OpenCourseWare.
Cited passages: Direction Fields, Isoclines, Integral Curves, pp. 1–2: constant-slope loci and the example y prime equals x minus y.
Cited passages: Notes on Diffy Qs, §1.3.2 Implicit solutions: implicit differentiation, multiple branches, and selection by an initial condition.
Cited passages: Notes on Diffy Qs, §1.5.2 Bernoulli equations: substitution v equals y to the power 1 minus n; n equals 0 or 1 is already linear; Example 1.5.1 selects the positive root using its initial condition.
Cited passages: Notes on Diffy Qs, §1.4 Linear equations and the integrating factor: product derivative, formula (1.4), and Remark 1.4.1 on existence throughout a coefficient-continuity interval.
Cited passages: Basic Analysis, Volume II, §8.5.1, Theorem 8.5.6 and the preceding circle example: local existence, uniqueness and derivative of an implicit graph.
By Vladimir Dobrushkin. An authored tutorial page for the second course, Part V, hosted at Brown University. No dated publication edition is specified here.
Cited passages: the Cesàro-summation definition gives both zero-based and one-based partial-sum conventions; Example 1 discusses Grandi's series; Example 2 obtains the weighted geometric-series formula. Our finite examples and images are independently computed.
By A. F. Andersen. Published in Mathematisk-fysiske Meddelelser, volume I, number 4, Det Kgl. Danske Videnskabernes Selskab. The scanned title page names the author and gives Copenhagen and 1918.
Cited passages: §1, printed p. 3, introduces orders of Cesàro summation and cites Ernesto Cesàro's 1890 publication in Bulletin des Sciences Mathématiques, series 2, volume 14, p. 114; §2, pp. 6–7, discusses the multiplication theorem and its role in developing summability theory. The original 1890 paper was not inspected here; the historical citation refers to Andersen's account.
By Jeremy Orloff, named on the first page of the notes for MIT 18.04, Complex Variables with Applications, Spring 2018. The credit here refers to this authored set of notes.
Cited passages: §11.2, Theorems 11.1 and 11.4, pp. 1–3, gives the argument principle and its residue theorem explanation; §11.2.3 covers Rouché's theorem; §11.3.6 explains the Nyquist stability criterion, including the sign from the clockwise contour used there. Our rational-function and sparse-sampling examples and images are independently calculated.
Publisher: Wellesley-Cambridge Press.
Cited passages: Gilbert Strang, Calculus, §5.8, printed p. 223: midpoint rectangles, linear exactness and signed quadratic errors.
Publisher: Springer.
Cited passages: Axler, Measure, Integration & Real Analysis, §7A, Definition 7.1, pp. 194–195, and Theorem 7.14, p. 199.
The linked PDF is revised 12 June 2026; the book was first published in 2020.
Cited passages: Hunter, Measure Theory, Definition 7.4: the L-infinity norm; Hunter, Measure Theory, Definitions 7.1 and 7.4: Lp spaces and norms; Hunter, Measure Theory, Definitions 7.1, 7.3–7.4: almost-everywhere equivalence and essential bounds; Hunter, Measure Theory, §7.4, Lemma 7.9, pp. 81–82, and Theorem 7.10, pp. 82–83: norm summability and completeness.
Cited passages: Wavelet Bases, §7.2.1, printed p. 206, Theorem 7.4 and proof of (i) ⇔ (ii): decay assumptions and differentiation of the Fourier transform; Wavelet Bases, §7.2.1, printed p. 206, equation (7.69) and the paragraph explaining cancellation of Taylor polynomials.
Cited passages: Wavelet Zoom, §6.1.1, printed p. 141, equations (6.1)–(6.2); §6.1.2, printed p. 143, Polynomial Suppression, equations (6.6)–(6.8).
Cited passages: The Weierstrass approximation theorem, Lemmas 0.1–0.2 and Theorem 0.3, printed pp. 1–2: weights, binomial moments and polynomial construction; The Weierstrass approximation theorem, Theorem 0.3, printed p. 2: uniform polynomial approximation on the unit interval.
Cited passages: §2.1, Quasilinear equations, Example 7, (2.1.8)–(2.1.9).
Cited passages: §9.1, Case epsilon=0 as a limit, identity following (9.1.10); §9.1, Problem set-up, (9.1.1)–(9.1.2); Cole-Hopf transform, (9.1.11)–(9.1.13).
Author-hosted preliminary version. The printed book was published by the American Mathematical Society in 2012; the author page’s last-modified date is not a PDF revision date.
Cited passages: Gerald Teschl, Ordinary Differential Equations and Dynamical Systems, §2.7, Theorem 2.19, printed p. 56: forward existence and the analogous backward result; Teschl, Theorem 2.17, p. 53; Teschl, §2.7, printed pp. 54–56, equations (2.69), (2.71)–(2.76): polygon bounds, compactness, and vanishing integral defect.
Course context: 246B, complex analysis. These notes were posted on 23 December 2020.
Publisher: Terence Tao, What's new (author website).
Cited passages: §1, Theorem 2 and equation (6): neighbourhood of the closed disk, zeros counted with multiplicity, holomorphic special case.
Presented to the St Petersburg Academy on 5 December 1735. Published as "De summis serierum reciprocarum" in Commentarii academiae scientiarum Petropolitanae 7 (1740), pp. 123–134. The linked translation is arXiv version 2, dated 5 February 2008.
Cited passages: English translation, p. 1, §2 and publication note; pp. 3–4, §§3–8: sine series, roots and coefficients.
Publisher: Cambridge University Press.
Cited passages: Inequalities, second edition, §9.8(ii), truncation and integration by parts, printed pp. 242–243; Inequalities, second edition, §9.8, Theorem 327, equation (9.8.2), printed p. 240; Inequalities, second edition, §9.8, Theorem 327, printed p. 240, and sharpness argument on printed p. 243.
First published in 1934; second edition published in 1952.
The title page credits John K. Hunter and is dated February 2004; copyright 2004 is stated separately. The university is his affiliation and the notes host, rather than an author. No first-publication or online revision date inferred.
Cited passages: §1.1.2, p. 2: regular and singular perturbations; §4.3.5, p. 58: uniform solution and overlap subtraction; §§4.3.3–4.3.4, pp. 57–58: inner expansion and matching.
Author-hosted whole manuscript credited to Steven G. Krantz. The inspected title page is dated 14 October 2007; no first-publication or copyright year inferred. Citations use printed chapter pages, rather than the preliminary table-of-contents pagination.
Cited passages: Krantz, A Guide to Complex Variables, sections 9.3.4–9.3.5, printed pp. 158–159; Section 9.3.6, printed p. 159: globally defined holomorphic function; Sections 9.3.1–9.3.3, printed pp. 157–158: terminal elements and fixed endpoint homotopy.
Standalone teaching notes credited to Rodolfo R. Rosales, identified as Rodolfo Ruben Rosales by the MIT profile. The title page says MIT 18.04 and is dated 11 October 1999; the hosting folder 18.305 does not identify its course or authorship of an entire course.
Cited passages: Rosales, Branch Points and Branch Cuts, section 1 and Example 2.4; Rosales, Branch Points and Branch Cuts, section 1, printed pp. 3–8, and Example 2.4, printed p. 15; Rosales, section 1, Definition 1.1 and its clarifications; Rosales, section 1, equation 1.3, and Example 2.4.
Authored website post credited to Terence Tao and published 6 April 2009. Its course category is 245C, Real Analysis; the byline applies to this post, not to a separately published book of every course resource.
Cited passages: §3, Definition 32 and Exercise 54: Schwartz hypotheses and Poisson summation on the integer lattice; §3, Exercise 41: transform of a scaled Gaussian; put r=1/sqrt(a) and adjust its prefactor.
Additional locator: section 2, the constant character and Corollary 22, Fourier expansion on compact abelian groups with probability Haar measure. The zero coefficient is the average against the constant character. terrytao.wordpress.com/2009/04/06/the-fourier-transform/
Research article credited in print to G. Floquet, Gaston Floquet, published in 1883 in Annales scientifiques de l’École Normale Supérieure, series 2, volume 12, pp. 47–88. The linked scan and archive metadata identify the article; the historical citation does not assert priority for every modern matrix formulation.
Cited passages: Printed p. 48, definition of a function periodic of the second kind and its multiplier; p. 49, transformation of a fundamental solution system after one period.
Senior contributing authors: Gilbert Strang and Edwin “Jed” Herman. OpenStax also credits additional contributing authors in its preface.
The preface's citation information gives publication as 30 March 2016; the current website footer is a separate copyright notice.[ref]
Cited passages: Calculus Volume 3, Definitions (4.12)–(4.13), and the interpretation as ordinary derivatives of one-variable coordinate slices.
Cited passages: Calculus Volume 3, Definition (4.36), the unit-direction convention, and Theorem 4.12 with the gradient formulation.
This section belongs to the textbook whose senior contributing authors are Gilbert Strang and Edwin “Jed” Herman; no separate section byline is verified.
Cited passages: §6.4, Theorem 6.12 and equation (6.13): circulation form and hypotheses; the following proof: rectangle edge calculation and the fundamental theorem of calculus.
By Daniel Reem. The inspected source is arXiv:1002.3721v7, revised 8 February 2017. The first arXiv submission was 19 February 2010; this is distinct from the version 7 revision date. arXiv is the repository host.
Version metadata: arxiv.org/abs/1002.3721v7
Cited passages: printed pp. 1–2, §1.1, equation (1), real domain and classical regularity criteria. Theorem 2.1 has a different measurability hypothesis.
Massachusetts Institute of Technology course, Spring 2018. Course instructor: Jeremy Orloff. MIT OpenCourseWare hosts the course notes; resource authorship is recorded separately from the instructor role.
By Jeremy Orloff, credited on the first page. Authored course notes in Complex Variables with Applications, MIT 18.04, Spring 2018. Spring 2018 identifies the course offering; no separate note publication or revision date is verified.
Cited passages: §2.5, printed pp. 5–6, one point at infinity and exterior neighbourhoods; §2.5.2, printed p. 7, equatorial unit-sphere projection and north-pole cap. The first page gives the title, author and heading 2 Analytic functions.
By Dan Romik. The complete lecture-note collection is credited to him on its title page. The author note identifies Math 205A: Complex Analysis I at the University of California, Davis, in 2016 and 2018. These are course offerings. The front matter identifies the document version as 20 April 2018. Authors of the textbook followed by the course are not coauthors of these notes.
Cited passages: §9, items 81–82, printed p. 32, reciprocal-coordinate definitions at infinity; §9, item 84, printed p. 33, topological one-point compactification. The apparent inconsistent sphere equation in item 84 was not used.
By Haynes Miller, explicitly credited for the supplementary-note collection on the MIT OpenCourseWare readings page. The collection accompanies Differential Equations, MIT 18.03, Spring 2010. This course context does not establish a note publication date. MIT OpenCourseWare hosts the collection.
Chapter 15 in 18.03 Supplementary Notes by Haynes Miller. Authorship inherits the explicitly verified collection credit to Haynes Miller; it is not inferred from course instructor credits. No separate chapter publication date is verified.
Cited passages: printed pp. 72–73, common homogeneous equation (1), initial-data system (3), determinant (4) and zero-or-nowhere-zero theorem. The final PDF page identifies the Spring 2010 course.
Course issued by Massachusetts Institute of Technology and hosted by MIT OpenCourseWare. Fall 2010 is the course term, not an independently verified publication or revision date of each resource. No course-wide author byline is assigned.
Supplementary course notes issued by Massachusetts Institute of Technology and hosted by MIT OpenCourseWare. No individual note author is independently verified. The final-page course imprint gives Fall 2010; this identifies the course term.
Cited passages: p. 1, §1, Extended Green’s Theorem, equation (1): full boundary and induced orientation; subdivision proof: opposite cut integrals cancel; pp. 1–2, §2: excluded origin; pp. 2–3, theorem (3) and Curl Theorem: simply connected domain and global potential. Institutional imprint: p. 5.
By Constantin Carathéodory. Rendiconti del Circolo Matematico di Palermo, volume 32, pp. 193–217 (1911).
The translation is titled On the Domain of Variability of Fourier Coefficients of Positive Harmonic Functions and credits Nicholas J. Williams as translator. It records the original announcement on 26 March 1911 and printing on 16 August 1911; neither dates the translation. The original German scan was not accessible.
Cited passages: Introduction §4, original printed p. 195; §I opening.
By Israel Gohberg, Moshe Livšic and Ilya Piatetski-Shapiro; the credited names are I. Gohberg, M. S. Livšic and I. Piatetski-Shapiro. Integral Equations and Operator Theory, volume 9, pp. ii–7, January 1986. The years 1912–1982 in the title are David Milman’s life years.
Tel Aviv University hosts this copy; the journal is the publication venue. Main inspected the first journal page and running headers; the publisher independently confirms the title, credits, pagination and issue date.
Cited historical passage: printed p. 4, the 1940 publication with M. G. Krein, citing the original paper as reference 3. This hosted excerpt contains a cover and printed pp. 1–7, but no full reference list. This memoir is used for publication history; its stated theorem hypotheses are not treated as the most general modern formulation.
By Mark Krein and David Milman. Studia Mathematica, volume 9 (1940), pp. 133–138.
EuDML record: eudml.org/doc/219061
Main supplied this exact indexed metadata. David Milman (1912–1982) by Israel Gohberg and others, printed p. 4, refers to the original paper as citation 3; the hosted memoir excerpt does not contain the full reference list. The original scan was not read; no theorem statement is attributed here to inspection of it. Batch131’s historical citation uses the memoir instead.
Senior contributing authors: Gilbert Strang and Edwin “Jed” Herman. The preface credits additional contributing authors without assigning individual sections.
Publisher and web host: OpenStax, part of Rice University.
Whole-book publication: 30 March 2016, as stated in the citation information. The website copyright notice is separate.[ref]
Section of Calculus Volume 2 by Gilbert Strang and others; no separate chapter author or section revision date is established.
Cited passages: §5.2, Telescoping Series, definition, finite partial-sum identities and finite-limit convergence criterion.
By Otto Hölder, credited as O. Hölder. Published in Nachrichten von der Königl. Gesellschaft der Wissenschaften und der Georg-Augusts-Universität zu Göttingen, pp. 38–47, 1889, Göttingen: Dieterichsche Verlags-Buchhandlung. German-language article. Wikisource hosts the inspected transcription and links the scanned original. The named presenter is not a coauthor.
Inspected passages: opening §§1–2, printed pp. 38–39. The 1889 date is the original article publication year.
By Christopher E. Heil, printed as Christopher Heil. The introduction identifies these as lecture notes from 2007, and the first page separately states copyright 2007. The 2019 date belongs to the textbook advertised in the introduction. Georgia Institute of Technology hosts the author’s website. The introductory acknowledgments identify underlying texts rather than additional authors of the notes.
Cited passages: Definition1 and pointwise convention, printedpp1–2; §3.5.2 Definition9 Lemma12 Exercise13 Theorem14, printedpp3–5.
Author’s curriculum vitae, headed Christopher Heil, October 2025. The canonical person entry is Christopher E. Heil. Georgia Institute of Technology hosts the author’s website. October 2025 identifies the inspected version; no original publication date is established.
Cited passages: Printedp1 name mathematicsdegree mathematicsappointments andharmonicanalysis/functional analysisresearch interests.
By Skip Thompson. Scholarpedia 2(3):2367, 2007; DOI 10.4249/scholarpedia.2367. Publication year is distinguished from later online revisions.
Cited passages: opening definition and equation (1); Initial History Function; Derivative Discontinuities. Relevant text was inspected through indexed Scholarpedia results when the direct page was unavailable.
Course Notes for Math 256, Harvard, fall 2015. Sections 3.2–3.3 and lecture 4 give topological entropy through open covers and separated/spanning orbit sets, including the compact metric setting and limiting definitions.
Inverse Problems 20, 399–418. Author-hosted published paper; §2.1 defines transport/attenuated data and §2.2 develops the spectral Riemann-Hilbert construction. Full-data inversion and the additional assumptions of the partial-data iteration are distinct results.
Author-attributed proceedings notes, printed pp. 19 onward. The inspected PDF heading supplies the work title and author; no publication year is inferred from its URL. Introduction, printed pp. 20–21, develops Hamiltonian conservation, and later discussion distinguishes rigorous low-regularity solution constructions from formal invariants.
Anonymous two-page appendix. Theorem D.1 states the one-sided polar theorem for the real L-infinity/L1 dual pair; its remark identifies Hahn-Banach separation. No author or publication year is established by the document; the hosting course path is not authorship evidence.
Cited passages: sections 2–3, normality, Fatou/Julia sets and the squaring map; section 7, parabolic petals and basin definition; Appendix F, quadratic parameter space.
Cited passages: introduction, equation (1.1), p. 259: distortion on every closed infinite-dimensional subspace; Remark 3.7, p. 279: bounded distortion means one finite threshold excludes distortability on every subspace.
Cited passages: Theorem 2.3, homogeneous and dual Schrödinger Strichartz estimates, including the excluded two-dimensional endpoint; sections 3.3–3.5, local theory, conservation laws and global existence; the source is an author-hosted book draft, so no edition/year is inferred from its URL.
Cited passages: equations (1.4)–(1.5), lens transforms between free and harmonically trapped mass-critical NLS; Proposition 2.1, local solution and continuation statements. Coefficients are rescaled to the wiki convention with Laplacian coefficient one.
Originally prepared for the summer-semester 2017 LMU course; the consulted title page is dated 22 March 2024. Cited passages: sections 1.4–1.5, boundedness and seminorm/local convexity; section 3.1, Hahn-Banach separation. The existing topological-vector-space root already cites this primary text externally.
Primary lectures: arxiv.org/abs/1903.08304
Cited passages: Lecture 1, pp. 5–6, oriented-contour plus/minus sides, jump matrix and matrix boundary equation; Lecture 2, Cauchy operators and boundary values. The consulted version is arXiv version 1, 20 March 2019.
Cited passages: Chapter 4, §§4.1, 4.5–4.7; Definition 4.16.
Additional author-hosted chapters used here:
Cited passages: §4.4, Corollary 4.19; §4.5, Proposition 4.20 and equations (4.25)–(4.27).
Consulted edition/version: 27 March 2026.
Cited passages: §1, Theorems I–II and §2, divergence relationships and dependencies.
Consulted edition/version: original1918; English translation1971; consulted arXivv3,30May2018.
Emmy Noether original author, M.A.Tavel translator. Original Göttinger Nachrichten235–257; translation journal pages differ between abstract186–207 and fulltext183–207, so omit uncertain translation pagination.
Cited passage: abstract, general averaged variational formulation for slowly varying wave trains. The simple linear-wave example in the concept articles is derived explicitly there rather than attributed to an uninspected page of the paper.
Publisher author G. B. Whitham is verified as Gerald Beresford Whitham by the Caltech Library author authority: feeds.library.caltech.edu/people/Whitham-G-B/article.html . Original publication: Journal of Fluid Mechanics22(2), June1965, pp273–283. Cambridge online-posting date 28 March2006 is distinct from original journal publication.
Full subtitle: With Applications to Schrödinger Operators. Graduate Studies in Mathematics99. Consulted PDF title/copyright pages identify Gerald Teschl, first-edition2009, version12February2009; this is not the second-edition GSM157 linked in a later cover notice.
Cited passages: §1.3, Theorem1.8, printed p44, Riesz functional representation (source uses second-argument-linear convention); §4.1, Theorem4.3, printed p114, Stone formula and half endpoint weights.
Cited passages: Lecture9, Theorem2 and Remark3, pointwise ergodic theorem and norm convergence; Theorem3, characterizations of ergodicity. This is the author's expository lecture series; new mathematical examples in the concept articles are calculated explicitly. Exercises and exams are not being solved.
Articles were limited to the first 100 out of 124 total.

Ancestors (3)

  1. Mathematics bibliography
  2. Mathematics
  3. Home

View article source

Discussion (0) New discussion

There are no discussions about this article yet.

Articles by others on the same topic (0)

There are currently no matching articles.
See all articles in the same topic Create my own version