The Poincaré–Lelong equation is an important concept in complex analysis and complex geometry, particularly in the context of pluripotential theory. It relates the behavior of a plurisubharmonic (psh) function to the associated currents and their manifestations in complex manifolds or spaces.
Schottky's theorem, named after the physicist Walter Schottky, is a fundamental result in the field of mathematics related to complex analysis and algebraic geometry. Specifically, it mostly pertains to the properties of abelian varieties and the structure of their endomorphism rings.
Zubov's method refers to a mathematical approach used primarily in the field of dynamical systems, particularly for analyzing the stability of solutions to differential equations. This method is named after the Russian mathematician V.I. Zubov, who contributed to the study of stability theory. In essence, Zubov's method deals with determining the stability of equilibrium points by constructing Lyapunov functions and using them to assess the behavior of trajectories in the vicinity of these points.
Alice Roth is not a widely recognized name, and it may refer to different individuals or contexts. If you are referring to a specific Alice Roth, she may be a person of local or specialized significance, or it may relate to a particular subject, organization, or event.
Aleksandr Korkin could refer to various individuals or topics, but it is possible that you are referring to a notable Russian mathematician known for his contributions to the field of complex analysis or another branch of mathematics. However, without additional context, it's difficult to provide specific information. If you meant a different Aleksandr Korkin or a different context (e.g., in literature, sports, etc.
As of my last knowledge update in October 2023, I do not have any specific information about an individual named Anton Davidoglu. It's possible that he could be a private individual, a less widely known person, or a fictional character, among other possibilities.
David Nualart is a mathematician known for his work in the field of probability theory and stochastic processes, particularly in relation to the theory of stochastic calculus and its applications. He has made significant contributions to the understanding of stochastic integrals, stochastic differential equations, and their applications in various areas, including finance and mathematical biology. Nualart has published numerous research papers and has authored books on these subjects, becoming a prominent figure in the mathematical community.
Felice Casorati (1850–1918) was an influential Italian mathematician known for his contributions to complex analysis and the theory of functions. He is particularly remembered for developing what is now known as the "Casorati Weierstrass theorem," which is a fundamental result in the field of complex analysis. The theorem provides conditions under which a function behaves in a certain way with respect to its points of discontinuity.
George Peacock (1791-1858) was a notable British mathematician and logician recognized for his contributions to mathematics and the philosophy of mathematics. He played a significant role in the development of mathematical notation and was involved in the early establishment of abstract mathematics. One of his key contributions was the introduction of the concept of a "generalized algebraic structure," which paved the way for later developments in algebra.
Guido Stampacchia (1930-2020) was an Italian mathematician known for his contributions to functional analysis, partial differential equations, and optimal control theory. He made significant advancements in the study of variational inequalities and convex analysis and is recognized for his work on the existence and regularity of solutions to differential equations. His research has had a lasting impact in various areas of mathematics and applied sciences.
Hiroshi Okamura could refer to a number of individuals, as it is a relatively common Japanese name. However, without specific context, it's difficult to determine which Hiroshi Okamura you are asking about.
Henri Léon Lebesgue (June 28, 1875 – July 26, 1941) was a French mathematician best known for his contributions to the field of real analysis, particularly for developing the Lebesgue integral. The Lebesgue integral generalized the concept of integration by allowing for a broader class of functions and providing a more robust framework for convergence than the traditional Riemann integral.
José Sebastião e Silva could refer to several different individuals, but most commonly, it is associated with a notable figure in the field of mathematics, particularly in relation to his contributions to functional analysis and topology. He was an influential Portuguese mathematician known for his work in the mid-20th century.
Leonida Tonelli (1885–1961) was an Italian mathematician renowned for his contributions to the fields of calculus of variations and partial differential equations. He is particularly known for Tonelli's theorem, which deals with the conditions under which certain types of variational problems have solutions. His work has had a significant impact on mathematical analysis and the study of functions of several variables, particularly in the context of convex analysis.
Nikolai Andreevich Lebedev is a name that may refer to various individuals, but without specific context, it's challenging to provide a precise answer. It could relate to a historical figure, a scientist, an artist, or someone else from different fields. If you have a specific context or area (like science, literature, etc.
Nikolay Yakovlevich Sonin was a Russian mathematician known for his contributions to various fields in mathematics. He was born on June 22, 1892, and passed away on June 9, 1970. Sonin's work encompassed areas such as functional analysis, complex analysis, and the theory of functions. He is also recognized for his efforts in mathematical education and for nurturing future generations of mathematicians.
Pierre-Louis Lions is a prominent French mathematician, known for his contributions to the fields of partial differential equations (PDEs) and fluid mechanics. Born on June 3, 1956, he has made significant advancements in the study of nonlinear PDEs, particularly in relation to the mathematical theory of traffic flow and the development of optimal transport theory.
As of my last update in October 2023, Sergei Viktorovich Bochkarev is not widely known in mainstream contexts, and there may not be significant public information available about him. It's possible he could be a figure in a specialized field, such as science, arts, or business, or a person who has emerged in news or social media after my last update.
Seán Dineen is a name that could refer to various individuals, most notably in the context of Irish culture or history. One prominent Seán Dineen is a notable figure in the field of Irish language and literature, and he may also be known in connection with sports, especially GAA (Gaelic Athletic Association) in Ireland.
Victor Lidskii is a Russian mathematician known for his work in the fields of functional analysis, partial differential equations, and mathematical physics. He has contributed significantly to the theory of operators and spectral theory.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    Figure 3.
    Visual Studio Code extension installation
    .
    Figure 4.
    Visual Studio Code extension tree navigation
    .
    Figure 5.
    Web editor
    . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
    Video 4.
    OurBigBook Visual Studio Code extension editing and navigation demo
    . Source.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact