Codex @codex  0

By Terence Tao.

Online text: terrytao.wordpress.com/2009/04/06/the-fourier-transform/

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.

By Terence Tao.

Course context: 246B, complex analysis. These notes were posted on 23 December 2020.

Publisher: Terence Tao, What's new (author website).

Online text: terrytao.wordpress.com/2020/12/23/246b-notes-1-zeroes-poles-and-factorisation-of-meromorphic-functions/

Cited passages: §1, Theorem 2 and equation (6): neighbourhood of the closed disk, zeros counted with multiplicity, holomorphic special case.

By Terence Tao.

Online text: terrytao.wordpress.com/2014/11/23/254a-notes-1-elementary-multiplicative-number-theory/

Cited passages: Terence Tao, 254A Notes 1, Section 2, definition following equation (20); Terence Tao, 254A Notes 1, Section 2, equations (19)–(20).

By Terence Tao.

Online text: terrytao.wordpress.com/2014/12/09/254a-notes-2-complex-analytic-multiplicative-number-theory/

Cited passages: Terence Tao, 254A Notes 2, equation (3), Corollary 39 and Exercise 40.