Fourier Analysis: An Introduction
Fourier Analysis: An Introduction by Elias M. Stein
English | April 6, 2003 | ISBN: 069111384X | 328 pages | PDF | 1.31 Mb
English | April 6, 2003 | ISBN: 069111384X | 328 pages | PDF | 1.31 Mb
The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Fourier Analysis is the first, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.
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