Essentials of Integration Theory for Analysis (Graduate Texts in Mathematics, 262) Ed 2

ISBN10:3030584771ISBN13:

Description:
When the first edition of this textbook published in 2011, it constituted a substantial revision of the best-selling Birkhuser title by the same author, A Concise Introduction to the Theory of Integration. Appropriate as a primary text for a one-semester graduate course in integration theory, this GTM is also useful for independent study. A complete solutions manual is available for instructors who adopt the text for their courses. This second edition has been revised as follows: 2.2.5 and 8.3 have been substantially reworked. New topics have been added. As an application of the material about Hermite functions in 7.3.2, the author has added a brief introduction to Schwartz’s theory of tempered distributions in 7.3.4. Section 7.4 is entirely new and contains applications, including the Central Limit Theorem, of Fourier analysis to measures. Related to this are subsections 8.2.5 and 8.2.6, where Lvy’s Continuity Theorem and Bochner’s characterization of the Fourier transforms of Borel probability on

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Authors: Daniel W. Stroock

Date: 2021

Upload Date: 8-16-2023 6:03:18 PM

Format: pdf

Pages: 301

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Language: English

ISBN / ASIN: ISBN10:3030584771

ISBN13: ISBN13:

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