Essentials of Integration Theory for Analysis

Daniel W. Stroock

ISBN 10: 3030584771 / ISBN 13: 9783030584771

Verlag: Springer International Publishing, 2020

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - When the first edition of this textbook published in 2011, it constituted a substantial revision of the best-selling Birkhäuser 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 and8.3 have been substantially reworked. New topics have been added. As an application of the material about Hermite functions in7.3.2, the author has added a brief introduction to Schwartz's theory of tempered distributions in7.3.4. Section7.4 is entirely new and contains applications, including the Central Limit Theorem, of Fourier analysis to measures. Related to this are subsections8.2.5 and8.2.6, where Lévy's Continuity Theorem and Bochner's characterization of the Fourier transforms of Borel probability on N are proven. Subsection 8.1.2 is new and contains a proof of the Hahn Decomposition Theorem. Finally, there are several new exercises, some covering material from the original edition and others based on newly added material. Bestandsnummer des Verkäufers 9783030584771

Bibliografische Details

Titel: Essentials of Integration Theory for Analysis

Verlag: Springer International Publishing

Erscheinungsdatum: 2020

Einband: Buch

Zustand: Neu

Auflage: 2. Auflage