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Lieferstatus:	i.d.R. innert 7-14 Tagen versandfertig
Veröffentlichung:	November 2020
Genre:	Schulbücher
	DivergenceTheorem / Friedrich'smollifiers / Hausdorffmeasure / Hermitefunctions / integrationtheory / Jacobi'stransformation / Lebesgue'sdifferentiationtheorem / Levycontinuitytheorem / measureandintegration / Radon-Nikodymtheorem / Riemannintegration / Riemannsum / Rieszsunriselemma mehr...
ISBN:	9783030584771
EAN-Code:	9783030584771
Verlag:	Springer
Einband:	Gebunden
Sprache:	English
Dimensionen:	H 241 mm / B 160 mm / D 21 mm
Gewicht:	678 gr
Seiten:	304
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Inhalt:

When the first edition of this textbook published in 2011, it constituted a substantial revision of the best-selling Birkh?ser 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: ?2.5 and ?3 have been substantially reworked. New topics have been added. As an application of the material about Hermite functions in ?3.2, the author has added a brief introduction to Schwartz's theory of tempered distributions in ?3.4. Section ?4 is entirely new and contains applications, including the Central Limit Theorem, of Fourier analysis to measures. Related to this are subsections ?2.5 and ?2.6, where L?y's Continuity Theorem and Bochner's characterization of the Fourier transforms of Borel probability on ?sup>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.