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Analysis IV: Integration and Spectral Theory, Harmonic Analysis, the Garden of Modular Delights

Analysis IV: Integration and Spectral Theory, Harmonic Analysis, the Garden of Modular Delights

Paperback

Series: Universitext

CalculusGeneral Mathematics

ISBN10: 3319169068
ISBN13: 9783319169064
Publisher: Springer Nature
Published: May 13 2015
Pages: 527
Weight: 1.65
Height: 1.09 Width: 6.14 Depth: 9.21
Language: English
Analysis Volume IV introduces the reader to functional analysis (integration, Hilbert spaces, harmonic analysis in group theory) and to the methods of the theory of modular functions (theta and L series, elliptic functions, use of the Lie algebra of SL2). As in volumes I to III, the inimitable style of the author is recognizable here too, not only because of his refusal to write in the compact style used nowadays in many textbooks. The first part (Integration), a wise combination of mathematics said to be modern' and classical', is universally useful whereas the second part leads the reader towards a very active and specialized field of research, with possibly broad generalizations.

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General Mathematics