© 2015
Analysis IV
Integration and Spectral Theory, Harmonic Analysis, the Garden of Modular Delights
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Part of the Universitext book series (UTX)
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© 2015
Part of the Universitext book series (UTX)
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.
“The author includes many interesting historical comments of great value for those interested in the history of mathematics. The author includes sometimes examples and exercises which help the reader to understand the theory presented.” (Dumitrŭ Popa, zbMATH 1331.28001, 2016)