ENGLISH

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

By Roger Godement

Book information

Publisher
Springer
Year
2015
ISBN
978-3-319-16906-4, 3319169068, 978-3-319-16907-1, 3319169076
DOI
10.1007/978-3-319-16907-1
Language
english
Format
PDF
Filesize
3 MB (3175006 bytes)
Series
Universitext
Pages
534\534
Library
kolxoz
Orientation
portrait
Paginated
yes
Scanned
no
Time added
2016-05-22 07:20:00
Real Functions

Description

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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