Analysis. IV, Integration and spectral theory, harmonic analysis, the garden of modular delights / Roger Godement ; translated by Urmie Ray.

Format:

Book

Author/Creator:

Godement, Roger, author.

Contributor:

Ray, Urmie, translator.

Series:

Universitext 0172-5939

Universitext, 0172-5939

Standardized Title:

Analyse mathématique. IV, Intégration et théorie spectrale, analyse harmonique, le jardin des délices modulaires. English

Language:

English

French

Subjects (All):

Functional analysis.

Modular functions.

Physical Description:

xi, 527 pages : illustrations ; 24 cm.

Other Title:

Integration and spectral theory, harmonic analysis, the garden of modular delights

Analysis 4

Place of Publication:

Cham : Springer, [2015]

Summary:

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.

Contents:

Integration and Fourier Transform

The Garden of Modular Delights or The Opium of Mathematics.

Notes:

Includes index.

ISBN:

3319169068

9783319169064

OCLC:

910078913