1.

Record Nr.

UNINA9910299769503321

Autore

Godement Roger

Titolo

Analysis IV : Integration and Spectral Theory, Harmonic Analysis, the Garden of Modular Delights / / by Roger Godement

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015

ISBN

3-319-16907-6

Edizione

[1st ed. 2015.]

Descrizione fisica

1 online resource (XI, 527 p. 4 illus.)

Collana

Universitext, , 0172-5939

Disciplina

515.7

Soggetti

Functions of real variables

Real Functions

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Includes index.

Sommario/riassunto

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.