Explorations in Harmonic Analysis: With Applications to Complex Function Theory and the Heisenberg Group - Rilegato

Libro 22 di 88: Applied and Numerical Harmonic Analysis

Krantz, Steven G.

 
9780817646684: Explorations in Harmonic Analysis: With Applications to Complex Function Theory and the Heisenberg Group
Rilegato
ISBN 10: 081764668X ISBN 13: 9780817646684
Casa editrice: Birkhauser, 2009

Sinossi

This self-contained text provides an introduction to modern harmonic analysis in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. It takes the novice mathematical reader from the rudiments of harmonic analysis (Fourier series) to the Fourier transform, pseudodifferential operators, and finally to Heisenberg analysis.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Dalla quarta di copertina

This self-contained text provides an introduction to modern harmonic analysis in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. It takes the novice mathematical reader from the rudiments of harmonic analysis (Fourier series) to the Fourier transform, pseudodifferential operators, and finally to Heisenberg analysis.

Within the textbook, the new ideas on the Heisenberg group are applied to the study of estimates for both the Szegö and PoissonSzegö integrals on the unit ball in complex space. Thus the main theme of the book is also tied into complex analysis of several variables. With a rigorous but well-paced exposition, this text provides all the necessary background in singular and fractional integrals, as well as Hardy spaces and the function theory of several complex variables, needed to understand Heisenberg analysis.

Explorations in Harmonic Analysis is ideal for graduate students in mathematics, physics, and engineering. Prerequisites include a fundamental background in real and complex analysis and some exposure to functional analysis.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Birkhauser
Data di pubblicazione
2009
Lingua
Inglese
ISBN 10 
081764668X
ISBN 13 
9780817646684
Rilegatura
Copertina rigida
Numero di pagine
360
Contatto del produttore
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Germania

Altre edizioni note dello stesso titolo

9780817672072: Explorations in Harmonic Analysis

Edizione in evidenza

ISBN 10:  0817672079 ISBN 13:  9780817672072
Casa editrice: Springer, 2009
Brossura