Functions of Bounded Variation and Their Fourier Transforms - Rilegato

Libro 77 di 88: Applied and Numerical Harmonic Analysis

Liflyand, Elijah

 
9783030044282: Functions of Bounded Variation and Their Fourier Transforms
Rilegato
ISBN 10: 3030044289 ISBN 13: 9783030044282
Casa editrice: Birkhauser, 2019

Sinossi

Functions of bounded variation represent an important class of functions. Studying their Fourier transforms is a valuable means of revealing their analytic properties. Moreover, it brings to light new interrelations between these functions and the real Hardy space and, correspondingly, between the Fourier transform and the Hilbert transform.  

This book is divided into two major parts, the first of which addresses several aspects of the behavior of the Fourier transform of a function of bounded variation in dimension one. In turn, the second part examines the Fourier transforms of multivariate functions with bounded Hardy variation. The results obtained are subsequently applicable to problems in approximation theory, summability of the Fourier series and integrability of trigonometric series.   


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

Dalla quarta di copertina

Functions of bounded variation represent an important class of functions. Studying their Fourier transforms is a valuable means of revealing their analytic properties. Moreover, it brings to light new interrelations between these functions and the real Hardy space and, correspondingly, between the Fourier transform and the Hilbert transform.  

This book is divided into two major parts, the first of which addresses several aspects of the behavior of the Fourier transform of a function of bounded variation in dimension one. In turn, the second part examines the Fourier transforms of multivariate functions with bounded Hardy variation. The results obtained are subsequently applicable to problems in approximation theory, summability of the Fourier series and integrability of trigonometric series.   

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

Editore
Birkhauser
Data di pubblicazione
2019
Lingua
Inglese
ISBN 10 
3030044289
ISBN 13 
9783030044282
Rilegatura
Copertina rigida
Numero edizione
1
Numero di pagine
236
Contatto del produttore
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Altre edizioni note dello stesso titolo

9783030044305: Functions of Bounded Variation and Their Fourier Transforms

Edizione in evidenza

ISBN 10:  3030044300 ISBN 13:  9783030044305
Casa editrice: Birkhäuser, 2019
Brossura