Functions of Bounded Variation and Their Fourier Transforms

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Éditeur :

Birkhäuser


Collection :

Applied and Numerical Harmonic Analysis

Paru le : 2019-03-06

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Description


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.   

Pages
194 pages
Collection
Applied and Numerical Harmonic Analysis
Parution
2019-03-06
Marque
Birkhäuser
EAN papier
9783030044282
EAN PDF
9783030044299

Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
19
Taille du fichier
2806 Ko
Prix
105,49 €