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Functions of Bounded Variation and Their Fourier Transforms (Applied and Numerical Harmonic Analysis) - Tapa dura

Libro 77 de 88: Applied and Numerical Harmonic Analysis

Liflyand, Elijah

 
9783030044282: Functions of Bounded Variation and Their Fourier Transforms (Applied and Numerical Harmonic Analysis)
Tapa dura
ISBN 10: 3030044289 ISBN 13: 9783030044282
Editorial: Birkhäuser, 2019

Sinopsis

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.   


"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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.   

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2019
Idioma
Inglés
ISBN 10 
3030044289
ISBN 13 
9783030044282
Encuadernación
Tapa dura
Número de edición
1
Número de páginas
236
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