Functions of Bounded Variation and Their Fourier Transforms (Hardcover, 1st ed. 2019)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Applied and Numerical Harmonic Analysis
Release date:	March 2019
First published:	2019
Authors:	Elijah Liflyand
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	194
Edition:	1st ed. 2019
ISBN-13:	978-3-03-004428-2
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
LSN:	3-03-004428-9
Barcode:	9783030044282

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