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Functions of Bounded Variation and Their Fourier Transforms

E-BookPDF1 - PDF WatermarkE-Book
194 Seiten
Englisch
Springer Nature Switzerlanderschienen am06.03.20191st 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.mehr
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E-BookPDF1 - PDF WatermarkE-Book
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Produkt

KlappentextFunctions 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.
Details
Weitere ISBN/GTIN9783030044299
ProduktartE-Book
EinbandartE-Book
FormatPDF
Format Hinweis1 - PDF Watermark
FormatE107
Erscheinungsjahr2019
Erscheinungsdatum06.03.2019
Auflage1st ed. 2019
ReiheApplied and Numerical Harmonic Analysis
Seiten194 Seiten
SpracheEnglisch
Dateigrösse2802 Kbytes
IllustrationenXXIV, 194 p.
Artikel-Nr.4212166
Rubriken
Genre9200

Inhalt/Kritik

Inhaltsverzeichnis
Stock and tools.- Functions with derivative in a Hardy space.- Integrability spaces: wide, wider and widest.- Sharper results.- Stock and tools for several dimensions.- Integrability of the Fourier transforms.- Sharp results.- Bounded variation and discretization.- Multidimensional case: radial functions.mehr