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Functions of Bounded Variation and Their Fourier Transforms
Engelsk Hardback
Functions of Bounded Variation and Their Fourier Transforms
Engelsk Hardback

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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.   


Product detaljer
Sprog:
Engelsk
Sider:
194
ISBN-13:
9783030044282
Indbinding:
Hardback
Udgave:
ISBN-10:
3030044289
Udg. Dato:
21 mar 2019
Længde:
0mm
Bredde:
155mm
Højde:
235mm
Forlag:
Springer Nature Switzerland AG
Oplagsdato:
21 mar 2019
Forfatter(e):
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