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Functions of Bounded Variation and Their Fourier Transforms
Engelsk
Bogcover for Functions of Bounded Variation and Their Fourier Transforms af Elijah Liflyand, 9783030044282
Specifikationer
Sprog:
Engelsk
Sider:
194
ISBN-13:
9783030044282
Indbinding:
Hardback
ISBN-10:
3030044289
Udg. Dato:
21 mar 2019
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
21 mar 2019
Forfatter(e):

Functions of Bounded Variation and Their Fourier Transforms

Engelsk
Format:

Bog beskrivelse

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.   


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Specifikationer
Sprog:
Engelsk
Sider:
194
ISBN-13:
9783030044282
Indbinding:
Hardback
ISBN-10:
3030044289
Udg. Dato:
21 mar 2019
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
21 mar 2019
Forfatter(e):
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