Functions of Bounded Variation and Their Fourier Transforms / Applied and Numerical Harmonic Analysis (PDF)

Name: Functions of Bounded Variation and Their Fourier Transforms / Applied and Numerical Harmonic Analysis
Brand: Springer-Verlag GmbH
SKU: 117823509
Price: 43.99 EUR
Availability: OnlineOnly

(Sprache: Englisch)

Autor: Elijah Liflyand

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Functions of Bounded Variation and Their Fourier Transforms / Applied and Numerical Harmonic Analysis, Elijah Liflyand

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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...

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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.