Functions of Bounded Variation and Their Fourier Transforms (Applied and Numerical Harmonic Analysis) - Hardcover
Book 77 of 88: Applied and Numerical Harmonic Analysis
Synopsis
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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From the Back Cover
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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Functions of Bounded Variation and Their Fourier Transforms.
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Functions of Bounded Variation and Their Fourier Transforms (Applied and Numerical Harmonic Analysis)
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Functions of Bounded Variation and Their Fourier Transforms
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 236 pp. Englisch. Seller Inventory # 9783030044282
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Functions of Bounded Variation and Their Fourier Transforms (Applied and Numerical Harmonic Analysis)
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Functions of Bounded Variation and Their Fourier Transforms (Applied and Numerical Harmonic Analysis)
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Functions Of Bounded Variation And Their Fourier Transforms
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Functions of Bounded Variation and Their Fourier Transforms
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Covers almost all the aspects of the behavior of the Fourier transforms of functions of bounded variationMany known and new spaces are consideredA must to read for those who are interested in function spaces and their interrelations. Seller Inventory # 257454848
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Functions Of Bounded Variation And Their Fourier Transforms
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Functions of Bounded Variation and Their Fourier Transforms (Applied and Numerical Harmonic Analysis)
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