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Functions of Bounded Variation and Their Fourier Transforms (Applied and Numerical Harmonic Analysis) - Hardcover
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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.
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- VerlagBirkhäuser
- Erscheinungsdatum2019
- ISBN 10 3030044289
- ISBN 13 9783030044282
- EinbandTapa dura
- SpracheEnglisch
- Auflage1
- Anzahl der Seiten236
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Functions of Bounded Variation and Their Fourier Transforms.
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XVI, 212 p. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Applied and Numericaql Harmonic Analysis. Sprache: Englisch. Artikel-Nr. 6771FB
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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
Verlag:
Springer International Publishing, 2019
ISBN 10: 3030044289
ISBN 13: 9783030044282
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Hardcover
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9783030044282
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