Decay of the Fourier Transform | Buch

Cover: 9783034806244 | Decay of the Fourier Transform | Analytic and Geometric Aspects | Buch

Rückseite: 9783034806244 | Decay of the Fourier Transform | Analytic and Geometric Aspects | Buch

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Sprache: Englisch

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Beschreibung

The Plancherel formula says that the L^2 norm of the function is equal to the L^2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of an L^2 function decays at infinity. This book is dedicated to the study of the rate of this decay under various assumptions and circumstances, far beyond the original L^2 setting. Analytic and geometric properties of the underlying functions interact in a seamless symbiosis which underlines the wide range influences and applications of the concepts under consideration.¿

Zusammenfassung

Only book where the decay rate of the Fourier transform is the dominant theme

Systematic examination of the concepts

Focus on interaction between the analytic and geometric approaches of Fourier theory?

Inhaltsverzeichnis

Foreword.- Introduction.- Chapter 1. Basic properties of the Fourier transform.- Chapter 2. Oscillatory integrals and Fourier transforms in one variable.- Chapter 3. The Fourier transform of an oscillating function.- Chapter 4. The Fourier transform of a radial function.- Chapter 5. Multivariate extensions.- Appendix.- Bibliography.¿

Details

Erscheinungsjahr:	2014
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xii 222 S. 3 s/w Illustr. 2 farbige Illustr. 222 p. 5 illus. 2 illus. in color.
ISBN-13:	9783034806244
ISBN-10:	3034806248
Sprache:	Englisch
Herstellernummer:	86192599
Einband:	Gebunden
Autor:	Liflyand, Elijah Iosevich, Alex
Hersteller:	Springer Basel Birkhäuser Basel Springer Basel AG
Verantwortliche Person für die EU:	Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße:	241 x 160 x 19 mm
Von/Mit:	Elijah Liflyand (u. a.)
Erscheinungsdatum:	10.10.2014
Gewicht:	0,524 kg