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Decay of the Fourier Transform : Analytic and Geometric Aspects / / by Alex Iosevich, Elijah Liflyand



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Autore: Iosevich Alex Visualizza persona
Titolo: Decay of the Fourier Transform : Analytic and Geometric Aspects / / by Alex Iosevich, Elijah Liflyand Visualizza cluster
Pubblicazione: Basel : , : Springer Basel : , : Imprint : Birkhäuser, , 2014
Edizione: 1st ed. 2014.
Descrizione fisica: 1 online resource (226 p.)
Disciplina: 510
515
515.2433
Soggetto topico: Mathematical analysis
Analysis (Mathematics)
Fourier analysis
Analysis
Fourier Analysis
Persona (resp. second.): LiflyandElijah
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 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.
Sommario/riassunto: The Plancherel formula says that the L2 norm of the function is equal to the L2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of an L2 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 L2 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.
Titolo autorizzato: Decay of the Fourier Transform  Visualizza cluster
ISBN: 3-0348-0625-6
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910768182003321
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