Decay of the Fourier Transform

Elijah Liflyand

ISBN 10: 3034806248 / ISBN 13: 9783034806244

Editore: Springer Basel Okt 2014, 2014

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This item is printed on demand - it takes 3-4 days longer - Neuware -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. 236 pp. Englisch.

Codice articolo 9783034806244

Dati bibliografici

• Titolo: Decay of the Fourier Transform
• Editore: Springer Basel Okt 2014
• Data di pubblicazione: 2014
• Lingua: Inglese
• ISBN 10: 3034806248
• ISBN 13: 9783034806244
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 241 L x 160 A x 19 P (millimetri) 241 millimetri di larghezza per 160 millimetri di altezza per 19 millimetri di profondità
• Peso: 524 grammi

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Riassunto

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.?