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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.¿
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 |
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 |
Sicherheitshinweis