Decay of the Fourier Transform
Springer Basel (Verlag)
978-3-0348-0624-4 (ISBN)
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.
"The overall presentation is clear and the reader is carefully guided through this territory which is marked by a beautiful blend of ideas and techniques from analysis, geometry and also number theory." (Wien R. Steinbauer, Monatshefte für Mathematik, Vol. 185, 2018)
"It is an introduction to current topics in Fourier analysis, to be read and appreciated by mathematicians ... . the book is carefully designed and well written. It does a very good job of familiarizing the reader with the relevant techniques and results, relying on a beautiful interplay of analysis, geometry and number theory." (Hartmut Führ, Mathematical Reviews, January, 2016)
Erscheint lt. Verlag | 10.10.2014 |
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Zusatzinfo | XII, 222 p. 5 illus., 2 illus. in color. |
Verlagsort | Basel |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 496 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Schlagworte | Analysis • Bounded Variation • Curvature • decay rate • Fourier transform • spherical average |
ISBN-10 | 3-0348-0624-8 / 3034806248 |
ISBN-13 | 978-3-0348-0624-4 / 9783034806244 |
Zustand | Neuware |
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