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Decay of the Fourier Transform
Iosevich, Alex; Liflyand, Elijah
€ 139.21
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Description for Decay of the Fourier Transform
Hardcover. Decay of the Fourier Transform Num Pages: 234 pages, 3 black & white illustrations, 2 colour illustrations, biography. BIC Classification: PBKF. Category: (P) Professional & Vocational. Dimension: 243 x 164 x 18. Weight in Grams: 498.
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.
Product Details
Format
Hardback
Publication date
2014
Publisher
Springer Basel Switzerland
Number of pages
350
Condition
New
Number of Pages
222
Place of Publication
Basel, Switzerland
ISBN
9783034806244
SKU
V9783034806244
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Decay of the Fourier Transform
“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 ... Read more