Toeplitz Approach to Problems of the Uncertainty Principle
«This book is warmly recommended to everybody who wants to study this classical, yet rapidly developing area of modern mathematics". - László Kérchy, Acta Sci. Math (Szeged)»
The Uncertainty Principle in Harmonic Analysis (UP) is a classical, yet rapidly developing, area of modern mathematics. Its first significant results and open problems date back to the work of Norbert Wiener, Andrei Kolmogorov, Mark Krein and Arne Beurling. Les mer
These notes are devoted to the so-called Toeplitz approach to UP which recently brought solutions to some of the long-standing problems posed by the classics. After a short overview of the general area of UP the discussion turns to the outline of the new approach and its results. Among those are solutions to Beurling's Gap Problem in Fourier analysis, the Type Problem on completeness of exponential systems, a problem by Polya and Levinson on sampling sets for entire functions, Bernstein's problem on uniform polynomial approximation, problems on asymptotics of Fourier integrals and a Toeplitz version of the Beurling-Malliavin theory. One of the main goals of the book is to present new directions for future research opened by the new approach to the experts and young analysts.
Detaljer
- Forlag
- American Mathematical Society
- Innbinding
- Paperback
- Språk
- Engelsk
- ISBN
- 9781470420178
- Utgivelsesår
- 2015
- Format
- 25 x 18 cm
Anmeldelser
«This book is warmly recommended to everybody who wants to study this classical, yet rapidly developing area of modern mathematics". - László Kérchy, Acta Sci. Math (Szeged)»