Toeplitz Approach to Problems of the Uncertainty Principle is popular PDF and ePub book, written by Alexei Poltoratski in 2015-03-07, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Toeplitz Approach to Problems of the Uncertainty Principle can be Read Online from any device for your convenience.
Toeplitz Approach to Problems of the Uncertainty Principle Book PDF Summary
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. At present, it encompasses a large part of mathematics, from Fourier analysis, frames and completeness problems for various systems of functions to spectral problems for differential operators and canonical systems. 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 Pólya 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. A co-publication of the AMS and CBMS.
Detail Book of Toeplitz Approach to Problems of the Uncertainty Principle PDF
- Author : Alexei Poltoratski
- Release : 07 March 2015
- Publisher : American Mathematical Soc.
- ISBN : 9781470420178
- Genre : Mathematics
- Total Page : 226 pages
- Language : English
- PDF File Size : 13,7 Mb
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