Description

Book Synopsis
The Uncertainty Principle in Harmonic Analysis (UP) is a classical, yet rapidly developing, area of modern mathematics. 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.

Trade Review
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)

Table of Contents
  • Mathematical shapes of uncertainty
  • Gap theorems
  • A problem by Polya and Levinson
  • Determinacy of measures and oscillations of high-pass signals
  • Beurling-Malliavin and Bernstein's problems
  • The type problem
  • Toeplitz approach to UP
  • Toeplitz version of the Beurling-Malliavin theory
  • Bibliography

Toeplitz Approach to Problems of the Uncertainty

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    A Paperback by Alexei Poltoratski

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      View other formats and editions of Toeplitz Approach to Problems of the Uncertainty by Alexei Poltoratski

      Publisher: MP-AMM American Mathematical
      Publication Date: 4/30/2015 12:00:00 AM
      ISBN13: 9781470420178, 978-1470420178
      ISBN10: 1470420171

      Description

      Book Synopsis
      The Uncertainty Principle in Harmonic Analysis (UP) is a classical, yet rapidly developing, area of modern mathematics. 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.

      Trade Review
      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)

      Table of Contents
      • Mathematical shapes of uncertainty
      • Gap theorems
      • A problem by Polya and Levinson
      • Determinacy of measures and oscillations of high-pass signals
      • Beurling-Malliavin and Bernstein's problems
      • The type problem
      • Toeplitz approach to UP
      • Toeplitz version of the Beurling-Malliavin theory
      • Bibliography

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