Description

Book Synopsis
The six-volume collection, Generalized Functions, published in Russian between 1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and representation theory. Volume 1 is devoted to basics of the theory of generalized functions.

Table of Contents
  • Definition and simplest properties of generalized functions
  • Fourier transforms of generalized functions
  • Particular types of generalized functions
  • Summary of fundamental definitions and equations of volume I
  • Table of Fourier transforms
  • Proof of the completeness of the generalized-function space
  • Generalized functions of complex variables
  • Notes and references to the literature
  • Bibliography
  • Index
  • Index of particular generalized functions

Generalized Functions Volume 1

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    £55.80

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    RRP £62.00 – you save £6.20 (10%)

    Order before 4pm today for delivery by Sat 20 Jun 2026.

    A Hardback by I.m. Gel`fand, G.E. Shilov

    2 in stock


      View other formats and editions of Generalized Functions Volume 1 by I.m. Gel`fand

      Publisher: MP-AMM American Mathematical
      Publication Date: 4/30/2016 12:00:00 AM
      ISBN13: 9781470426583, 978-1470426583
      ISBN10: 1470426587

      Description

      Book Synopsis
      The six-volume collection, Generalized Functions, published in Russian between 1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and representation theory. Volume 1 is devoted to basics of the theory of generalized functions.

      Table of Contents
      • Definition and simplest properties of generalized functions
      • Fourier transforms of generalized functions
      • Particular types of generalized functions
      • Summary of fundamental definitions and equations of volume I
      • Table of Fourier transforms
      • Proof of the completeness of the generalized-function space
      • Generalized functions of complex variables
      • Notes and references to the literature
      • Bibliography
      • Index
      • Index of particular generalized functions

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