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 2 is devoted to detailed study of generalized functions as linear functionals on appropriate spaces of smooth test functions.

Table of Contents
  • Linear topological spaces
  • Fundamental and generalized functions
  • Fourier transformations of fundamental and generalized functions
  • Spaces of type $S$
  • Generalization of spaces of type $S$
  • Notes and references
  • Bibliography
  • Index

Generalized Functions Volume 2 Spaces of

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    A Hardback by I.M. Gel'fand, G.E. Shilov

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      View other formats and editions of Generalized Functions Volume 2 Spaces of by I.M. Gel'fand

      Publisher: American Mathematical Society
      Publication Date: Publication Date: 31/03/2016
      ISBN13: 9781470426590, 978-1470426590
      ISBN10: 1470426595

      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 2 is devoted to detailed study of generalized functions as linear functionals on appropriate spaces of smooth test functions.

      Table of Contents
      • Linear topological spaces
      • Fundamental and generalized functions
      • Fourier transformations of fundamental and generalized functions
      • Spaces of type $S$
      • Generalization of spaces of type $S$
      • Notes and references
      • Bibliography
      • Index

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