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White Noise pp 317-365 | Cite as

Fourier and Fourier-Mehler Transforms

  • Takeyuki Hida
  • Hui-Hsiung Kuo
  • Jürgen Potthoff
  • Ludwig Streit
Chapter
  • 399 Downloads
Part of the Mathematics and Its Applications book series (MAIA, volume 253)

Abstract

Recall that in Section 4.A we have the following J- and f-transformations defined on the space (f)* of generalized white noise functionals: for Ф∈(f)* and ξ∈f(ℝ),

Keywords

Fourier Transform White Noise Adjoint Operator Elementary Property Infinitesimal Generator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1993

Authors and Affiliations

  • Takeyuki Hida
    • 1
  • Hui-Hsiung Kuo
    • 2
  • Jürgen Potthoff
    • 3
  • Ludwig Streit
    • 4
    • 5
  1. 1.Department of MathematicsMeijo UniversityNagoyaJapan
  2. 2.Department of MathematicsLouisiana State UniversityBaton RougeUSA
  3. 3.Universität MannheimMannheimGermany
  4. 4.BiBos, Universität BielefeldBielefeldGermany
  5. 5.Universidade da MadeiraFunchal, MadeiraPortugal

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