White Noise pp 74-145 | Cite as

The Spaces (f) and (f)*

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


In this chapter we analyze the spaces (f), (f)* of Example 3.10. In particular, we review results from the articles of Hida, Potthoff and Streit (1988), Kubo and Yokoi (1989), Kubo and Takenaka (1980b), Kuo, Potthoff and Streit (1991), Kuo, Potthoff and Yan (1992), Lee (1991), Meyer and Yan (1988, 1989), Potthoff and Streit (1990, 1991a,b), Potthoff and Yan (1992), Yan (1990a,b,c,d), and Yokoi (1990).


Brownian Motion Positive Element Integral Kernel Continuous Version Hermite Function 
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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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