Acta mathematica scientia,Series A

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An Analytic Characterization of B-Valued Generalized Functionals of White Noise

Wang Caishi; Chen Jinshu; Qu Mingshuang   

  1. School of Mathematics & Information Science, Northwest Normal University, Lanzhou 730070
  • Received:2005-11-09 Revised:2006-11-03 Online:2007-04-25 Published:2007-04-25
  • Contact: Wang Caishi

Abstract: Banach space-valued generalized functionals of white noise form an important part of vector-valued generalized functionals of white noise. In this paper, an analytic characterization theorem is established for Banach space-valued generalized functionals of white noise. Applications of the result are also given.

Key words: White noise analysis, Banach space-valued generalized functionals,
Analytic characterization

CLC Number: 

  • 60H40
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