A Characterization Theorem of the Differential of Functions Valued in B-Valued Generalized Functionals
Received:January 11, 2010  Revised:January 12, 2011
Key Words: white noise analysis   B-valued generalized functionals   differential   S-transform.  
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Author NameAffiliation
Jin Shu CHEN Department of Applied Mathematics, Lanzhou University of Technology, Gansu 730050, P. R. China 
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Abstract:
      Banach space-valued generalized functionals of white noise form an important part of vector-valued generalized functionals of white noise. In this paper, we discuss the differential of abstract function valued in B-valued generalized functional space. A characterized theorem is obtained by using their S-transform.
Citation:
DOI:10.3770/j.issn:1000-341X.2011.05.009
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