Open Access
April, 1999 A characterization theorem for operators on white noise functionals
Dong Myung CHUNG, Tae Su CHUNG, Un Cig Jl
J. Math. Soc. Japan 51(2): 437-447 (April, 1999). DOI: 10.2969/jmsj/05120437

Abstract

A W-transform of an operator on white noise functionals is introduced and then characterizations for operators on white noise functionals are given in terms of their W-transforms. A simple proof of the analytic characterization theorem for operator symbol and convergence of operators are also discussed.

Citation

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Dong Myung CHUNG. Tae Su CHUNG. Un Cig Jl. "A characterization theorem for operators on white noise functionals." J. Math. Soc. Japan 51 (2) 437 - 447, April, 1999. https://doi.org/10.2969/jmsj/05120437

Information

Published: April, 1999
First available in Project Euclid: 10 June 2008

zbMATH: 0935.46039
MathSciNet: MR1674758
Digital Object Identifier: 10.2969/jmsj/05120437

Subjects:
Primary: 46F25

Keywords: $S$-transform , $W$-transform , operator symbol , White noise functionals

Rights: Copyright © 1999 Mathematical Society of Japan

Vol.51 • No. 2 • April, 1999
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