A characterization theorem for operators on white noise functionals

Dong Myung CHUNG; Tae Su CHUNG; Un Cig JI

doi:10.2969/jmsj/05120437

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

A characterization theorem for operators on white noise functionals

Dong Myung CHUNG, Tae Su CHUNG, Un Cig JI

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

JOURNAL FREE ACCESS

1999 Volume 51 Issue 2 Pages 437-447

DOI https://doi.org/10.2969/jmsj/05120437

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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.

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