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A Unified Characterization Theorem in White Noise Theory

Un Cig Ji

Department of Mathematics, Chungbuk National University, Cheongju 361-763, Korea

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and

Nobuaki Obata

Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan

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https://doi.org/10.1142/S0219025703001122Cited by:12 (Source: Crossref)

Abstract

We revisit a CKS-space from the viewpoint of standard setup of white noise calculus and prove a general characterization theorem for white noise operators from a CKS-space into another CKS-space. The usual characterizations so far obtained for white noise distributions, white noise test functions and white noise operators are all consequences of the unified characterization theorem.

Keywords:

AMSC: Primary 60H40, Secondary 46A32, Secondary 46F25, Secondary 46G20

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