Transformations on white noise functions associated with second order differential operators of diagonal type

Dong Myung Chung; Un Cig Ji; Nobuaki Obata

doi:10.1017/S0027763000006590

Transformations on white noise functions associated with second order differential operators of diagonal type

Dong Myung Chung, Un Cig Ji, Nobuaki Obata

Center for Data-driven Science and Artificial Intelligence (CDS)

Sogang University

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

A generalized number operator and a generalized Gross Laplacian are introduced on the basis of white noise distribution theory. The equicontinuity is examined and associated one-parameter transformation groups are constructed. An infinite dimensional analogue of aχ + b group and Cauchy problems on white noise space are discussed.

Original language	English
Pages (from-to)	173-192
Number of pages	20
Journal	Nagoya Mathematical Journal
Volume	149
DOIs	https://doi.org/10.1017/S0027763000006590
Publication status	Published - 1998 Mar

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title = "Transformations on white noise functions associated with second order differential operators of diagonal type",

abstract = "A generalized number operator and a generalized Gross Laplacian are introduced on the basis of white noise distribution theory. The equicontinuity is examined and associated one-parameter transformation groups are constructed. An infinite dimensional analogue of aχ + b group and Cauchy problems on white noise space are discussed.",

author = "Chung, {Dong Myung} and Ji, {Un Cig} and Nobuaki Obata",

year = "1998",

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doi = "10.1017/S0027763000006590",

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AU - Chung, Dong Myung

AU - Ji, Un Cig

AU - Obata, Nobuaki

PY - 1998/3

Y1 - 1998/3

N2 - A generalized number operator and a generalized Gross Laplacian are introduced on the basis of white noise distribution theory. The equicontinuity is examined and associated one-parameter transformation groups are constructed. An infinite dimensional analogue of aχ + b group and Cauchy problems on white noise space are discussed.

AB - A generalized number operator and a generalized Gross Laplacian are introduced on the basis of white noise distribution theory. The equicontinuity is examined and associated one-parameter transformation groups are constructed. An infinite dimensional analogue of aχ + b group and Cauchy problems on white noise space are discussed.

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EP - 192

JO - Nagoya Mathematical Journal

JF - Nagoya Mathematical Journal

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Transformations on white noise functions associated with second order differential operators of diagonal type

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