INFINITESIMAL GENERATORS OF THE GENERALIZED FOURIER{GAUSS TRANSFORMS

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Published: Feb 15, 2010
DOI: https://doi.org/10.14403/jcms.2010.23.1.1
Keywords:
white noise theory, Gross Laplacian, number operator, Fourier-Gauss transform, Fourier-Mehler transform, infinitesimal generator
Mathematics Subject Classification (2020):
Primary 60H40, Secondary 46F25

Main Article Content

Un Cig Ji
Department of Mathematics, Research Institute of Mathematical Finance
Young Yi Kim
Department of Mathematics, Chungbuk National University

Abstract





In this note, we investigate the infinitesimal generators of the transformation groups induced by the Fourier{Gauss and Fourier{Mehler transforms on white noise functionals.





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Article Details

Issue
Vol. 23 No. 1 (2010)
Section
Articles