Gaussian kernel operators on white noise functional spaces
type: Item
instance of: scholarly article
title: Gaussian kernel operators on white noise functional spaces
zbMATH Open document ID: 1001.60072
DOI: 10.1007/BF02898241
published in: Science in China. Series A
publication date: 2002-08-15T00:00:00Z
review text: The Gaussian kernel operators on white noise functional spaces, including second quantization Fourier-Mehler transform, scaling, renormalization, etc. are studied by means of symbol calculus, and characterized by the intertwining relations with annihilation and creation operator. The infinitesimal generators of the Gaussian kernel operators are second order white noise operators of which the number operator and the Gross Laplacian are particular examples.
reviewed by: Zagorka Lozanov-Crvenković
Mathematics Subject Classification ID: 60H40
zbMATH DE Number: 1782011
zbMATH Keywords: Gaussian kernel operators
zbMATH Keywords: symbols
zbMATH Keywords: Laplacian
author: Shunlong Luo
author: Jia-An Yan
MaRDI profile type: Publication
cites work: White noise calculus and Fock space
cites work: Q5824570
cites work: Q4385714
cites work: Q4892549
cites work: Infinite dimensional rotations and Laplacians in terms of white noise calculus
cites work: Q4026019
cites work: Q3979056
cites work: Transforms on white noise functionals with their applications to Cauchy problems
full work available at URL: https://doi.org/10.1007/bf02898241
OpenAlex ID: W1569044821
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description: scientific article; zbMATH DE number 1782011