Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 1998; 35(3): 527-538

Printed September 1, 1998

Copyright © The Korean Mathematical Society.

Kernel operators on Fock space

Changsoo Bahn, Chul Ki Ko, and Yong Moon Park

Yonsei University, Yonsei University and Yonsei University

Abstract

We study on kernel operators (Wick monomials) on symmetric Fock space. We give optimal conditions on kernels so that the corresponding kernel operators are densely defined linear operators on the Fock space. We try to formulate our results in the framework of white noise analysis as much as possible. The most of the results in this paper can be extended to anti-symmetric Fock space.

Keywords: Fock space, kernel operator, white noise analysis, Gelfand triple

MSC numbers: 47A05, 47N50, 60G15