J. Korean Math. Soc. 1998; 35(3): 527-538
Printed September 1, 1998
Copyright © The Korean Mathematical Society.
Changsoo Bahn, Chul Ki Ko, and Yong Moon Park
Yonsei University, Yonsei University and Yonsei University
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
2017; 54(6): 1801-1816
2001; 38(2): 297-309
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd