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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Notes on a $C_0$-group generated by the Lévy Laplacian


Authors: Dong Myung Chung, Un Cig Ji and Kimiaki Saitô
Journal: Proc. Amer. Math. Soc. 130 (2002), 1197-1206
MSC (2000): Primary 60H40
Published electronically: September 19, 2001
MathSciNet review: 1873797
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Abstract: In this paper we shall give some results on a $C_0$-group generated by the Lévy Laplacian and operators approximating that group in the space $\mathcal{ L}({\mathbf E})$ of continuous linear operators defined on a certain locally convex space ${\mathbf E}$ in $(\mathcal{S})^*.$


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Additional Information

Dong Myung Chung
Affiliation: Department of Mathematics, Sogang University, Seoul 121-742, Korea
Email: dmchung@ccs.sogang.ac.kr

Un Cig Ji
Affiliation: Department of Mathematics, Sogang University, Seoul 121-742, Korea
Email: ucji@nuri.net

Kimiaki Saitô
Affiliation: Department of Information Sciences, Meijo University, Tempaku, Nagoya 468-8502, Japan
Email: ksaito@meijo-u.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9939-01-06147-0
PII: S 0002-9939(01)06147-0
Keywords: $C_0$-group, the L\'evy Laplacian, white noise analysis
Received by editor(s): May 20, 2000
Received by editor(s) in revised form: October 21, 2000
Published electronically: September 19, 2001
Communicated by: Claudia M. Neuhauser
Article copyright: © Copyright 2001 American Mathematical Society