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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Notes on a $C_0$-group generated by the Lévy Laplacian
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by Dong Myung Chung, Un Cig Ji and Kimiaki Saitô PDF
Proc. Amer. Math. Soc. 130 (2002), 1197-1206 Request permission

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
  • 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
  • © Copyright 2001 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 1197-1206
  • MSC (2000): Primary 60H40
  • DOI: https://doi.org/10.1090/S0002-9939-01-06147-0
  • MathSciNet review: 1873797