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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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Spectral multiplicity of some stochastic processes
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by Slobodanka Mitrovic PDF
Proc. Amer. Math. Soc. 126 (1998), 239-243 Request permission

Abstract:

In this paper we consider the connection between the canonical and the weak-canonical representations for the given second-order stochastic process in a separable Hilbert space and we extend a well-known theorem of H. Cramer concerning sufficient conditions for a process to be of multiplicity one.
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Additional Information
  • Slobodanka Mitrovic
  • Affiliation: Ljutice Bogdana 2/2 No. 35, Belgrade 11040, Serbia
  • Email: emitrosl@ubbg.etf.bg.ac.yu
  • Received by editor(s): August 24, 1995
  • Additional Notes: This paper was presented at the 902nd AMS Meeting held at Burlington, Vermont, August 6–8, 1995
  • Communicated by: James Glimm
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 239-243
  • MSC (1991): Primary 60G12
  • DOI: https://doi.org/10.1090/S0002-9939-98-04295-6
  • MathSciNet review: 1443396