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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the relation between positive definite functions and generalized Toeplitz kernels
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by J. Friedrich
Proc. Amer. Math. Soc. 120 (1994), 727-730
DOI: https://doi.org/10.1090/S0002-9939-1994-1209422-X

Abstract:

We show that extension problems for generalized Toeplitz kernels may be completely reduced to extension problems for positive definite functions, where the solution is well known. These considerations in particular imply that generalized Toeplitz kernels may be represented as Fourier transforms of positive operator-valued measures.
References
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Bibliographic Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 120 (1994), 727-730
  • MSC: Primary 42A82; Secondary 47A57, 47B35
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1209422-X
  • MathSciNet review: 1209422