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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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Characterizations of ultradistributions with compact support and decomposition by support
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by Soon-Yeong Chung and Dohan Kim PDF
Proc. Amer. Math. Soc. 112 (1991), 65-74 Request permission

Abstract:

In this paper we prove that every nonquasianalytic ultradistribution can be uniformly majorized by the behavior of test functions only on the support and that every ultradistribution with support in the union ${K_1} \cup {K_2}$ of two compact sets can be decomposed as the sum of one with support in ${K_1}$ and one with support in ${K_2}$, along the context of Malgrange [17].
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 112 (1991), 65-74
  • MSC: Primary 46F05; Secondary 46F10
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1047002-7
  • MathSciNet review: 1047002