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Characterizations of ultradistributions with compact support and decomposition by support


Authors: Soon-Yeong Chung and Dohan Kim
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
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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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DOI: https://doi.org/10.1090/S0002-9939-1991-1047002-7
Keywords: Nonquasianalyticity, ultradistribution, DF-space
Article copyright: © Copyright 1991 American Mathematical Society