Characterizations of Ultradistributions with Compact Support and Decomposition by Support
Copyright policy )Characterizations of Ultradistributions with Compact Support and Decomposition by Support
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 ∪ K 2 {K_1} \cup {K_2} of two compact sets can be decomposed as the sum of one with support in K 1 {K_1} and one with support in K 2 {K_2} , along the context of Malgrange [17].
\(DF\)-space, Topological linear spaces of test functions, distributions and ultradistributions, ultradistributions, Hyperfunctions, analytic functionals, nonquasianalyticity
\(DF\)-space, Topological linear spaces of test functions, distributions and ultradistributions, ultradistributions, Hyperfunctions, analytic functionals, nonquasianalyticity
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