Vector valued distributions having a smooth convolution inverse

DOI10.2140/pjm.1980.90.347zbMath0428.46030OpenAlexW2010209934MaRDI QIDQ1137221

Hector O. Fattorini

Publication date: 1980

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1980.90.347

zbMATH Keywords

distribution semi-groupsHadamard-Mandelbrojt classsmooth convolution inversevector valued distributions

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Spaces of vector- and operator-valued functions (46E40) Operations with distributions and generalized functions (46F10) Spaces of linear operators; topological tensor products; approximation properties (46A32) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Abstract integral equations, integral equations in abstract spaces (45N05)

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Structure theorems for vector valued ultradistributions ⋮ Distribution semigroups and abstract Cauchy problems

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