ON TOPOLOGICAL ALGEBRAS OF ANALYTIC FUNCTIONALS WITH A MULTIPLICATION DEFINED BY TRANSLATIONS

DOI10.18287/2541-7525-2018-24-3-14-22zbMath1434.46029OpenAlexW2911669603MaRDI QIDQ5204931

Sergej N. Melikhov, Olga A. Ivanova

Publication date: 10 December 2019

Published in: Vestnik of Samara University. Natural Science Series (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgu578

zbMATH Keywords

convolution operatortopological algebraweighted space of entire functionsalgebra of analytic functionalscommunant

Mathematics Subject Classification ID

Locally convex Fréchet spaces and (DF)-spaces (46A04) Inductive and projective limits in functional analysis (46M40) Commutative Banach algebras and commutative topological algebras (46J99)

Cites Work

• Operators that commute with generalized integration in spaces of analytic functionals
• Generalized displacement operators with a right infinitesimal Sturm- Liouville operator
• On the completeness of orbits of a Pommiez operator in weighted (LF)-spaces of entire functions
• The Laplace transform on Lie groups
• On operators commuting with a Pommiez type operator in weighted spaces of entire functions
• SPECTRAL DECOMPOSITIONS IN SPACES OF ANALYTIC FUNCTIONALS
• SPECTRAL THEORY IN SPACES OF ANALYTIC FUNCTIONALS FOR OPERATORS GENERATED BY MULTIPLICATION BY THE INDEPENDENT VARIABLE
• On commutant of differentiation and translation operators in weighted spaces of entire functions
• Équations différentielles d'ordre infini
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