Joint functional calculus in algebra of polynomial tempered distributions (Q2822225)
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scientific article; zbMATH DE number 6630283
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Joint functional calculus in algebra of polynomial tempered distributions |
scientific article; zbMATH DE number 6630283 |
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27 September 2016
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countable joint functional calculus
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contraction semigroup
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math.FA
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0.88469386
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0.87814337
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0.8754923
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0.8726216
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0.87154967
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Joint functional calculus in algebra of polynomial tempered distributions (English)
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The author constructs a functional calculus for countable systems of generators of contraction semigroups and studies its properties. This calculus is an infinite-dimensional analog of the one developed by \textit{O. V. Lopushansky} and \textit{S. V. Sharyn} [Sib. Math. J. 55, No. 1, 105--117 (2014); translation from Sib. Mat. Zh. 55, No. 1, 131--146 (2014; Zbl 1327.47010)]. As an example, the case of a countable set of second derivative operators is considered.
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