Vector-valued functional calculus for a convolution algebra of distributions on cone (Q650795)
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scientific article; zbMATH DE number 5981334
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Vector-valued functional calculus for a convolution algebra of distributions on cone |
scientific article; zbMATH DE number 5981334 |
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Vector-valued functional calculus for a convolution algebra of distributions on cone (English)
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27 November 2011
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The authors study the construction of functional calculus for generators of \(n\)-parametric \((C_0)\)-semigroups of operators in convolution algebras of Schwartz distributions with supports in \(\Gamma\) which is a pointed closed convex cone. Further, they also prove the nuclearity of the spaces of duality \(\langle D_{\Gamma}^{\prime}, D_{\Gamma} \rangle\).
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Schwartz distributions
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compact support
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semigroups of operators
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functional calculus
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0.8303718566894531
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