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http://hdl.handle.net/123456789/1547
Title: | Joint functional calculus in algebra of polynomial tempered distributions |
Authors: | Sharyn, Sergii |
Keywords: | functional calculus for generators of operator semigroups polynomials on locally convex spaces infinite parameter operator semigroups |
Issue Date: | 2016 |
Publisher: | Methods of Functional Analysis and Topology |
Series/Report no.: | 22;1 |
Abstract: | In this paper we develop a functional calculus for a countable system of generators of contraction strongly continuous semigroups. As a symbol class of such calculus we use the algebra of polynomial tempered distributions. We prove a differential property of constructed calculus and describe its image with the help of the commutant of polynomial shift semigroup. As an application, we consider a function of countable set of second derivative operators. |
URI: | http://hdl.handle.net/123456789/1547 |
Appears in Collections: | Наукові видання (ФМІ) |
Files in This Item:
File | Description | Size | Format | |
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mfat_2016_01_845.pdf | 333.32 kB | Adobe PDF | View/Open |
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