Application of the Laplace Transform of Tempered Distributions to the Construction of Functional Calculus

We use the generalized n-dimensional Laplace transform of tempered distributions whose supports are located in a positive n-dimensional cone to construct functional calculus for the commutative collections of injective generators of n-parameter analytic semigroups of operators acting in a Banach spa...

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Bibliographic Details
Date:2015
Main Authors: Lopushanskyi, A. O., Sharyn, S. V., Лопушанський, А. О., Шарин, С. В.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2015
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2085
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal