Particular case of operator calculus for generalized functions with supports in cone

Particular case of operator calculus for generalized functions with supports in cone

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In this work the construction of functional calculus for strongly continuous semigroups of operators in Schwartz distribution algebra on some cone is generalized. The partial case of vector valued calculus on the base of modification operator Fourier transformation is researched.

Bibliographic Details
Main Author: A. V. Solomko
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2012-12-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Online Access:http://journals.pu.if.ua/index.php/cmp/article/view/17
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spelling doaj-4590f24e063c4517836de1f05faf4dfc2020-11-25T01:29:36ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102012-12-0111929910.15330/cmp.1.1.92-9918Particular case of operator calculus for generalized functions with supports in coneA. V. Solomko0Vasyl Stefanyk Precarpathian National UniversityIn this work the construction of functional calculus for strongly continuous semigroups of operators in Schwartz distribution algebra on some cone is generalized. The partial case of vector valued calculus on the base of modification operator Fourier transformation is researched.http://journals.pu.if.ua/index.php/cmp/article/view/17
collection DOAJ
language English
format Article
sources DOAJ
author A. V. Solomko
spellingShingle A. V. Solomko
Particular case of operator calculus for generalized functions with supports in cone
Karpatsʹkì Matematičnì Publìkacìï
author_facet A. V. Solomko
author_sort A. V. Solomko
title Particular case of operator calculus for generalized functions with supports in cone
title_short Particular case of operator calculus for generalized functions with supports in cone
title_full Particular case of operator calculus for generalized functions with supports in cone
title_fullStr Particular case of operator calculus for generalized functions with supports in cone
title_full_unstemmed Particular case of operator calculus for generalized functions with supports in cone
title_sort particular case of operator calculus for generalized functions with supports in cone
publisher Vasyl Stefanyk Precarpathian National University
series Karpatsʹkì Matematičnì Publìkacìï
issn 2075-9827
2313-0210
publishDate 2012-12-01
description In this work the construction of functional calculus for strongly continuous semigroups of operators in Schwartz distribution algebra on some cone is generalized. The partial case of vector valued calculus on the base of modification operator Fourier transformation is researched.
url http://journals.pu.if.ua/index.php/cmp/article/view/17
work_keys_str_mv AT avsolomko particularcaseofoperatorcalculusforgeneralizedfunctionswithsupportsincone
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