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Теорема Хилле - Иосида для резольвентных операторов многопараметрических полугрупп

We consider multiparameter semigroups of two types (multiplicative and coordinatewise) and resolvent operators associated with such semigroups. We prove an alternative version of the Hille-Yosida theorem in terms of resolvent operators. For simplicity of presentation, we give statements and proofs f...

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Bibliographic Details
Main Authors: Мишура, Ю.С., Лаврентьев, А.С.
Format: Article
Language:Russian
Published: Інститут математики НАН України 1996
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/157549
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Summary:We consider multiparameter semigroups of two types (multiplicative and coordinatewise) and resolvent operators associated with such semigroups. We prove an alternative version of the Hille-Yosida theorem in terms of resolvent operators. For simplicity of presentation, we give statements and proofs for two-parameter semigroups.