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The Hille-Yosida theorem for resolvent operators of multiparameter semigroups

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
Date:	1996
Main Authors:	Lavrent'ev, A. S., Mishura, Yu. S., Лаврентьев, А. С., Мишура, Ю. С.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1996
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5363
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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