On the generators of Clifford semigroups: Polynomial resolvents and their integral transforms

This paper deals with generators A of strongly continuous right linear semigroups in Banach two-sided spaces whose set of scalars is an arbitrary Clifford algebra Cℓ(0,n). We study the invertibility of operators of the form P(A), where P(x)∈R[x] is any real polynomial, and we give an integral repres...

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Bibliographic Details

Published in:	Journal of mathematical analysis and applications Vol. 521; no. 1; p. 126905
Main Authors:	Ghiloni, Riccardo, Recupero, Vincenzo
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.05.2023
Subjects:	Clifford algebras Functional calculus Functions of hypercomplex variables Laplace transform Quaternions Slice regular semigroups Clifford algebras Functions of hypercomplex variables Quaternions Laplace transform Slice regular semigroups Functional calculus
ISSN:	0022-247X, 1096-0813
Online Access:	Get full text
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