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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Veröffentlicht in:	Journal of mathematical analysis and applications Jg. 521; H. 1; S. 126905
Hauptverfasser:	Ghiloni, Riccardo, Recupero, Vincenzo
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Elsevier Inc 01.05.2023
Schlagworte:	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-Zugang:	Volltext
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