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Stieltjes transforms defined by -semigroups

โœ Scribed by Pedro J. Miana

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
275 KB
Volume
234
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

In this paper we use the resolvent semigroup associated to a C 0 -semigroup to introduce the vector-valued Stieltjes transform defined by a C 0 -semigroup. We give new results which extend known ones in the case of a scalar generalized Stieltjes transform. We work with the vector-valued Weyl fractional calculus to present a deep connection between both concepts.

๐Ÿ“œ SIMILAR VOLUMES

Semigroups defined by generalized Schur
Semigroups defined by generalized Schur functions
โœ Ming-Peng Gong ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 289 KB

We prove that the characterization of the singular matrices A satisfying (1) dan(AX) = dan(XA) VX can be reduced to that of matrices satisfying (2) dan(AX) = 0 VX, where dan is a Schur function. Some partial results on the characterization of (2) are obtained.