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Abel inversion using transform techniques

โœ Scribed by L. Montgomery Smith; Dennis R. Keefer; S.I. Sudharsanan


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
601 KB
Volume
39
Category
Article
ISSN
0022-4073

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โœ Adam Bobrowski ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 182 KB

Necessary and sufficient conditions are given for a Banach-space-valued function f to be the Laplace-Stieltjes transform of a function of bounded variation. These conditions are used to obtain generation theorems for both absolutely continuous integrated semigroups and Abel summable semigroups.