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.
Spectral inversion of the generalized Abel integral transform
✍ Scribed by E. Simonneau; A.M. Varela; C. Muñoz-Tuñón
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 614 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0022-4073
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