On the laplace transform for vector valued hyperfunctions
Authors:
- Paweł Jan Domański,
- Michael Langenbruch
Abstract
We introduce a Laplace transform for Laplace hyperfunctions valued in a complete locally convex space X. In this general case the Laplace transform is a compatible family of holomorphic functions with values in local Banach spaces. Especially interesting is the case where X = Lb(E, F) is the space of operators between locally convex spaces. In the forthcoming paper [6] this will be applied to solve the abstract Cauchy problem for operators in complete ultrabornological locally convex spaces (like spaces of smooth functions and distributions) extending results of Komatsu for operators in Banach spaces.
- Record ID
- UAM276008b6637c47da8d5851ad66be57fa
- Author
- Journal series
- Functiones et Approximatio, Commentarii Mathematici, ISSN 0208-6573, e-ISSN 2080-9433
- Issue year
- 2010
- Vol
- 43
- Pages
- 129-159
- ASJC Classification
- DOI
- DOI:10.7169/facm/1291903394 Opening in a new tab
- Language
- (en) English
- Score (nominal)
- 8
- Score source
- journalList
- Publication indicators
- = 2; : 2010 = 0.715
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAM276008b6637c47da8d5851ad66be57fa/
- URN
urn:amu-prod:UAM276008b6637c47da8d5851ad66be57fa
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