On the Laplace transform for vector valued hyperfunctions
type: Item
instance of: scholarly article
title: On the Laplace transform for vector valued hyperfunctions
zbMATH Open document ID: 1206.44001
author: Paweł Domański
author: Michael Langenbruch
published in: Functiones et Approximatio. Commentarii Mathematici
publication date: 2011-01-13T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.facm/1291903394
review text: From the authors' 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 \(X=L_b(E,F)\) is the space of operators between locally convex spaces.
reviewed by: Lothar Berg
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 46F15
Mathematics Subject Classification ID: 32A45
zbMATH DE Number: 5835884
zbMATH Keywords: Laplace hyperfunctions
zbMATH Keywords: Laplace transform
zbMATH Keywords: locally convex spaces
MaRDI profile type: Publication
OpenAlex ID: W1996015531
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DOI: 10.7169/FACM/1291903394
description: scientific article; zbMATH DE number 5835884