Integral Representations of Semi-Inner Products in Function Spaces

Integral Representations of Semi-Inner Products in Function Spaces

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Various spaces of measurable functions are usually endowed with semi-inner products expressed in terms of positive measures. Trying to give answers to the inverse problem, we present integral representations for some semi-inner products on function spaces of measurable functions, obtained either dir...

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Main Author: Florian-Horia Vasilescu
Format: Article
Language:English
Published: Etamaths Publishing 2017-07-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/1283
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spelling doaj-bd0d94b4d33448ffbddc2208d4a538582021-08-26T13:44:38ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392017-07-01142107133245Integral Representations of Semi-Inner Products in Function SpacesFlorian-Horia Vasilescu0University of Lille 1Various spaces of measurable functions are usually endowed with semi-inner products expressed in terms of positive measures. Trying to give answers to the inverse problem, we present integral representations for some semi-inner products on function spaces of measurable functions, obtained either directly or by adapting and extending techniques from the theory of moment problems.http://etamaths.com/index.php/ijaa/article/view/1283
collection DOAJ
language English
format Article
sources DOAJ
author Florian-Horia Vasilescu
spellingShingle Florian-Horia Vasilescu
Integral Representations of Semi-Inner Products in Function Spaces
International Journal of Analysis and Applications
author_facet Florian-Horia Vasilescu
author_sort Florian-Horia Vasilescu
title Integral Representations of Semi-Inner Products in Function Spaces
title_short Integral Representations of Semi-Inner Products in Function Spaces
title_full Integral Representations of Semi-Inner Products in Function Spaces
title_fullStr Integral Representations of Semi-Inner Products in Function Spaces
title_full_unstemmed Integral Representations of Semi-Inner Products in Function Spaces
title_sort integral representations of semi-inner products in function spaces
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2017-07-01
description Various spaces of measurable functions are usually endowed with semi-inner products expressed in terms of positive measures. Trying to give answers to the inverse problem, we present integral representations for some semi-inner products on function spaces of measurable functions, obtained either directly or by adapting and extending techniques from the theory of moment problems.
url http://etamaths.com/index.php/ijaa/article/view/1283
work_keys_str_mv AT florianhoriavasilescu integralrepresentationsofsemiinnerproductsinfunctionspaces
_version_ 1721193527518429184

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