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International Journal of Analysis and Applications | Vol.14, Issue.2 | | Pages

International Journal of Analysis and Applications

Integral Representations of Semi-Inner Products in Function Spaces

Florian-Horia Vasilescu  
Abstract

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.

Original Text (This is the original text for your reference.)

Integral Representations of Semi-Inner Products in Function Spaces

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.

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Florian-Horia Vasilescu,.Integral Representations of Semi-Inner Products in Function Spaces. 14 (2),.

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