Integral Representations of Semi-Inner Products in Function Spaces

Vasilescu, Florian-Horia

Research Article

Integral Representations of Semi-Inner Products in Function Spaces

Florian-Horia Vasilescu¹

University of Lille 1

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.

How to Cite

F.-H. Vasilescu, Integral Representations of Semi-Inner Products in Function Spaces, Int. J. Anal. Appl. 14 (2017), 107–133.

BibTeX

@article{Vasilescu2017,
  author  = {Vasilescu, Florian-Horia},
  title   = {Integral Representations of Semi-Inner Products in Function Spaces},
  journal = {Int. J. Anal. Appl.},
  volume  = {14},
  year    = {2017},
  pages   = {107--133},
  doi     = {}
}

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