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Complex Analysis and Operator Theory

, Volume 13, Issue 1, pp 127–139 | Cite as

\(L^2\)-Müntz Spaces as Model Spaces

  • Emmanuel FricainEmail author
  • Pascal Lefèvre
Article
  • 41 Downloads

Abstract

We emphasize a bridge between two areas of function theory: hilbertian Müntz spaces and model spaces of the Hardy space of the right half plane. We give miscellaneous applications of this viewpoint to hilbertian Müntz spaces.

Keywords

Model spaces Müntz spaces Mellin transform 

Mathematics Subject Classification

Primary 46E22 30H10 30B10 

Notes

Acknowledgements

We would like to thank the anonymous referee for his/her suggestions to improve the presentation and organization of the paper.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Laboratoire Paul PainlevéUniversité Lille 1Villeneuve d’AscqFrance
  2. 2.Laboratoire de Mathématiques de LensUniversité-d’ArtoisLensFrance

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