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On the Fourier Analysis for L2 Operator-Valued Functions

  • Mawoussi Todjro
  • Yaogan Mensah
Chapter
Part of the STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health book series (STEAM)

Abstract

We endow the set of square integrable operator-valued functions on a locally compact group with a pre-Hilbert module structure and define the ρ-Fourier transform for such functions. We also describe the Fourier transform of Hilbert-Schmidt operator-valued function on compact groups.

Keywords

Fourier transform Hilbert module Hilbert-Schmidt operator Topological groups 

Notes

Acknowledgements

The co-author Yaogan Mensah would like to thank the Third World Academy of Science (TWAS) for its financial support (Fellowship for Research and Advanced Training, FR Number: 3240257263). He also thanks Prof. K. B. Sinha from the Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore (India) for introducing him to some aspects of operator theory.

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Mawoussi Todjro
    • 1
  • Yaogan Mensah
    • 1
  1. 1.Department of MathematicsUniversity of LoméLoméTogo

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