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An application of limiting interpolation to Fourier series theory

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The Diversity and Beauty of Applied Operator Theory

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 268))

Abstract.

The limiting real interpolation method is applied to describe the behavior of the Fourier coefficients of functions that belong to spaces which are “very close” to L2. The Fourier coefficients are taken with respect to bounded orthonormal systems.

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Author information

Authors and Affiliations

  1. Department Object Recognition, Fraunhofer Institute of Optronics System Technologies and Image Exploitation IOSB, Gutleuthausstr. 1, 76275, Ettlingen, Germany

    Leo R. Ya. Doktorski

Authors
  1. Leo R. Ya. Doktorski
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Corresponding author

Correspondence to Leo R. Ya. Doktorski .

Editor information

Editors and Affiliations

  1. Fakultät für Mathematik, TU Chemnitz, Chemnitz, Sachsen, Germany

    Albrecht Böttcher

  2. Fakultät für Mathematik, TU Chemnitz, Chemnitz, Germany

    Daniel Potts

  3. Fakultät für Mathematik, TU Chemnitz, Chemnitz, Germany

    Peter Stollmann

  4. Fakultät für Mathematik, TU Chemnitz, Chemnitz, Germany

    David Wenzel

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© 2018 Springer International Publishing AG, part of Springer Nature

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Cite this paper

Doktorski, L.R.Y. (2018). An application of limiting interpolation to Fourier series theory. In: Böttcher, A., Potts, D., Stollmann, P., Wenzel, D. (eds) The Diversity and Beauty of Applied Operator Theory. Operator Theory: Advances and Applications, vol 268. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-75996-8_10

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