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Some Notes About Distribution Frame Multipliers

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Landscapes of Time-Frequency Analysis

Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

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Abstract

Inspired by a recent work about distribution frames, the definition of multiplier operator is extended in the rigged Hilbert spaces setting and a study of its main properties is carried on. In particular, conditions for the density of domain and boundedness are given. The case of Riesz distribution bases is examined in order to develop a symbolic calculus.

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Acknowledgements

R.C. has been partially supported by the “Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni” (GNAMPA-INdAM).

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università degli Studi di Palermo, Palermo, Italy

    Rosario Corso & Francesco Tschinke

Authors
  1. Rosario Corso
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  2. Francesco Tschinke
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Corresponding authors

Correspondence to Rosario Corso or Francesco Tschinke .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Turin, Torino, Italy

    Paolo Boggiatto

  2. Department of Mathematics, Ghent University, Ghent, Belgium

    Tommaso Bruno

  3. Department of Mathematics, University of Turin, Torino, Italy

    Elena Cordero

  4. Institute of Mathematics, University of Vienna, Wien, Austria

    Hans G. Feichtinger

  5. Department of Mathematical Sciences, Polytechnic University of Turin, Torino, Italy

    Fabio Nicola

  6. Department of Mathematics, University of Turin, Torino, Italy

    Alessandro Oliaro

  7. Department of Mathematical Sciences, Polytechnic University of Turin, Torino, Italy

    Anita Tabacco

  8. Department of Mathematical Sciences, Polytechnic University of Turin, Torino, Italy

    Maria Vallarino

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Corso, R., Tschinke, F. (2020). Some Notes About Distribution Frame Multipliers. In: Boggiatto, P., et al. Landscapes of Time-Frequency Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-56005-8_6

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