On a problem by Hans Feichtinger

Radu Balan, Kasso A. Okoudjou, Anirudha Poria

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Abstract

In this paper, we solve a spectral problem about positive semi-definite trace-class pseudodifferential operators on modulation spaces which was posed by H. Feichtinger. Later, C. Heil and D. Larson rephrased the problem in the broader setting of positive semi-definite trace-class operators on a separable Hilbert space. Our solution consists in constructing a counterexample that solves Hans Feichtinger’s problem by first solving this second problem.

Original languageEnglish
Pages (from-to)881-891
Number of pages11
JournalOperators and Matrices
Volume12
Issue number3
DOIs
Publication statusPublished - Sept 2018

Keywords

  • Modulation spaces
  • Pseudodifferential operators
  • Time-frequency analysis
  • Trace-class operators
  • Wilson bases

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Balan, R., Okoudjou, K. A., & Poria, A. (2018). On a problem by Hans Feichtinger. Operators and Matrices, 12(3), 881-891. https://doi.org/10.7153/oam-2018-12-53