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Pseudodifferential operators, Gabor frames, and local trigonometric bases

  • Richard Rochberg
  • Kazuya Tachizawa
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Abstract

We use Gabor frames to give sufficient conditions on the symbols to ensure that the corresponding pseudodifferential operators belong to the classes S p,q . We also give estimates for the size of eigenfunctions of pseudodifferential operators. We use local trigonometric bases to approximately diagonalize elliptic pseudodifferential operators.

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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Richard Rochberg
  • Kazuya Tachizawa

There are no affiliations available

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