Integral Operators , Pseudodifferential Operators , and Gabor Frames

  title={Integral Operators , Pseudodifferential Operators , and Gabor Frames},
  author={Christopher Heil},
This chapter illustrates the use of Gabor frame analysis to derive results on the spectral properties of integral and pseudodifferential operators. In particular, we obtain a sufficient condition on the kernel of an integral operator or the symbol of a pseudodifferential operator which implies that the operator is trace-class. This result significantly improves a sufficient condition due to Daubechies and Hörmander. In: Advances in Gabor Analysis, H. G. Feichtinger and T. Strohmer, eds., Birkh… CONTINUE READING
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