## Integral Operators, Pseudodifferential Operators, and Gabor Frames (2003)

by
Christopher Heil

Citations: | 15 - 4 self |

### BibTeX

@MISC{Heil03integraloperators,,

author = {Christopher Heil},

title = {Integral Operators, Pseudodifferential Operators, and Gabor Frames},

year = {2003}

}

### OpenURL

### Abstract

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.