**ABSTRACT**
###
Integral Operators, Pseudodifferential Operators and Gabor Frames

####
C. Heil

#####
School of
Mathematics, Georgia Institute of Technology, Atlanta, GA 30322-0160,
USA

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.