Schatten class Fourier Integral Operators

Details Schatten class Fourier Integral Operators Schatten class Fourier Integral Operators

2010-05-11

arxiv.org/abs/1005.1832v1

Mathematics

Functional Analysis

Scientific paper

Fourier integral operators with sufficiently smooth phase act on the time-frequency content of functions. However time-frequency analysis has only recently been used to analyze these operators. In this paper, we show that if a Fourier integral operator has a smooth phase function and its symbol is well-localized in time and frequency, then the operator is Schatten \( p \)-class for \( p \in [1,2] \), with inclusion of the symbol in mixed modulation spaces serving as the appropriate measure of time-frequency localization. Our main results are sharp in the sense that larger mixed modulation spaces necessarily contain symbols of Fourier integral operators that are not Schatten \( p \)-class.

Affiliated with

Also associated with

No associations

Rating

Schatten class Fourier Integral Operators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Schatten class Fourier Integral Operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Schatten class Fourier Integral Operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-384677