On a problem by Hans Feichtinger
Classical Analysis and ODEs
2018-12-11 v3
Abstract
In this paper, we solve a spectral problem about positive semi-definite trace-class pseudodifferential operators on modulation spaces which was posed by H. Feichtinger. Later, C. Heil and D. Larson rephrased the problem in the broader setting of positive semi-definite trace-class operators on a separable Hilbert space. Our solution consists in constructing a counterexample that solves Hans Feichtinger's problem by first solving this second problem.
Cite
@article{arxiv.1705.06392,
title = {On a problem by Hans Feichtinger},
author = {Radu Balan and Kasso A. Okoudjou and Anirudha Poria},
journal= {arXiv preprint arXiv:1705.06392},
year = {2018}
}