Time-frequency Analysis of Born-Jordan Pseudodifferential Operators
Functional Analysis
2018-03-23 v1 Mathematical Physics
math.MP
Abstract
Born-Jordan operators are a class of pseudodifferential operators arising as a generalization of the quantization rule for polynomials on the phase space introduced by Born and Jordan in 1925. The weak definition of such operators involves the Born-Jordan distribution, first introduced by Cohen in 1966 as a member of the Cohen class. We perform a time-frequency analysis of the Cohen kernel of the Born -Jordan distribution, using modulation and Wiener amalgam spaces. We then provide sufficient and necessary conditions for Born-Jordan operators to be bounded on modulation spaces. We use modulation spaces as appropriate symbols classes.
Keywords
Cite
@article{arxiv.1601.05303,
title = {Time-frequency Analysis of Born-Jordan Pseudodifferential Operators},
author = {Elena Cordero and Maurice de Gosson and Fabio Nicola},
journal= {arXiv preprint arXiv:1601.05303},
year = {2018}
}
Comments
21 pages, 1 figure