Multilinear Fourier Integral operators on modulation spaces
Functional Analysis
2023-02-22 v1
Abstract
In this article, we study properties of multilinear Fourier integral operators on weighted modulation spaces. In particular, using the theory of Gabor frames, we study boundedness of multilinear Fourier integral operators on products of weighted modulation spaces. Further, we investigate the periodic multilinear Fourier integral operator. Finally, we study continuity of bilinear pseudo-differential operators on modulation spaces for certain symbol classes, namely -class.
Cite
@article{arxiv.2302.10598,
title = {Multilinear Fourier Integral operators on modulation spaces},
author = {Aparajita Dasgupta and Lalit Mohan and Shyam Swarup Mondal},
journal= {arXiv preprint arXiv:2302.10598},
year = {2023}
}
Comments
19pp