An excursion to multiplications and convolutions on modulation spaces
Functional Analysis
2022-02-15 v1
Abstract
We give a self-contained introduction to (quasi-)Banach modulation spaces of ultradistributions, and review results on boundedness for multiplications and convolutions for elements in such spaces. Furthermore, we use these results to study the Gabor product. As an example, we show how it appears in a phase-space formulation of the nonlinear cubic Schr\"odinger equation.
Keywords
Cite
@article{arxiv.2202.06552,
title = {An excursion to multiplications and convolutions on modulation spaces},
author = {Nenad Teofanov and Joachim Toft},
journal= {arXiv preprint arXiv:2202.06552},
year = {2022}
}
Comments
This is aimed as a survey paper. Especially we present some convolution results which are special cases of the arXiv paper with the arXiv number 2011.06941 . The paper consists of 29 pages