论文标题
在调制空间上乘以乘法和卷积的游览
An excursion to multiplications and convolutions on modulation spaces
论文作者
论文摘要
我们对（准）Banach调制空间进行了独立的介绍，并回顾了此类空间中元素的乘法和卷积的界限结果。此外，我们使用这些结果来研究Gabor产品。例如，我们说明它如何在非线性立方schrödinger方程的相空间公式中出现。
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 Schrödinger equation.
