Further study of modulation spaces as Banach algebras

Autor: Feichtinger, Hans G., Kobayashi, Masaharu, Sato, Enji
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: This paper discusses spectral synthesis for those modulation spaces $M^{p,q}_s({\mathbf R}^n)$ which form Banach algebras under pointwise multiplication. An important argument will be the ``ideal theory for Segal algebras'' by H. Reiter [15]. This paper is a continuation of our paper [5] where the case $q=1$ is treated. As a by-product we obtain a variant of Wiener-L\'evy theorem for $M^{p,q}_s({\mathbf R}^n)$ and Fourier-Wermer algebras ${\mathcal F}L^q_s({\mathbf R}^n)$.
Databáze: arXiv