Further study of modulation spaces as Banach algebras

التفاصيل البيبلوغرافية
العنوان: Further study of modulation spaces as Banach algebras
المؤلفون: Feichtinger, Hans G., Kobayashi, Masaharu, Sato, Enji
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Functional Analysis
الوصف: 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 ${\mathcal F}L^q_s({\mathbf R}^n)$.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2405.09060
رقم الانضمام: edsarx.2405.09060
قاعدة البيانات: arXiv