Further study of modulation spaces as Banach algebras
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929343830163456 |
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| author | Feichtinger, Hans G. Kobayashi, Masaharu Sato, Enji |
| author_facet | Feichtinger, Hans G. Kobayashi, Masaharu Sato, Enji |
| contents | 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-Lévy theorem for $M^{p,q}_s({\mathbf R}^n)$ and Fourier-Wermer algebras ${\mathcal F}L^q_s({\mathbf R}^n)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_09060 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Further study of modulation spaces as Banach algebras Feichtinger, Hans G. Kobayashi, Masaharu Sato, Enji Functional Analysis 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-Lévy theorem for $M^{p,q}_s({\mathbf R}^n)$ and Fourier-Wermer algebras ${\mathcal F}L^q_s({\mathbf R}^n)$. |
| title | Further study of modulation spaces as Banach algebras |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2405.09060 |