Toft, J and Gumber, A and Manna, R and Ratnakumar, PK (2021) Translation and modulation invariant Hilbert spaces. In: Monatshefte fur Mathematik .
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Official URL: https://doi.org/10.1007/s00605-021-01589-7
Abstract
Let H be a Hilbert space of distributions on Rd which contains at least one non-zero element of the Feichtinger algebra S and is continuously embedded in D�. If H is translation and modulation invariant, also in the sense of its norm, then we prove that H= L2, with the same norm apart from a multiplicative constant. © 2021, The Author(s).
| Item Type: | Journal Article |
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| Publication: | Monatshefte fur Mathematik |
| Publisher: | Springer |
| Additional Information: | The copyright for this article belongs to Authors |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 01 Dec 2021 14:41 |
| Last Modified: | 01 Dec 2021 14:41 |
| URI: | http://eprints.iisc.ac.in/id/eprint/70025 |
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