Bhimani, DG and Balhara, R and Thangavelu, S (2019) Hermite Multipliers on Modulation Spaces. In: Springer Proceedings in Mathematics and Statistics, 275 . pp. 42-64.
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Official URL: https://doi.org/10.1007/978-3-030-05657-5_5
Abstract
We study multipliers associated to the Hermite operator on modulation spaces We prove that the operator m(H) is bounded on under standard conditions on m, for suitable choice of p and q. As an application, we point out that the solutions to the free wave and Schrödinger equations associated to H with initial data in a modulation space will remain in the same modulation space for all times. We also point out that Riesz transforms associated to H are bounded on some modulation spaces.
| Item Type: | Journal Article |
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| Publication: | Springer Proceedings in Mathematics and Statistics |
| Publisher: | Springer New York LLC |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Keywords: | Developing countries; Partial differential equations, Dinger equation; Hermite; Modulation spaces; Riesz transform; Standard conditions, Modulation |
| Department/Centre: | Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering) |
| Date Deposited: | 27 Oct 2022 08:44 |
| Last Modified: | 27 Oct 2022 08:44 |
| URI: | https://eprints.iisc.ac.in/id/eprint/77604 |
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