Thangavelu, S (2023) A Scalar-Valued Fourier Transform for the Heisenberg Group. [Book Chapter]
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Official URL: https://doi.org/10.1007/978-3-031-37800-3_7
Abstract
We define a scalar-valued Fourier transform for functions on the Heisenberg group and establish some of its basic properties like inversion formula, the Plancherel theorem, and the Riemann�Lebesgue lemma. We also restate certain well-known theorems for the group Fourier transform in terms of the new transform which we would like to call the Strichartz Fourier transform. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2023.
| Item Type: | Book Chapter |
|---|---|
| Publication: | Applied and Numerical Harmonic Analysis |
| Publisher: | Birkhauser |
| Additional Information: | The copyright for this article belongs to author. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 15 Mar 2024 06:12 |
| Last Modified: | 15 Mar 2024 06:12 |
| URI: | https://eprints.iisc.ac.in/id/eprint/84343 |
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