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A Scalar-Valued Fourier Transform for the Heisenberg Group

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


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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