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arXiv · 2102.13006

Affine Quantum Harmonic Analysis

Eirik Berge·Stine M. Berge·Franz Luef·Eirik Skrettingland
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Abstract

We develop a quantum harmonic analysis framework for the affine group. This encapsulates several examples in the literature such as affine localization operators, covariant integral quantizations, and affine quadratic time-frequency representations. In the process, we develop a notion of admissibility for operators and extend well known results to the operator setting. A major theme of the paper is the interaction between operator convolutions, affine Weyl quantization, and admissibility.

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BibTeXRIS

Eirik Berge, Stine M. Berge, Franz Luef, Eirik Skrettingland. 2021-02-25. Affine Quantum Harmonic Analysis. https://arxiv.org/abs/2102.13006

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