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arXiv · 1905.03178

Time-Frequency Analysis in the Unit Ball

Mathias Ionescu-Tira
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Abstract

As an appropriate analog of the Euclidean short-time Fourier transform, we study a windowed version of the Helgason-Fourier transform on the complex unit ball and translate the theory of modulation/coorbit spaces. As a result, atomic decompositions by means of Banach frames are obtained.

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Mathias Ionescu-Tira. 2019-05-08. Time-Frequency Analysis in the Unit Ball. https://arxiv.org/abs/1905.03178

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