Mathias Ionescu-Tira
Published 2019-05-08Version 1
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.
Comments: 37 pages. Keywords: time-frequency analysis, Helgason transform, Banach frames, weighted coorbit spaces
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