559 citations · 1.5k across the 55 of their papers we have counts for
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Random Sampling of Sparse Trigonometric Polynomials
Holger Rauhut
We study the problem of reconstructing a multivariate trigonometric polynomial having only few non-zero coefficients from few random samples. Inspired by recent work of Candes, Rom…
Coorbit Space Theory for Quasi-Banach Spaces
Holger Rauhut
We generalize the classical coorbit space theory developed by Feichtinger and Gr"ochenig to quasi-Banach spaces. As a main result we provide atomic decompositions for coorbit space…
Wiener Amalgam Spaces with respect to Quasi-Banach Spaces
Holger Rauhut
We generalize the theory of Wiener amalgam spaces on locally compact groups to quasi-Banach spaces. As a main result we provide convolution relations for such spaces. Also we weake…
Radial Time-Frequency Analysis and Embeddings of Radial Modulation Spaces
Holger Rauhut
In this paper we construct frames of Gabor type for the space of radial -functions, and more generally, for subspaces of modulation spaces consisting of radi…