559 citations · 1.5k across the 55 of their papers we have counts for
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Interpolation via weighted minimization
Holger Rauhut, Rachel Ward
Functions of interest are often smooth and sparse in some sense, and both priors should be taken into account when interpolating sampled data. Classical linear interpolation method…
Generalized coorbit space theory and inhomogeneous function spaces of Besov-Lizorkin-Triebel type
Holger Rauhut, Tino Ullrich
Coorbit space theory is an abstract approach to function spaces and their atomic decompositions. The original theory developed by Feichtinger and Gr{ö}chenig in the late 1980ies he…
The Gelfand widths of -balls for
Simon Foucart, Alain Pajor, Holger Rauhut +1
We provide sharp lower and upper bounds for the Gelfand widths of -balls in the -dimensional -space for and . Such estimates are highly…
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…