Average sampling in certain subspaces of Hilbert-Schmidt operators on \(L^2(\mathbb{R}^d)\)

DOI10.1007/s43670-021-00011-5zbMath1479.94088arXiv2011.05871OpenAlexW3172077962MaRDI QIDQ2059805

Antonio G. García

Publication date: 14 December 2021

Published in: Sampling Theory, Signal Processing, and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.05871

zbMATH Keywords

Hilbert-Schmidt operatorsaverage samplingWeyl transformKohn-Nirenberg transformtranslation of operators

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) General harmonic expansions, frames (42C15) Other transforms and operators of Fourier type (43A32) Sampling theory in information and communication theory (94A20)

Related Items (1)

Sampling in \(\Lambda\)-shift-invariant subspaces of Hilbert-Schmidt operators on \(L^2(\mathbb{R}^d)\)

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