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most citedEntropy of Compact Operators with Applications to Landau-Pollak-Slepian Theory and Sobolev Spaces

2 citations · 3 across the 5 of their papers we have counts for

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math.FA2024★ 2 cited

Entropy of Compact Operators with Applications to Landau-Pollak-Slepian Theory and Sobolev Spaces

Thomas Allard, Helmut Bölcskei

We derive a precise general relation between the entropy of a compact operator and its eigenvalues. It is then shown how this result along with the underlying philosophy can be app…

math.FA2024★ 1 cited

Metric Entropy of Analytic Function Classes via Ellipsoidal Methods

Thomas Allard, Helmut Bölcskei

We present a systematic methodology for characterizing the metric entropy of infinite-dimensional ellipsoids with exponentially decaying semi-axes. The approach does not rely on th…