Representation Formulas for Hardy Space Functions Through the Cuntz Relations and New Interpolation Problems

DOI10.1007/978-1-4614-4145-8_7zbMath1316.41001arXiv1104.0621OpenAlexW1772140181MaRDI QIDQ5253905

Itzik Marziano, Izchak Lewkowicz, Palle E. T. Jorgensen, Daniel Alpay

Publication date: 5 June 2015

Published in: Multiscale Signal Analysis and Modeling (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.0621

zbMATH Keywords

Blaschke productSchur functionLeech's theorem

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Interpolation in approximation theory (41A05)

Related Items (11)

On representations of Cuntz algebras and pure isometries ⋮ A new realization of rational functions, with applications to linear combination interpolation, the Cuntz relations and kernel decompositions ⋮ Infinite weighted graphs with bounded resistance metric ⋮ Reflection positivity via Krein space analysis ⋮ Beurling-Lax type theorems and Cuntz relations ⋮ Characterizations of families of rectangular, finite impulse response, para-unitary systems ⋮ Representation theory and multilevel filters ⋮ Characterizations of rectangular (para)-unitary rational functions ⋮ On the preceding paper by R.\,B.\thinspace Leech ⋮ Realizations of infinite products, Ruelle operators and wavelet filters ⋮ Cauchy-Weil formula, Schur-Agler type classes, new Hardy spaces of the polydisk and interpolation problems

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