The Zero-Removing Property and Lagrange-Type Interpolation Series

DOI10.1080/01630563.2011.587076zbMath1236.46024OpenAlexW2148356447MaRDI QIDQ3173509

Antonio G. García, P. E. Fernàndez-Moncada, Miguel Ángel Hernández-Medina

Publication date: 10 October 2011

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: http://oa.upm.es/11506/

zbMATH Keywords

Lagrange interpolation seriesanalytic Kramer kernelzero-removing propertyKramer sampling theorem

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Sampling theory in information and communication theory (94A20)

Related Items (3)

Hypercyclicity of translation operators in a reproducing kernel Hilbert space of entire functions induced by an analytic Hilbert-space-valued kernel ⋮ The Kramer sampling theorem revisited ⋮ The zero-removing property in Hilbert spaces of entire functions arising in sampling theory

Cites Work

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• On analytic sampling theory
• General sampling theorems for functions in reproducing kernel Hilbert spaces
• On Lagrange-type interpolation series and analytic Kramer kernels
• A note on the analytic form of the Kramer sampling theorem
• Sampling expansions associated with Kamke problems
• Discrete Sturm-Liouville problems, Jacobi matrices and Lagrange interpolation series.
• Sampling Expansions in Reproducing Kernel Hilbert and Banach Spaces
• The Riemann hypothesis for Hilbert spaces of entire functions
• Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces
• The discrete Kramer sampling theorem and indeterminate moment problems

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