A note on the analytic form of the Kramer sampling theorem

DOI10.1007/BF03322057zbMath0917.30024MaRDI QIDQ1281430

G. Nasri-Roudsari, W. Norrie Everitt, Joachim Rehberg

Publication date: 5 August 1999

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

interpolationsamplingdifferential operators

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Entire functions of one complex variable (general theory) (30D20) Interpolation in approximation theory (41A05)

Related Items (15)

The Zero-Removing Property and Lagrange-Type Interpolation Series ⋮ Sampling in Paley-Wiener spaces associated with fractional integro-differential operators ⋮ On analytic sampling theory ⋮ \(q\)-type sampling theorems ⋮ Discontinuous Sturm-Liouville problems and associated sampling theories ⋮ Bounded rank-one perturbations in sampling theory ⋮ Sampling theorems for Sturm-Liouville problem with moving discontinuity points ⋮ Sampling theory for Sturm-Liouville problem with boundary and transmission conditions containing an eigenparameter ⋮ Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces ⋮ Sampling of Discontinuous Dirac Systems ⋮ On sampling and Dirac systems with eigenparameter in the boundary conditions ⋮ Sampling of vector-valued transforms associated with solutions and Green's matrix of discontinuous Dirac systems ⋮ Functions 𝑞-orthogonal with respect to their own zeros ⋮ Kramer analytic kernels and first-order boundary value problems ⋮ SAMPLING AND ODD ORDER PROBLEMS

Cites Work

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• The sampling theorem and linear prediction in signal analysis
• Sampling theorems associated with fourth- and higher-order self-adjoint eigenvalue problems
• On the representation of holomorphic functions by integrals
• A Comparison of the Sampling Theorems of Kramer and Whittaker
• A Generalized Sampling Theorem
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION

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