Discontinuous Sturm-Liouville problems and associated sampling theories

DOI10.1155/2011/610232zbMath1229.94039OpenAlexW2061645027WikidataQ58654351 ScholiaQ58654351MaRDI QIDQ657145

Juan-Miguel Gracia

Publication date: 16 January 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/610232

Mathematics Subject Classification ID

Sampling theory in information and communication theory (94A20)

Related Items (13)

Unnamed Item ⋮ Sampling analysis in the complex reproducing kernel Hilbert space ⋮ Sampling theories of boundary value problems with several internal points of discontinuity ⋮ Numerical computation of eigenvalues of discontinuous Sturm-Liouville problems with parameter dependent boundary conditions using sinc method ⋮ Numerical algorithms for computing eigenvalues of discontinuous Dirac system using sinc-Gaussian method ⋮ Computation of eigenvalues of discontinuous Dirac system using Hermite interpolation technique ⋮ Computation of spectral parameter of discontinuous Dirac systems with a Gaussian multiplier ⋮ Approximation of eigenvalues of boundary value problems ⋮ Sampling theorems for Sturm-Liouville problem with moving discontinuity points ⋮ Sampling theory for Sturm-Liouville problem with boundary and transmission conditions containing an eigenparameter ⋮ Sampling of vector-valued transforms associated with solutions and Green's matrix of discontinuous Dirac systems ⋮ Approximation of eigenvalues of Sturm-Liouville problems by using Hermite interpolation ⋮ Computing eigenvalues of discontinuous Sturm-Liouville problems with eigenparameter in all boundary conditions using Hermite approximation

Cites Work

• On sampling and Dirac systems with eigenparameter in the boundary conditions
• On analytic sampling theory
• On Lagrange-type interpolation series and analytic Kramer kernels
• On the use of Green's function in sampling theory
• A note on the analytic form of the Kramer sampling theorem
• Sampling theorem associated with a Dirac operator and the Hartley transform
• Eigenvalues and eigenfunctions of discontinuous Sturm-Liouville problems with eigenparameter in the boundary conditions.
• Discontinuous Sturm-Liouville problems containing eigenparameter in the boundary conditions
• Riesz bases in \(L_2(-1,1)\)
• Discontinuous boundary-value problems: expansion and sampling theorems
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• On the representation of holomorphic functions by integrals
• Orthogonal Sampling Formulas: A Unified Approach
• A sampling theorem for transforms with discontinuous kernels
• On sampling theory associated with the resolvents of singular Sturm-Liouville problems
• A Generalized Sampling Theorem
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