Sampling of Discontinuous Dirac Systems

DOI10.1080/01630563.2012.693565zbMath1276.34021OpenAlexW1965404774MaRDI QIDQ4912754

Ahmet Yildirim, Ali H. Bhrawy, Mohammed M. Tharwat

Publication date: 5 April 2013

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

Full work available at URL: https://doi.org/10.1080/01630563.2012.693565

zbMATH Keywords

sampling theorytransmission conditionDirac system

Mathematics Subject Classification ID

Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Sampling theory in information and communication theory (94A20) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (10)

Incomplete inverse spectral and nodal problems for Dirac operator ⋮ Unnamed Item ⋮ Sampling theories of boundary value problems with several internal points of discontinuity ⋮ On sampling theories and discontinuous Dirac systems with eigenparameter in the boundary conditions ⋮ Computation of spectral parameter of discontinuous Dirac systems with a Gaussian multiplier ⋮ Dirac system with discontinuities at two points ⋮ Approximation of eigenvalues of boundary value problems ⋮ Approximation of eigenvalues of discontinuous Sturm-Liouville problems with eigenparameter in all boundary conditions ⋮ Sampling of vector-valued transforms associated with solutions and Green's matrix of discontinuous Dirac systems ⋮ Computing eigenvalues of discontinuous Sturm-Liouville problems with eigenparameter in all boundary conditions using Hermite approximation

Cites Work

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• On analytic sampling theory
• On Lagrange-type interpolation series and analytic Kramer kernels
• A note on the analytic form of the Kramer sampling theorem
• Sampling theorem associated with a Dirac operator and the Hartley transform
• Sampling of vector-valued transforms associated with Green's matrix of Dirac systems
• Discontinuous boundary-value problems: expansion and sampling theorems
• 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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