Partial differential equations with matricial coefficients and generalized translation operators

DOI10.1090/S0002-9947-00-02451-XzbMath0945.35005MaRDI QIDQ4485709

N. H. Mahmoud

Publication date: 18 June 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

spectral decompositioneigenfunction expansion

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Other special methods applied to PDEs (35A25)

Related Items (3)

Spectral functions of singular differential operators with matricial coefficients. ⋮ Heat equations associated with matrix singular differential operators and spectral theory ⋮ Asymptotic expansions for singular differential operators with matricial coefficients

Cites Work

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• The Riemann solution in the one-dimensional inverse problem
• On a singular boundary value problem for an equation of hyperbolic type
• Expansion in series of Bessel functions and transmutations for perturbed Bessel operators
• Connection Between the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>-Matrix and the Tensor Force
• Opérateurs de Delsarte et problèmes mixtes
• Partial differential matrix equations for the inverse problem of scattering theory
• A Uniform Expansion for the Eigenfunction of a Singular Second-Order Differential Operator
• Positive product formulas and hypergroups associated with singular Sturm-Liouville problems on a compact interval

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