Asymptotic expansions for singular differential operators with matricial coefficients

DOI10.1016/S0019-3577(08)80018-3zbMath1330.34092OpenAlexW2045372750MaRDI QIDQ2270524

N. H. Mahmoud, I. Yaïch

Publication date: 28 July 2009

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(08)80018-3

zbMATH Keywords

asymptotic expansionspectral functionscattering matrixBessel functionHarish-Chandra function

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Cites Work

• Transformation intégrale de Weyl et théorème de Paley-Wiener associes à un opérateur différentiel singulier sur \((0,\infty)\)
• Integral representation for eigenfunctions of singular differential operators with matrix-valued coefficients and applications
• Spectral functions of singular differential operators with matricial coefficients.
• 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
• Partial differential equations with matricial coefficients and generalized translation operators
• A Uniform Expansion for the Eigenfunction of a Singular Second-Order Differential Operator
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