Integral representation for eigenfunctions of singular differential operators with matrix-valued coefficients and applications

zbMath1169.34337MaRDI QIDQ1014176

I. Yaïch, N. H. Mahmoud

Publication date: 24 April 2009

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

integral representationspectral functionFourier-Bessel transformGelfand-Levitan equationVolterra equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Integral representations of solutions to PDEs (35C15) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Volterra integral equations (45D05)

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Asymptotic expansions for singular differential operators with matricial coefficients

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