The use of the Kontorovich–Lebedev transform in an analysis of regularized Schrödinger equation

DOI10.1080/10652469.2011.648380zbMath1272.44002OpenAlexW2160977623MaRDI QIDQ4915297

Semyon B. Yakubovich, Nelson Vieira

Publication date: 10 April 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2011.648380

zbMATH Keywords

convergencemodified Bessel functionsSchrödinger equationheat kernelregularization procedureKontorovich-Lebedev transformWeierstrass's integral operators

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Linear operators and ill-posed problems, regularization (47A52) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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Cites Work

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• The heat kernel and Heisenberg inequalities related to the Kontorovich-Lebedev transform
• The Schrödinger equation on cylinders and the \(n\)-torus
• A class of polynomials and discrete transformations associated with the Kontorovich–Lebedev operators
• Regularization of the non-stationary Schrödinger operator
• A Characterization of the Inverse Laplace Transforms of Rational Positive-Real Matrices

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