Article
Some examples of matrix-valued orthogonal functions having a differential and an integral operator as eigenfunctions
Author/s | Domínguez de la Iglesia, Manuel |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2011-05 |
Deposit Date | 2016-06-16 |
Published in |
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Abstract | The aim of this paper is to show some examples of matrix-valued orthogonal functions on the real line which are simultaneously eigenfunctions of a second-order differential operator of Schrödinger type and an integral ... The aim of this paper is to show some examples of matrix-valued orthogonal functions on the real line which are simultaneously eigenfunctions of a second-order differential operator of Schrödinger type and an integral operator of Fourier type. As a consequence we derive integral equations of these functions as well as other useful structural formulas. Some of these functions are plotted to show the relationship with the Hermite or wave functions. |
Funding agencies | Dirección General de Enseñanza Superior. España Junta de Andalucía |
Project ID. | MTM2009-12740-C03-02
FQM-229 FQM-481 P06-FQM-01738 2008-0207 |
Citation | Domínguez de la Iglesia, M. (2011). Some examples of matrix-valued orthogonal functions having a differential and an integral operator as eigenfunctions. Journal of Approximation Theory, 163 (5), 663-687. |
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