Discrete Sturm–Liouville problems, Jacobi matrices and Lagrange interpolation series |
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| Authors: | A G García M A Hernndez-Medina |
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| Institution: | a Departamento de Matemáticas, Universidad Carlos III de Madrid, Avda. de la Universidad 30, Leganés 28911, Madrid, Spain;b Departamento de Matemática Aplicada, E.T.S.I.T., U.P.M., Avda. Complutense s/n, 28040, Madrid, Spain |
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| Abstract: | The close relationship between discrete Sturm–Liouville problems belonging to the so-called limit-circle case, the indeterminate Hamburger moment problem and the search of self-adjoint extensions of the associated semi-infinite Jacobi matrix is well known. In this paper, all these important topics are also related with associated sampling expansions involving analytic Lagrange-type interpolation series. |
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| Keywords: | Indeterminate moment problems Difference operators Lagrange interpolation series |
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