Second-Order Sturm-Liouville Difference Equations and Orthogonal Polynomials PDF Download

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Second-Order Sturm-Liouville Difference Equations and Orthogonal Polynomials

Second-Order Sturm-Liouville Difference Equations and Orthogonal Polynomials PDF Author: Alouf Jirari
Publisher: American Mathematical Soc.
ISBN: 082180359X
Category : Mathematics
Languages : en
Pages : 154

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Book Description
This memoir presents machinery for analyzing many discrete physical situations, and should be of interest to physicists, engineers, and mathematicians. We develop a theory for regular and singular Sturm-Liouville boundary value problems for difference equations, generalizing many of the known results for differential equations. We discuss the self-adjointness of these problems as well as their abstract spectral resolution in the appropriate [italic capital]L2 setting, and give necessary and sufficient conditions for a second-order difference operator to be self-adjoint and have orthogonal polynomials as eigenfunctions.