Second-Order Sturm-Liouville Difference Equations and Orthogonal Polynomials

Released on by Alouf Jirari
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  • Second-Order Sturm-Liouville Difference Equations and Orthogonal Polynomials Book Detail

  • Author : Alouf Jirari
  • Release Date : 1995
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 154
  • ISBN 13 : 082180359X
  • File Size : 8,8 MB
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Second-Order Sturm-Liouville Difference Equations and Orthogonal Polynomials by Alouf Jirari PDF Summary

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.

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Sturm-Liouville Theory

Sturm-Liouville Theory

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This is a collection of survey articles based on lectures presented at a colloquium and workshop in Geneva in 2003 to commemorate the 200th anniversary of the b