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Second Order Sturm Liouville Difference Equations and Orthogonal Polynomials Book PDF Summary

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.

Detail Book of Second Order Sturm Liouville Difference Equations and Orthogonal Polynomials PDF

Second Order Sturm Liouville Difference Equations and Orthogonal Polynomials
  • Author : Alouf Jirari
  • Release : 21 September 1995
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821803592
  • Genre : Mathematics
  • Total Page : 154 pages
  • Language : English
  • PDF File Size : 21,9 Mb

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