SIAM AG on Orthogonal Polynomials and Special Functions


Extract from OP-SF NET

Topic #7  ---------------  OP-SF NET  ---------------  February 9, 1995
From: Notices Amer. Math. Soc., January 1995
Subject: New Memoir on Spectral Theory and Orthogonal Polynomials

The following AMS Memoir appeared:

A. Jirari,
"Second-order Sturm-Liouville equations and orthogonal polynomials",
Memoirs AMS, Vol. 113, Number 542, 1995.

From the abstract:
The book develops a theory for regular and singular Sturm-Liouville
boundary problems for difference equations, generalizing many of the
known results for differential equations.
Discussing the self-adjointness of these problems as well as their
abstract spectral resolution in the appropriate $L^2$ setting.
the book gives necessary and sufficient conditions for a second-order
difference operator to be self-adjoint and have orthogonal polynomials
as eigenfunctions.

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