Title	Self-adjoint boundary conditions for singular Sturm-Liouville problems and the computation of $m$-functions for Bessel, Legendre, and Laguerre operators.
Creator	Gesztesy, Fritz
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-10-08T13:33
Description	We extend the classical boundary values for (general, three-coefficient) regular Sturm-Liouville operators on compact intervals to the singular case as long as the associated minimal operator is bounded from below, utilizing principal and nonprincipal solutions of the underlying differential equation. We derive the singular Weyl-Titchmarsh-Kodaira $m$-function and illustrate the theory with the examples of the Bessel, Legendre, and Laguerre (resp., Kummer) operators. This is based on joint work with Lance Littlejohn and Roger Nichols.
Extent	32.0 minutes
Subject	Mathematics; Mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Baylor University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-04-06
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0389750
URI	http://hdl.handle.net/2429/73921
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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