- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- BIRS Workshop Lecture Videos /
- Self-adjoint boundary conditions for singular Sturm-Liouville...
Open Collections
BIRS Workshop Lecture Videos
BIRS Workshop Lecture Videos
Self-adjoint boundary conditions for singular Sturm-Liouville problems and the computation of $m$-functions for Bessel, Legendre, and Laguerre operators. Gesztesy, Fritz
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.
Item Metadata
Title |
Self-adjoint boundary conditions for singular Sturm-Liouville problems and the computation of $m$-functions for Bessel, Legendre, and Laguerre operators.
|
Creator | |
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 | |
Type | |
File Format |
video/mp4
|
Language |
eng
|
Notes |
Author affiliation: Baylor University
|
Series | |
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 | |
Affiliation | |
Peer Review Status |
Unreviewed
|
Scholarly Level |
Faculty
|
Rights URI | |
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International