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An Operator Theoretic Interpretation of the Generalized Titchmarsh-Weyl Coefficient for a Singular Sturm-Liouville Problem

Kurasov, Pavel LU and Luger, Annemarie LU (2011) In Mathematical Physics, Analysis and Geometry 14(2). p.115-151
Abstract
In this article an operator theoretic interpretation of the generalized Titchmarsh-Weyl coefficient for the Hydrogen atom differential expression is given. As a consequence we obtain a new expansion theorem in terms of singular generalized eigenfunctions.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Titchmarsh-Weyl coefficient, Singular differential operator, Generalized Nevanlinna function, Supersingular perturbation
in
Mathematical Physics, Analysis and Geometry
volume
14
issue
2
pages
115 - 151
publisher
Kluwer
external identifiers
  • wos:000290579900002
  • scopus:79956048614
ISSN
1385-0172
DOI
10.1007/s11040-011-9090-6
language
English
LU publication?
yes
id
6d2c460a-6736-442f-be01-61683cc8ac18 (old id 1986793)
date added to LUP
2011-06-29 10:18:12
date last changed
2017-08-13 04:10:15
@article{6d2c460a-6736-442f-be01-61683cc8ac18,
  abstract     = {In this article an operator theoretic interpretation of the generalized Titchmarsh-Weyl coefficient for the Hydrogen atom differential expression is given. As a consequence we obtain a new expansion theorem in terms of singular generalized eigenfunctions.},
  author       = {Kurasov, Pavel and Luger, Annemarie},
  issn         = {1385-0172},
  keyword      = {Titchmarsh-Weyl coefficient,Singular differential operator,Generalized Nevanlinna function,Supersingular perturbation},
  language     = {eng},
  number       = {2},
  pages        = {115--151},
  publisher    = {Kluwer},
  series       = {Mathematical Physics, Analysis and Geometry},
  title        = {An Operator Theoretic Interpretation of the Generalized Titchmarsh-Weyl Coefficient for a Singular Sturm-Liouville Problem},
  url          = {http://dx.doi.org/10.1007/s11040-011-9090-6},
  volume       = {14},
  year         = {2011},
}