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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
and
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
Springer
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
2016-04-01 14:52:07
date last changed
2022-01-28 02:58:50
@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}},
  keywords     = {{Titchmarsh-Weyl coefficient; Singular differential operator; Generalized Nevanlinna function; Supersingular perturbation}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{115--151}},
  publisher    = {{Springer}},
  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}},
  doi          = {{10.1007/s11040-011-9090-6}},
  volume       = {{14}},
  year         = {{2011}},
}