Brown, Brian Malcolm,
Hinchcliffe, James,
Marletta, Marco,
Naboko, Serguei,
Wood, Ian
(2009)
*
The Abstract TITCHMARSH-WEYL M-Function for adjoint operator pairs and its relation to the Spectrum.
*
Integral Equations and Operator Theory,
63
(3).
pp. 297-320.
ISSN 0378-620X.
(doi:10.1007/s00020-009-1668-z)
(The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)
(KAR id:23933)

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Official URL http://dx.doi.org/10.1007/s00020-009-1668-z |

## Abstract

In the setting of adjoint pairs of operators we consider the question: to what extent does the Weyl M-function see the same singularities as the resolvent of a certain restriction AB of the maximal operator? We obtain results showing that it is possible to describe explicitly certain spaces S and S such that the resolvent bordered by projections onto these subspaces is analytic everywhere that the M-function is analytic. We present three examples – one involving a Hain-Lüst type operator, one involving a perturbed Friedrichs operator and one involving a simple ordinary differential operators on a half line – which together indicate that the abstract results are probably best possible.

Item Type: | Article |
---|---|

DOI/Identification number: | 10.1007/s00020-009-1668-z |

Subjects: |
Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations |

Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |

Depositing User: | Ian Wood |

Date Deposited: | 09 Apr 2010 11:00 UTC |

Last Modified: | 16 Feb 2021 12:34 UTC |

Resource URI: | https://kar.kent.ac.uk/id/eprint/23933 (The current URI for this page, for reference purposes) |

Wood, Ian: | https://orcid.org/0000-0001-7181-7075 |

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