Projects per year
Abstract
This work deals with the functional model for a class of extensions of symmetric operators and its applications to the theory of wave scattering. In terms of Boris Pavlov’s spectral form of this model, we find explicit formulae for the action of the unitary group of exponentials corresponding to almost solvable extensions of a given closed symmetric operator with equal deficiency indices. On the basis of these formulae, we are able to construct wave operators and derive a new representation for the scattering matrix for pairs of such extensions in both self-adjoint and non-self-adjoint situations.
Original language | English |
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Title of host publication | Operator Theory |
Subtitle of host publication | Advances and Applications |
Editors | P. Kurasov, A. Laptev , S. Naboko, B. Simon |
Place of Publication | Cham, Switzerland |
Publisher | Springer |
Pages | 194-230 |
Number of pages | 37 |
ISBN (Electronic) | 9783030315313 |
ISBN (Print) | 9783030315306 |
DOIs | |
Publication status | E-pub ahead of print - 15 Jul 2020 |
Publication series
Name | Operator Theory: Advances and Applications |
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Volume | 276 |
ISSN (Print) | 0255-0156 |
ISSN (Electronic) | 2296-4878 |
Keywords
- Boundary triples
- Extensions of symmetric operators
- Functional model
- Scattering theory
ASJC Scopus subject areas
- Analysis
Fingerprint
Dive into the research topics of 'Scattering theory for a class of non-selfadjoint extensions of symmetric operators'. Together they form a unique fingerprint.Projects
- 2 Finished
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Newton Mobility Grant -: Homogenisation of Degenerate Equations and Scattering for New Materials
Cherednichenko, K. (PI)
1/02/17 → 31/01/19
Project: Research council
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Mathematical Foundations of Metamaterials: Homogenisation, Dissipation and Operator Theory
Cherednichenko, K. (PI)
Engineering and Physical Sciences Research Council
23/07/14 → 22/06/19
Project: Research council