The Inverse Resonance Problem for Hermite Operators

Brown, Brian Malcolm ORCID: https://orcid.org/0000-0002-2871-6591, Naboko, Serguei and Weikard, Rudi 2009. The Inverse Resonance Problem for Hermite Operators. Constructive Approximation 30 (2) , pp. 155-174. 10.1007/s00365-008-9037-8

Full text not available from this repository.

Abstract

In this paper the inverse resonance problem for the Hermite operator is investigated. The Hermite operator H=\mathfraka+\mathfraka*+bUnknown control sequence '\mathfrak' with the creation operator \mathfrakaUnknown control sequence '\mathfrak' , the annihilation operator \mathfraka*Unknown control sequence '\mathfrak' , and a finitely supported multiplication operator b, is an unbounded operator on ℓ 2(ℕ0) having finitely many eigenvalues and infinitely many resonances (except for b=0, when there are no eigenvalues or resonances). It is shown that knowing the location of eigenvalues and resonances determines the potential b uniquely.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Computer Science & Informatics
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Uncontrolled Keywords:	Inverse problems - Eigenvalues and resonances - Hermite operator - Perturbation determinant
Publisher:	Springer
ISSN:	0176-4276
Last Modified:	18 Oct 2022 13:18
URI:	https://orca.cardiff.ac.uk/id/eprint/13393

Citation Data

Cited 4 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item