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A trace formula for differential operators of arbitrary order
Uppsala universitet, Teknisk-naturvetenskapliga vetenskapsområdet, Matematisk-datavetenskapliga sektionen, Matematiska institutionen.
2012 (engelsk)Inngår i: A Panorama of Modern Operator Theory and Related Topics: The Israel Gohberg Memorial Volume / [ed] Harry Dym, Marinus A. Kaashoek, Peter Lancaster, Heinz Langer & Leonid Lerer, Basel: Birkhäuser Verlag, 2012, Vol. 218, s. 541-570Kapittel i bok, del av antologi (Fagfellevurdert)
Abstract [en]

An operator H = H0 +V where H0 = i (N is arbitrary) and V is a differential operator of order N-1 with coefficients decaying sufficiently rapidly at infinity is considered in the space H2(R). The goal of the paper is to find an expression for the trace of the difference of the resolvents (H) -1 and (H0 - z) -1 in terms of the Wronskian of appropriate solutions to the differential equation Hu = zu. This also leads to a representation for the perturbation determinant of the pair H0H.

sted, utgiver, år, opplag, sider
Basel: Birkhäuser Verlag, 2012. Vol. 218, s. 541-570
Serie
Operator Theory: Advances and Applications, ISSN 0255-0156, E-ISSN 2296-4878 ; 218
Emneord [en]
One-dimensional differential operators, arbitrary order, resolvents, perturbation determinant, trace formula
HSV kategori
Identifikatorer
URN: urn:nbn:se:uu:diva-293567DOI: 10.1007/978-3-0348-0221-5_24ISBN: 978-3-0348-0220-8 (tryckt)ISBN: 978-3-0348-0789-0 (tryckt)ISBN: 978-3-0348-0221-5 (digital)OAI: oai:DiVA.org:uu-293567DiVA, id: diva2:927990
Tilgjengelig fra: 2016-05-13 Laget: 2016-05-13 Sist oppdatert: 2022-10-04bibliografisk kontrollert

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