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Spectral properties at a threshold for two-channel Hamiltonians I. Abstract theory
Cardiff University. (School of Mathematics)
2001 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 256, no 1, 281-303 p.Article in journal (Refereed) Published
Abstract [en]

Spectral properties at thresholds are investigated for two-channel Hamiltonians in various, mostly fairly "singular" settings. In an abstract framework we deduce asymptotic expansions of the resolvent as the spectral parameter tends to a threshold. The results are based on given asymptotic expansions of the component Hamiltonians. Applications to scattering theory are given in a companion paper. (C) 2001 Academic Press.

Place, publisher, year, edition, pages
2001. Vol. 256, no 1, 281-303 p.
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Mathematics
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URN: urn:nbn:se:uu:diva-174121DOI: 10.1006/jmaa.2000.7325ISI: 000167833300018OAI: oai:DiVA.org:uu-174121DiVA: diva2:526500
Available from: 2012-05-13 Created: 2012-05-13 Last updated: 2017-12-07

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Melgaard, M

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