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Spectral properties at a threshold for two-channel Hamiltonians I. Abstract theory

journal contribution
posted on 2023-06-08, 15:51 authored by Michael MelgaardMichael Melgaard
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.

History

Publication status

  • Published

Journal

Journal of Mathematical Analysis and Applications

ISSN

0022-247X

Publisher

Elsevier

Issue

1

Volume

256

Page range

281-303

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2013-09-19

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