Spectral Properties at a Threshold for Two-Channel Hamiltonians I. Abstract Theory

✍ Scribed by Michael Melgaard

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 151 KB
• Volume: 256
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2000.7325

✦ Synopsis

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.