The Mourre Theory for Analytically Fibered Operators

✍ Scribed by Christian Gérard; Francis Nier

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 399 KB
• Volume: 152
• Category: Article
• ISSN: 0022-1236
• DOI: 10.1006/jfan.1997.3154

✦ Synopsis

We develop in this paper the Mourre theory for an abstract class of fibered self-adjoint operators which we call analytically fibered operators. We construct a conjugate operator for which we prove that a Mourre estimate holds. Examples of analytically fibered operators are given and, finally, perturbations of such operators are considered.