Complex powers of classical SG-pseudodifferential operators |
| |
Authors: | Lidia Maniccia Elmar Schrohe Jörg Seiler |
| |
Affiliation: | 1. Università di Bologna, Dipartimento di Matematica, Piazza di Porta S. Donato 5, 40127 Bologna, Italy, Tel.: +39-051-2094415, Fax: +39-051-2094490, 2. Universit?t Hannover, Institut für Analysis, Welfengarten 1, 30167 Hannover, Germany, Tel.: +49-511-7623515 Fax: +49-511-7623518, 3. Universit?t Hannover, Institut für Angewandte Mathematik, Welfengarten 1, 30167 Hannover, Germany, Tel.: +49-511-7622861 Fax: +49-511-7623988,
|
| |
Abstract: | Abstract Under a suitable ellipticity condition, we show that classical SG-pseudodifferential operators of nonnegative order possess
complex powers. We show that the powers are again classical and derive an explicit formula for all homogeneous components.
Keywords: Complex power, Weighted symbols, Noncompact manifolds |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|