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Complex powers of classical SG-pseudodifferential operators |
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| Authors: | Lidia Maniccia Elmar Schrohe Jörg Seiler |
| Institution: | 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 |
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