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.
Complex powers of classical SG-pseudodifferential operators / L. Maniccia; E. Schrohe; J. Seiler. - In: ANNALI DELL'UNIVERSITÀ DI FERRARA. SEZIONE 7: SCIENZE MATEMATICHE. - ISSN 0430-3202. - STAMPA. - 52:(2006), pp. 353-369. [10.1007/s11565-006-0026-1]
Complex powers of classical SG-pseudodifferential operators
MANICCIA, LIDIA;
2006
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.File in questo prodotto:
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