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.
L. Maniccia, E. Schrohe, J. Seiler (2006). Complex powers of classical SG-pseudodifferential operators. ANNALI DELL'UNIVERSITÀ DI FERRARA. SEZIONE 7: SCIENZE MATEMATICHE, 52, 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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