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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Maniccia, L., Schrohe, E. & Seiler, J. Complex powers of classical SG-pseudodifferential operators. Ann. Univ. Ferrara 52, 353–369 (2006). https://doi.org/10.1007/s11565-006-0026-1
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DOI: https://doi.org/10.1007/s11565-006-0026-1