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Functional Calculus on Noncommutative Tori, II. Complex Powers, Logarithms, and Sectorial Projections
This paper develops a systematic theory of complex powers, logarithms, and sectorial projections of elliptic pseudodifferential operators on noncommutative tori, extending to this setting the classical constructions of Seeley and others. Building on the parametric pseudodifferential calculus of the
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