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An Operator Algebra on Manifolds with Cusp-Type Singularities

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Abstract

Equations on manifolds with cusp-type singularities are investigated. The corresponding calculus of pseudodifferential operators is constructed and finiteness theorems (Fredholm property) are established. The resurgent character of solutions is proved for equations with infinitely flat right-hand side.

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Schulze, BW., Sternin, B. & Shatalov, V. An Operator Algebra on Manifolds with Cusp-Type Singularities. Annals of Global Analysis and Geometry 16, 101–140 (1998). https://doi.org/10.1023/A:1006565731471

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