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arxiv: 0901.1967 · v2 · submitted 2009-01-14 · 🧮 math.AP

Edge-degenerate families of PsiDo's on an infinite cylinder

classification 🧮 math.AP
keywords cylinderedge-degenerateinfiniteamplitudecalculusconicalestablishexits
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We establish a parameter-dependent pseudo-differential calculus on an infinite cylinder, regarded as a manifold with conical exits to infinity. The parameters are involved in edge-degenerate form, and we formulate the operators in terms of operator-valued amplitude functions.

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