Edge-degenerate families of $Ψ$Do's on an infinite cylinder
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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.
Keywords. Edge-degenerate operators, parameter-dependent pseudo-differential operators, norm estimates with respect to a parameter
Keywords. Edge-degenerate operators, parameter-dependent pseudo-differential operators, norm estimates with respect to a parameter