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Coordinate Invariance of the Cone Algebra with Asymptotics

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Part of the book series: Operator Theory: Advances and Applications ((APDE,volume 138))

Abstract

The cone algebra with discrete asymptotics on a manifold with conical singularities is shown to be invariant under natural coordinate changes, where the symbol structure (i.e., the Fuchsian interior symbol, conormal symbols of all orders) follows a corresponding transformation rule.

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Kapanadze, D., Schulze, BW., Witt, I. (2002). Coordinate Invariance of the Cone Algebra with Asymptotics. In: Albeverio, S., Demuth, M., Schrohe, E., Schulze, BW. (eds) Parabolicity, Volterra Calculus, and Conical Singularities. Operator Theory: Advances and Applications, vol 138. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8191-3_5

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  • DOI: https://doi.org/10.1007/978-3-0348-8191-3_5

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9469-2

  • Online ISBN: 978-3-0348-8191-3

  • eBook Packages: Springer Book Archive

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