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Explicit algebras with the Leibniz–Mellin translation product
Authors:Ingo Witt
Institution:Department of Mathematics, Imperial College London, 180 Queen's Gate, London SW7 2AZ, UKPhone: +44 (0)20 5895111, ext. 58608, Fax: +44 (0)20 75948517
Abstract:A sub‐calculus of the calculus (“algebra”) of all complete conormal symbols arising in the edge pseudodifferential calculus is constructed. This calculus of complete conormal symbols is suitable for constructing sub‐calculi of the general edge pseudodifferential calculus, for which the edge‐degenerate pseudodifferential operators involved map conormal asymptotics of distributions near the edges in a prescribed manner. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:Edge pseudodifferential calculus  algebra of complete conormal symbols  variable discrete asymptotics  branching of asymptotics
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