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Cone and edge calculus with discrete asymptotics

2009/11/19 by B.‐W. Schulze, B. -W. Schulze, Schulze, B. -W. +3
Computer Science · Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Holomorphic and Operator Theory #math.AP #math.OA #msc:35J40 #msc:47L80 #msc:58J40

paper · pdf · doi:10.48550/arxiv.0911.3813

arxiv created 2009/11/19 · arxiv updated 2009/12/08

Abstract

This investigation is devoted to the program to characterise continuous and variable discrete asymptotics of solutions to elliptic equations on a manifold with edge, continued in a cicle of forthcoming expositions [15], [16]. The structure of continuous and variable discrete (in general branch- ing) asymptotics is very complex. Therefore, in order to make things more transparent we present here the approach first in the special constant di- screte case, based on meromorphic Mellin symbols.

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