An Operator Algebra on Manifolds with Cusp-Type Singularities

被引:0
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作者
Bert-Wolfgang Schulze
Boris Sternin
Victor Shatalov
机构
[1] Potsdam University,MPAG "Analysis"
[2] Moscow State University,Department of Computational Mathematics and Cybernetics
来源
关键词
asymptotic expansions; Borel–Laplace transform; cusps; ellipticity; elliptic theory; endless continuability; finiteness theorem; Fredholm property; left ordered representation; local casp algebra; manifolds with singularities; noncommutative analysis; regularizer; resurgent analysis;
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中图分类号
学科分类号
摘要
Equations on manifolds with cusp-type singularities are investigated. The corresponding calculus of pseudodifferential operators is constructed and finiteness theorems (Fredholm property) are established. The resurgent character of solutions is proved for equations with infinitely flat right-hand side.
引用
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页码:101 / 140
页数:39
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