An algebra of meromorphic corner symbols

DOI10.1016/S0007-4497(02)00007-6zbMath1029.58023MaRDI QIDQ1874136

Bert-Wolfgang Schulze, Lidia Maniccia

Publication date: 22 May 2003

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

edge calculuscorner symbols

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Degenerate elliptic equations (35J70) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items

Mellin Operators in Weighted Corner Spaces ⋮ Mellin operators in the edge calculus ⋮ Mellin Operators with Asymptotics on Manifolds with Corners ⋮ The Iterative Structure of the Corner Calculus ⋮ Asymptotic parametrices of elliptic edge operators ⋮ A new approach to the second order edge calculus ⋮ Calculus on spaces with higher singularities ⋮ Parameter-dependent edge operators ⋮ Mellin Quantisation in Corner Operators ⋮ Holomorphic operator families on a manifold with edge ⋮ Quantisation on a manifold with singular edge ⋮ Ellipticity on spaces with higher singularities ⋮ Operators with Corner-Degenerate Symbols

Cites Work

• Pseudo-differential operators, singularities, applications
• Functional analysis in cone and edge Sobolev spaces
• Euler solutions of pseudodifferential equations
• Cone pseudodifferential operators in the edge symbolic calculus
• Analytic index formulas for elliptic corner operators
• Operators with symbol hierarchies and iterated asymptotics.
• Multiplicative Decompositions of Holomorphic Fredholm Functions and ψ*-Algebras
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
• AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ
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