Corner operators with symbol hierarchies
The authors develop a singular analysis that involves pseudo-differential operators on singular infinite straight cones. The operators themselves act on stratified spaces with geometric singularities of conical, edge, or higher corner type. Such singular spaces form categories \(\mathfrak{M}_k\), where \(k\) indicates the depth of the stratification. In particular, \(\mathfrak{M}_0\) consists of smooth-oriented manifolds. The case \(k = 1\) generally indicates conical or edge singularities. The paper presents an approach for studying operators on stratified spaces \(M\in \mathfrak{M}_k\) with regular singularities of higher-order \(k\).
Mellin symbols with values in the edge calculus
scientific article; zbMATH DE number 7384105
scientific article