Mellin and Green operators of the corner calculus

作者：Schulze B W; Wong M W^*

来源：Journal of Pseudo-Differential Operators and Applications, 2011, 2(4): 467-507.

DOI：10.1007/s11868-011-0036-3

• Edge and corner pseudo-differential operators
• Discrete and continuous asymptotics
• Mellin operators with parameter-dependent meromorphic symbols

We study spaces of parameter-dependent Mellin plus Green operators occurring as operator-valued symbols of the pseudo-differential calculus on a manifold with corners. Here we mainly focus on holomorphic families in the complex Mellin covariable belonging to the corner axis variable t is an element of R+, while we impose the full asymptotic information with respect to the subordinate cone axis variable r is an element of R+, here in terms of continuous asymptotics.

• 出版日期2011-12