TY  - JOUR
A1  - Lyu, Xiaojing
A1  - Schulze, Bert-Wolfgang
T1  - Mellin Operators in the Edge Calculus
JF  - Complex analysis and operator theory
N2  - A manifold M with smooth edge Y is locally near Y modelled on X-Delta x Omega for a cone X-Delta := ( (R) over bar (+) x X)/({0} x X) where Xis a smooth manifold and Omega subset of R-q an open set corresponding to a chart on Y. Compared with pseudo-differential algebras, based on other quantizations of edge-degenerate symbols, we extend the approach with Mellin representations on the r half-axis up to r = infinity, the conical exit of X-boolean AND = R+ x X (sic) (r, x) at infinity. The alternative description of the edge calculus is useful for pseudo-differential structures on manifolds with higher singularities.
KW  - Edge degenerate operators
KW  - Mellin and Green operators edge symbols
Y1  - 2016
U6  - https://doi.org/10.1007/s11785-015-0511-6
SN  - 1661-8254
SN  - 1661-8262
VL  - 10
SP  - 965
EP  - 1000
PB  - Springer
CY  - Basel
ER  -