@article{LyuSchulze2016,
  author    = {Lyu, Xiaojing and Schulze, Bert-Wolfgang},
  title     = {Mellin Operators in the Edge Calculus},
  series = {Complex analysis and operator theory},
  volume    = {10},
  journal   = {Complex analysis and operator theory},
  publisher = {Springer},
  address   = {Basel},
  issn      = {1661-8254},
  doi       = {10.1007/s11785-015-0511-6},
  pages     = {965 -- 1000},
  year      = {2016},
  abstract  = {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.},
  language  = {en}
}