|
|||||
|
|
C*-algebras of singular integral operators in domains with oscillating conical singularities |
|
| Authors: | V Rabinovich B-W Schulze N Tarkhanov |
| Institution: | Departamento de Telecomunicaciones, ESIME del I.P.N., Unidad Zacatenco, Av. I.P.N., s/n Ed. 1, 07738 México, D.F., México. e-mail: rabinov@maya.esimez.ipn.mx, MX Universit?t Potsdam, Institut für Mathematik, Postfach 60 15 53, 14415 Potsdam, Germany. e-mail: schulze@math.uni-potsdam.de, DE Institute of Physics, Russian Academy of Sciences, Akademgorodok, 660036 Krasnoyarsk, Russia. e-mail: tarkhanov@math.uni-potsdam.de, RU |
| Abstract: | For a domain with singular points on the boundary, we consider a C * -algebra of operators acting in the weighted space . It is generated by the operators of multiplication by continuous functions on and the operators where σ is a homogeneous function. We show that the techniques of limit operators apply to define a symbol algebra for . When combined with the local principle, this leads to describing the Fredholm operators in . Received: 21 December 2000 |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |