C*-algebras of singular integral operators in domains with oscillating conical singularities |
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Authors: | V Rabinovich B-W Schulze N Tarkhanov |
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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
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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 |
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Keywords: | |
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