Trace Formulas for Some Operators Related To Quadrature Domains in Riemann Surfaces

被引:0
作者
Daoxing Xia
机构
[1] Vanderbilt University,Department of Mathematics
来源
Integral Equations and Operator Theory | 2003年 / 47卷
关键词
Primary:; 99Z99; Secondary:; 00A00; -structures; Large time behaviour; spectral projection; characteristic equation; Dunford calculus;
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摘要
This note studies the trace formula of a class of pure operators A with finite rank self-commutators satisfying the condition that there is a finite dimensional subspace containing the image of the self-commutator and invariant with respect to A*. Besides, in this class, the spectrum of the operator A is covered by the projection of a union of quadrature domains in some Riemann surfaces.
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页码:123 / 130
页数:7
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