On the Kernel of some one-dimensional singular integral operators with shift

被引：0

作者：

Kravchenko, Viktor G. ^{[1
]}

Marreiros, Rui C. ^{[1
]}

机构：

[1] Univ Algarve, Fac Ciencias & Tecnol, Dept Matemat, P-8005139 Faro, Portugal

来源：

EXTENDED FIELD OF OPERATOR THEORY | 2007年 / 171卷

关键词：

singular integral operators; shift operators;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An estimate for the dimension of the kernel of the singular integral operator with shift (I+ Sigma(n)/j=1 aj(t)U-j) P+ +P- : L-2(R) -> L-2(R) is obtained, where P +/- are the Cauchy projectors, (U phi)(t) = phi(t + h), h epsilon R+, is the shift operator and a(j)(t) are continuous functions on the one point compactification of R. The roots of the polynomial 1 +Sigma(n)/j=1 a(j) (infinity)n(j) are assumed to belong all simultaneously either to the interior of the unit circle or to its exterior.

引用

页码：245 / +

页数：3