SPECTRUM OF A kth-ORDER SLANT HANKEL OPERATOR

被引:0
|
作者
Arora, S. C. [1 ]
Bhola, Jyoti [2 ]
机构
[1] Univ Delhi, Dept Math, Delhi 110007, India
[2] Univ Delhi, HANS RAJ Coll, Dept Math, Delhi 110007, India
关键词
Slant Hankel operator; spectrum; essential spectrum;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For an integer k >= 2, a kth-order slant Hankel operator D-phi with symbol phi in L-infinity is an operator on L-2 whose representing matrix is (a(-ki-j))(i,j=-infinity) (infinity) where at's are the Fourier coefficients of phi. In this paper, we discuss some spectral properties of the operator D-phi and identify its spectrum and essential spectrum.
引用
收藏
页码:175 / 183
页数:9
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