CONVOLUTION-OPERATORS ON STANDARD CR-MANIFOLDS .2. ALGEBRAS OF CONVOLUTION-OPERATORS ON THE HEISENBERG-GROUP

被引：6
|
作者：
VASILEVSKI, NL
机构：
[1] ODESSA II MECHNIKOV STATE UNIV,DEPT MATH,ODESSA,UKRAINE
[2] IPN,CINVESTAV,DEPT MATEMAT,MEXICO CITY,MEXICO
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 1994年 / 19卷 / 03期
关键词：
AMS Classification: 47B; 32A;
D O I：
10.1007/BF01203669
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Various algebras generated by one-sided and two-sided convolution operators with homogeneous kernels and on the Heisenberg group are considered. Isomorphic description of these algebras are given. Their spectra and all irreducible representations are described. As an application an algebra generated by Toeplitz operators on the Heisenberg group is studied.
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页码：327 / 348
页数：22
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