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.

引用

页码：327 / 348

页数：22

共 50 条

[1] SINGULAR CONVOLUTION-OPERATORS ON THE HEISENBERG-GROUP
GELLER, D
STEIN, EM
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 6 (01) : 99 - 103
[2] ASYMMETRY OF CONVOLUTION-OPERATORS ON THE HEISENBERG-GROUP
MANTERO, AM
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1985, 4A (01): : 19 - 27
[3] ESTIMATES FOR SINGULAR CONVOLUTION-OPERATORS ON THE HEISENBERG-GROUP
GELLER, D
STEIN, EM
MATHEMATISCHE ANNALEN, 1984, 267 (01) : 1 - 15
[4] GROUP CONVOLUTION-OPERATORS ON STANDARD CR-MANIFOLDS .1. STRUCTURAL-PROPERTIES
VASILEVSKI, NL
TRUJILLO, R
INTEGRAL EQUATIONS AND OPERATOR THEORY, 1994, 19 (01) : 65 - 104
[5] LOCAL BEHAVIOR OF 2-SIDED CONVOLUTION-OPERATORS WITH SINGULAR KERNELS ON THE HEISENBERG-GROUP
KISIL, VV
MATHEMATICAL NOTES, 1994, 56 (1-2) : 790 - 800
[6] THE C-ASTERISK-ALGEBRA GENERATED BY 2-SIDED CONVOLUTION-OPERATORS ON THE HEISENBERG-GROUP
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DOKLADY AKADEMII NAUK, 1993, 332 (01) : 8 - 11
[7] INTEGRAL CONVOLUTION-OPERATORS
PAVLOV, EA
MATHEMATICAL NOTES, 1985, 38 (1-2) : 554 - 556
[8] SOLVABILITY OF CONVOLUTION-OPERATORS
OKADA, Y
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1994, 30 (02) : 167 - 190
[9] THE RANGE OF CONVOLUTION-OPERATORS
BEKES, RA
PACIFIC JOURNAL OF MATHEMATICS, 1984, 110 (02) : 257 - 271
[10] ON THE SPECTRA OF FINITE CONVOLUTION-OPERATORS
SEUBERT, SM
HOUSTON JOURNAL OF MATHEMATICS, 1992, 18 (04): : 633 - 641

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