Weyl transforms and convolution operators on the Heisenberg group

被引：0

作者：

Wong, M. W. ^{[1
]}

机构：

[1] York Univ, Dept Math & Stat, N York, ON M3J 1P3, Canada

来源：

Pseudo-Differential Operators and Related Topics | 2006年 / 164卷

关键词：

Heisenberg group; left-invariant vector fields; Hamiltonians; representations; group Fourier transforms; Weyl transforms; twisted convolutions; group convolutions; pseudo-differential operators;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Fourier transform on the Heisenberg group, the Fourier transform along the center of the Heisenberg group and the Euclidean Fourier transform are used to prove that Weyl transforms and convolution operators on the Heisenberg group are, respectively, classical Weyl transforms and pseudo-differential operators.

引用

页码：115 / 120

页数：6

共 16 条

[1] [Anonymous], 1971, ACT C INT MATH
[2] Boggiatto P, 2004, INTEGR EQUAT OPER TH, V49, P1, DOI 10.1007/s00020-002-1200-1
[3] DYNIN A, 1977, C I M E BRESSANONE, P5
[4] DYNIN AS, 1976, SOV MATH DOKL, V17, P508
[5] Folland G. B., 1989, HARMONIC ANAL PHASE
[6] FUNDAMENTAL SOLUTION FOR A SUBELLIPTIC OPERATOR
FOLLAND, GB
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 79 (02) : 373 - 376
[7] ESTIMATES FOR DELTA-BAR B COMPLEX AND ANALYSIS ON HEISENBERG GROUP
FOLLAND, GB
STEIN, EM
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1974, 27 (04) : 429 - 522
[8] AVOIDANCE VERSUS CONFRONTATION OF FEAR
GREIST, JH
MARKS, IM
BERLIN, F
GOURNAY, K
NOSHIRVANI, H
[J]. BEHAVIOR THERAPY, 1980, 11 (01) : 1 - 14
[9] Hormander L., 1985, ANAL LINEAR PARTIAL
[10] STEIN EM, 1993, HARMONIC ANAL REAL V

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