Joint eigenfunctions of invariant differential operators on the quaternion Heisenberg group

被引：0

作者：

Liu HePing ^{[1
]}

Zhu XiaoJie ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2013年 / 56卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Dirac type operator; Heisenberg group; joint eigenfunction; quaternion; sublaplacian;

D O I：

10.1007/s11425-012-4510-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let L be the sublaplacian on the quaternion Heisenberg group N and T the Dirac type operator with respect to central variables of N. In this article, we characterize the a"i(c)-valued joint eigenfunctions of L and T having eigenvalues from the quaternionic Heisenberg fan.

引用

页码：435 / 441

页数：7

共 50 条

[1] Joint eigenfunctions of invariant differential operators on the quaternion Heisenberg group
LIU HePing
ZHU XiaoJie
Science China(Mathematics), 2013, 56 (02) : 435 - 441
[2] Joint eigenfunctions of invariant differential operators on the quaternion Heisenberg group
HePing Liu
XiaoJie Zhu
Science China Mathematics, 2013, 56 : 435 - 441
[3] Problems of the solvability of invariant differential operators on the Heisenberg group
Gorelli, P
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2000, 3A : 89 - 92
[4] LOCAL SOLVABILITY OF LEFT INVARIANT DIFFERENTIAL OPERATORS ON THE HEISENBERG GROUP
ROTHSCHILD, LP
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 74 (02) : 383 - 388
[5] A CLASS OF INVARIANT DIFFERENTIAL-OPERATORS ON THE HEISENBERG-GROUP
LOHOUE, N
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1983, 19 (02) : 397 - 451
[6] EIGENFUNCTIONS OF INVARIANT DIFFERENTIAL OPERATORS ON A SYMMETRIC SPACE
KASHIWARA, M
KOWATA, A
MINEMURA, K
OKAMOTO, K
OSHIMA, T
TANAKA, M
ANNALS OF MATHEMATICS, 1978, 107 (01) : 1 - 39
[7] Invariant differential operators on the Heisenberg group and Meixner-Pollaczek polynomials
Faraut, Jacques
Wakayama, Masato
ADVANCES IN PURE AND APPLIED MATHEMATICS, 2013, 4 (01) : 41 - 66
[8] On the solvability of homogeneous left-invariant differential operators on the Heisenberg group
Muller, D
Peloso, MM
Ricci, F
JOURNAL OF FUNCTIONAL ANALYSIS, 1997, 148 (02) : 368 - 383
[9] An asymptotic mean value property for joint eigenfunctions of G-invariant differential operators
Naik, Muna
Sarkar, Rudra P.
MATHEMATISCHE NACHRICHTEN, 2025, 298 (02) : 636 - 643
[10] ON　THE　LOCAL　SOLVABILITY　OF　DIFFERENTIAL　EQUATIONS　ASSOCIATED　TO　UNSOLVABLE　INHOMOGENEOUS　LEFT　INVARIANT　DIFFERENTIAL　OPERATORS　ON　THE　HEISENBERG　GROUP
崔尚斌
Acta Mathematica Scientia, 1994, (03) : 318 - 328

← 1 2 3 4 5 →