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
ScienceChina(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] 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
[4] 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
[5] Local Solvability of Partial Differential Operators on the Heisenberg Group
Winfield, Christopher J.
JOURNAL OF GEOMETRIC ANALYSIS, 2001, 11 (02) : 343 - 362
[6] Local solvability of partial differential operators on the Heisenberg group
Christopher J. Winfield
The Journal of Geometric Analysis, 2001, 11 : 343 - 362
[7] Non-solvability for a class of left-invariant second-order differential operators on the Heisenberg group
Müller, D
Peloso, MM
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 355 (05) : 2047 - 2064
[8] Solvability of second-order left-invariant differential operators on the Heisenberg group satisfying a cone condition
Detlef Müller
Fulvio Ricci
Journal d’Analyse Mathématique, 2003, 89 : 169 - 197
[9] Poisson transform for the Heisenberg group and eigenfunctions of the sublaplacian
S. Thangavelu
Mathematische Annalen, 2006, 335 : 879 - 899
[10] Invariant Translators of the Heisenberg Group
Giuseppe Pipoli
The Journal of Geometric Analysis, 2021, 31 : 5219 - 5258

← 1 2 3 4 5 →