An asymptotic mean value property for joint eigenfunctions of G-invariant differential operators

被引：0

作者：

Naik, Muna ^{[1
]}

Sarkar, Rudra P. ^{[2
]}

机构：

[1] Indian Inst Sci, CV Raman Rd, Bengaluru 560012, Karnataka, India

[2] Indian Stat Inst, Stat & Math Unit, Kolkata, W Bengal, India

来源：

MATHEMATISCHE NACHRICHTEN | 2025年 / 298卷 / 02期

关键词：

generalized mean value property; joint eigenfunction; symmetric space;

D O I：

10.1002/mana.202400009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X=G/K be a symmetric space of the noncompact type. In this paper, we characterize joint eigenfunctions of G-invariant differential operators on X through an asymptotic version of the generalized mean value property.

引用

页码：636 / 643

页数：8

共 4 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
LIU HePing
ZHU XiaoJie
ScienceChina(Mathematics), 2013, 56 (02) : 435 - 441
[3] Joint eigenfunctions of invariant differential operators on the quaternion Heisenberg group
HePing Liu
XiaoJie Zhu
Science China Mathematics, 2013, 56 : 435 - 441
[4] GENERALIZED MEAN VALUE PROPERTY IN THE LIMIT FOR EIGENFUNCTIONS OF THE LAPLACIAN ON Rn
Naik, Muna
COLLOQUIUM MATHEMATICUM, 2022, 169 (02) : 255 - 267

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