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 50 条

[41] ON THE ASYMPTOTIC MEAN VALUE PROPERTY FOR PLANAR p-HARMONIC FUNCTIONS
Arroyo, Angel
Llorente, Jose G.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (09) : 3859 - 3868
[42] A natural approach to the asymptotic mean value property for the p-Laplacian
Michinori Ishiwata
Rolando Magnanini
Hidemitsu Wadade
Calculus of Variations and Partial Differential Equations, 2017, 56
[43] A CRITERION OF UNCONDITIONAL BASIC PROPERTY OF SYSTEMS OF EIGENFUNCTIONS AND ASSOCIATED FUNCTIONS OF ORDINARY DIFFERENTIAL-OPERATORS
BUDAEV, VD
DOKLADY AKADEMII NAUK SSSR, 1990, 314 (01): : 25 - 28
[44] INTERMEDIATE VALUE PROPERTY FOR OPERATORS WITH APPLICATIONS TO INTEGRAL AND DIFFERENTIAL EQUATIONS
MULDOWNEY, JS
WILLETT, D
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1974, 26 (01): : 27 - 41
[45] Fatou's theorems and Hardy-type spaces for eigenfunctions of the invariant differential operators on symmetric spaces
Ben Saïd, S
Oshima, T
Shimeno, N
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2003, 2003 (16) : 915 - 931
[46] INVARIANT MEAN VALUE PROPERTY AND M-HARMONICITY ON THE HALF-SPACE
Choe, Boo Rim
Nam, Kyesook
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2021, 58 (03) : 559 - 572
[47] Variational approach to the asymptotic mean -value property for the p -Laplacian on Carnot groups
Adamowicz, Tomasz
Kijowski, Antoni
Pinamonti, Andrea
Warhurst, Ben
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 198
[48] NOTES ON THE MEAN-VALUE PROPERTY FOR CERTAIN DEGENERATE ELLIPTIC-OPERATORS
HORIUCHI, T
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1994, 46 (01) : 149 - 163
[49] L(Q)-ESTIMATES OF SPHERICAL-FUNCTIONS AND AN INVARIANT MEAN-VALUE PROPERTY
ARAZY, J
ZHANG, GK
INTEGRAL EQUATIONS AND OPERATOR THEORY, 1995, 23 (02) : 123 - 144
[50] Invariant mean-value property and M-harmonicity in the unit ball of Rn
Liu, CW
Shi, JH
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2003, 19 (01) : 187 - 200

← 1 2 3 4 5 →