Generalized mean value property in the limit for eigenfunctions of the Laplacian on $\mathbb{R}^n$

DOI10.4064/cm8554-6-2021zbMath1505.35106OpenAlexW4214910995MaRDI QIDQ5090258

Muna Naik

Publication date: 18 July 2022

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm8554-6-2021

zbMATH Keywords

Bessel functionseigenfunction of the Laplaciangeneralized mean value property

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

• Introduction to harmonic analysis and generalized Gelfand pairs
• Functions satisfying the mean value property in the limit
• On a generalized asymptotic mean value property
• Mean value property in limit for eigenfunctions of the Laplace–Beltrami operator
• ON THE CONVERGENCE OF EIGENFUNCTION EXPANSIONS
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