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

Volume 169 / 2022

Muna Naik Colloquium Mathematicum 169 (2022), 255-267 MSC: Primary 35J05; Secondary 42B37. DOI: 10.4064/cm8554-6-2021 Published online: 4 March 2022

Abstract

We characterize all eigenfunctions of the Laplacian on $\mathbb R^n$ through a generalized spherical mean value property as the radius of the sphere goes to infinity.

Authors

  • Muna NaikHarish-Chandra Research Institute
    A CI of Homi Bhabha National Institute
    Chhatnag Road, Jhunsi
    Prayagraj 211 019, India
    e-mail
    e-mail

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