Abstract
This is a translation of the paper “Статистические свойства собственных функций” which appeared in the Proceedings of the All-USSR School in Differential Equations with Infinite Number of Independent Variables and in Dynamical Systems with Infinitely Many Degrees of Freedom, Dilijan, Armenia, May 21–June 3, 1973; published by the Armenian Academy of Sciences, Yerevan, 1974. Translated from the Russian original by Semyon Dyatlov.
Résumé
Ceci est une traduction de l’article “Статистические свойства собственных функций” paru dans les Comptes-rendus de l’École tout-URSS sur les équations différentielles avec un nombre infini de variables indépendantes et sur les systèmes dynamiques avec un nombre infini de degrés de liberté, Dilijan, Arménie, 21 mai–3 juin 1973; publié par l’Académie des sciences d’Arménie, Yerevan, 1974. Traduit de l’original russe par Semyon Dyatlov.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
V.M. Babich and V.S. Buldyrev, Asymptotic methods in problems of short wave diffraction, Nauka, Moscow, 1972.
V.I. Arnold, On the characteristic class featured in quantization conditions, Funct. Anal. 1(1967), no. 1, 1–14.
Pseudodifferential operators, collection of papers, Mir, Moscow, 1967.
P.D. Lax and L. Nirenberg, On stability for difference schemes: A sharp form of Gårding’s inequality, Comm. Pure Appl. Math. 19(1966), 473–492.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Shnirelman, A. Statistical properties of eigenfunctions. Ann. Math. Québec 46, 3–9 (2022). https://doi.org/10.1007/s40316-021-00170-w
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40316-021-00170-w