Asymptotics for Alexandrov's $n$-width of a compact set of analytic periodic functions

V. N. Belykh

Sobolev Institute of Mathematics, Novosibirsk, Russia

Abstract: We obtain asymptotics of Alexandrov's $n$-width of a compact set of analytic periodic functions, which is boundedly embedded in the space of continuous periodic functions.

Keywords: compact set, analytic function, topological dimension, Alexandrov's $n$-width.

UDC: 519.6+515.127

MSC: 35R30

Received: 21.05.2024
Revised: 10.02.2025
Accepted: 25.02.2025

DOI: 10.33048/smzh.2025.66.305

 English version: Siberian Mathematical Journal, 2025, 66:3, 650–655