Trigonometric approximation theory in compact totally disconnected groups

George Benke

Vol. 77 (1978), No. 1, 23–32

DOI: 10.2140/pjm.1978.77.23

Abstract

We study some aspects of the problem of approximating functions on a compact totally disconnected group by trigonometric polynomials. In the classical case, approximation is connected with smoothness properties. By appropriately defining smoothness, one obtains this connection in the totally disconnected case also, and there are analogues of the classical results.

Mathematical Subject Classification 2000

Primary: 41A65

Secondary: 41A17, 41A25, 42A10, 43A50

Milestones

Received: 29 July 1977

Revised: 16 November 1977

Published: 1 July 1978