Vol. 80, No. 1, 1979

Recent Issues
Vol. 294: 1
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Vol. 289: 1  2
Vol. 288: 1  2
Vol. 287: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
Fourier series with bounded convolution powers

Charles Henry Heiberg

Vol. 80 (1979), No. 1, 159–167
Abstract

Let f be defined on Tn and have an absolutely convergent Fourier series

f(eiσ) = Σfmeim ⋅σ.

Set f= Σ|fm|. In this paper sufficient conditions for fk= 0(1), as k →∞, are obtained.

Mathematical Subject Classification 2000
Primary: 42B05
Secondary: 43A20
Milestones
Received: 2 August 1977
Revised: 30 March 1978
Published: 1 January 1979
Authors
Charles Henry Heiberg