CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

Uniqueness of Almost Everywhere Convergent Vilenkin Series

  Published:2004-09-01
 Printed: Sep 2004
  • W. R. Wade
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

D. J. Grubb [3] has shown that uniqueness holds, under a mild growth condition, for Vilenkin series which converge almost everywhere to zero. We show that, under even less restrictive growth conditions, one can replace the limit function 0 by an arbitrary $f\in L^q$, when $q>1$.
MSC Classifications: 43A75, 42C10 show english descriptions Analysis on specific compact groups
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
43A75 - Analysis on specific compact groups
42C10 - Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
 

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/