Unconditional convergence of wavelet expansion on the Cantor dyadic group

• Yuri Farkov ^[1] ; Ushangi Goginava ^[2] ; Tengiz Kopaliani ^[2]
  1. [1] Russian State Geological prospecting University

     Russian State Geological prospecting University

     Rusia

     
  2. [2] Tbilisi State University

     Tbilisi State University

     Georgia

     
• Localización: Jaen journal on approximation, ISSN 1889-3066, ISSN-e 1989-7251, Vol. 3, Nº. 1, 2011, págs. 117-133
• Idioma: inglés
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• Resumen

  • In this paper we prove that wavelet expansions on the Cantor dyadic group G converge unconditionally in the dyadic Hardy space H1 (G). We will do it for wavelets satisfying the regularity condition of H¨older-Lipshitz type.