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On the trigonometric conjugate to the general Franklin system

Volume 193 / 2009

Gegham G. Gevorkyan, Anna Kamont Studia Mathematica 193 (2009), 203-239 MSC: 42C10, 42C15, 46E15. DOI: 10.4064/sm193-3-1

Abstract

We investigate when the trigonometric conjugate to the periodic general Franklin system is a basis in $C({\mathbb T})$. For this, we find some necessary and some sufficient conditions.

Authors

  • Gegham G. GevorkyanDepartment of Mathematics
    Yerevan State University
    Alex Manoukian St. 1
    375049 Yerevan, Armenia
    e-mail
  • Anna KamontInstitute of Mathematics
    Polish Academy of Sciences
    Abrahama 18
    81-825 Sopot, Poland
    e-mail

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