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Convergence of Fourier-Walsh Double Series in Weighted \(L_{\mu }^{p}[0,1)^{2}\)

  • Martin G. GrigoryanEmail author
  • Tigran M. Grigoryan
  • L. S. Simonyan
Conference paper
First Online:
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 275)

Abstract

In this work we discuss the behavior of Fourier coefficients with respect to the Walsh double system, as well as \(L_{\mu }^{p}[0,1)^{2}\)-convergence of the spherical partial sums of the double Fourier-Walsh series after modification of functions.

Keywords

Fourier series Fourier-Walsh double series Lebesgue spaces 
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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Martin G. Grigoryan
    • 1
    Email author
  • Tigran M. Grigoryan
    • 1
  • L. S. Simonyan
    • 1
  1. 1.Yerevan State UniversityYerevanArmenia

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