On the Convergence of Fourier Series in the Space L1

P. V. Zaderei,B. A. Smal

On the Convergence of Fourier Series in the Space L1

2002

P. V. Zaderei
B. A. Smal

We establish necessary and sufficient conditions for the convergence in the mean of trigonometric series whose coefficients satisfy the Boas–Telyakovskii conditions.

Keywords:

Mathematical optimization
Mathematics
Mathematical analysis
Discrete Fourier series
Fourier inversion theorem
Trigonometric series
Normal convergence
Fourier series
Conjugate Fourier series
Trigonometric polynomial
Function series
Fourier analysis

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