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math.CA2012
Integrability of the Fourier transform: functions of bounded variation
E. Liflyand
Certain relations between the Fourier transform of a function of bounded variation and the Hilbert transform of its derivative are revealed. The widest subspaces of the space of fu…
math.CA2012
On Fourier re-expansions
E. Liflyand
We study an extension to Fourier transforms of the old problem on absolute convergence of the re-expansion in the sine (cosine) Fourier series of an absolutely convergent cosine (s…