4 citations · 15 across the 14 of their papers we have counts for
10 papers · 1 filter
Asymptotics of the Lebesgue constants for a -dimensional simplex
Yurii Kolomoitsev, Elijah Liflyand
In this paper an asymptotic formula is given for the Lebesgue constants generated by the anisotropically dilated -dimensional simplex. Contrary to many preceding results establi…
Wiener algebras and trigonometric series in a coordinated fashion
E. Liflyand, R. Trigub
Let be the Wiener Banach algebra of functions representable by the Fourier integrals of Lebesgue integrable functions. It is proven in the paper that, in particula…
Approximation of Hausdorff operators
Alberto Debernardi, Elijah Liflyand
Truncating the Fourier transform averaged by means of a generalized Hausdorff operator, we approximate the adjoint to that Hausdorff operator of the given function. We find the for…
Re-expansions on compact Lie groups
Rauan Akylzhanov, Elijah Liflyand, Michael Ruzhansky
In this paper we consider the re-expansion problems on compact Lie groups. First, we establish weighted versions of classical re-expansion results in the setting of multi-dimension…
On weighted conditions for the absolute convergence of Fourier integrals
Yu. Kolomoitsev, E. Liflyand
In this paper we obtain new sufficient conditions for representation of a function as an absolutely convergent Fourier integral. Unlike those known earlier, these conditions are gi…
On a Hardy-Littlewood theorem
Elijah Liflyand, Ulrich Stadtmueller
A known Hardy-Littlewood theorem asserts that if both the function and its conjugate are of bounded variation, then their Fourier series are absolutely convergent. It is proved in…