8 citations · 31 across the 18 of their papers we have counts for
19 papers
The Sobolev space : Simultaneous improvement of functions by a homeomorphism of the circle
Vladimir Lebedev
It is known that for every continuous real-valued function on the circle there exists a change of variable, i.e., a self-homeomorphism of…
On extension to Fourier transforms
Vladimir Lebedev
For -point sets in an LCA group we obtain an estimate for the norm of "the best" extension operator from the space of bounded functions on to the space…
Uniformly convergent Fourier series and multiplication of functions
V. V. Lebedev
Let be the space of all continuous functions on the circle whose Fourier series converges uniformly. Salem's well-known example shows that a product of t…
Tame semicascades and cascades generated by affine self-mappings of the -torus
Vladimir Lebedev
We give a complete characterization of the affine self-mappings of the torus that generate Köhler-tame semicascades and cascades. Namely, we show that the semicas…
Sets with distinct sums of pairs, long arithmetic progressions, and continuous mappings
Vladimir Lebedev
We show that if is a continuous mapping and the set of nonlinearity of has nonzero Lebesgue measure, then maps bijectively a certain…
Homeomorphic Changes of Variable and Fourier Multipliers
Vladimir Lebedev, Alexander Olevskii
We consider the algebras of Fourier multipliers and show that every bounded continuous function on can be transformed by an appropriate homeomorphic change…