summary:We investigate properties of permitted trigonometric thin sets and construct uncountable permitted sets under some set-theoretical assumptions
AbstractNecessary and sufficient conditions are given which ensure the completeness of the trigonome...
The native mathematical language of trigonometry is combinatorial. Two inter-related combinatorial s...
AbstractLower bounds for the error of quadrature formulas with positive weights are proved. We get i...
summary:We investigate properties of permitted trigonometric thin sets and construct uncountable per...
We present a survey of some recent results concerning thin sets of trigonometric series. We focus on...
30 pagesInternational audienceThe thin set theorem $\mathsf{RT}^n_{<\infty,\ell}$ asserts the existe...
The study of sets of uniqueness for trigonometric series has a long history, originating in the work...
In this note, new sharp bounds for trigonometric functions are proved. We provide alternative proofs...
In this paper we examine the reverse mathematical strength of a variation of Hindman's Theorem HT co...
AbstractWe show that several classes of sets, like N0-sets, Arbault sets, N-sets and pseudo-Dirichle...
In mathematics, we can describe sets as either finite or infinite. If a set is infinite, we can furt...
the set of all increasing ordered n-tuples of elements of A (or n-element subsets o
In this paper, we shall give a set R ∗ and indicate its properties, and thus, some abnormal results,...
Let T denote the group [0, 1) with addition modulo one, let Z denote the integers, and let E be a su...
AbstractA criterion that X carries only purely atomic doubling measures and a criterion that X does ...
AbstractNecessary and sufficient conditions are given which ensure the completeness of the trigonome...
The native mathematical language of trigonometry is combinatorial. Two inter-related combinatorial s...
AbstractLower bounds for the error of quadrature formulas with positive weights are proved. We get i...
summary:We investigate properties of permitted trigonometric thin sets and construct uncountable per...
We present a survey of some recent results concerning thin sets of trigonometric series. We focus on...
30 pagesInternational audienceThe thin set theorem $\mathsf{RT}^n_{<\infty,\ell}$ asserts the existe...
The study of sets of uniqueness for trigonometric series has a long history, originating in the work...
In this note, new sharp bounds for trigonometric functions are proved. We provide alternative proofs...
In this paper we examine the reverse mathematical strength of a variation of Hindman's Theorem HT co...
AbstractWe show that several classes of sets, like N0-sets, Arbault sets, N-sets and pseudo-Dirichle...
In mathematics, we can describe sets as either finite or infinite. If a set is infinite, we can furt...
the set of all increasing ordered n-tuples of elements of A (or n-element subsets o
In this paper, we shall give a set R ∗ and indicate its properties, and thus, some abnormal results,...
Let T denote the group [0, 1) with addition modulo one, let Z denote the integers, and let E be a su...
AbstractA criterion that X carries only purely atomic doubling measures and a criterion that X does ...
AbstractNecessary and sufficient conditions are given which ensure the completeness of the trigonome...
The native mathematical language of trigonometry is combinatorial. Two inter-related combinatorial s...
AbstractLower bounds for the error of quadrature formulas with positive weights are proved. We get i...