8 citations · 19 across the 4 of their papers we have counts for
6 papers
Fourier series in BMO with number theoretical implications
Fernando Chamizo, Antonio Córdoba, Adrián Ubis
We introduce an elementary argument to bound the seminorm of Fourier series with gaps giving in particular a sufficient condition for them to be in this space. Using…
Invariant subspaces for Bishop operators and beyond
Fernando Chamizo, Eva A. Gallardo-Gutiérrez, Miguel Monsalve-López +1
Bishop operators acting on were proposed by E. Bishop in the fifties as possible operators which might entail counterexamples for the Invariant Subspace Problem. W…
Integral points on convex curves
Jean-Marc Deshouillers, Adrián Ubis
We estimate the maximal number of integral points which can be on a convex arc in the plane with given length, minimal radius of curvature and initial slope.
Effective equidistribution of translates of large submanifolds in semisimple homogeneous spaces
Adrián Ubis
Let and with a lattice in . Let be any "curved" submanifold of small codimension of a maximal horospherical subgroup of $…
Multifractal behavior of polynomial Fourier series
Fernando Chamizo, Adrián Ubis
We prove non-trivial upper and lower bounds for the "Spectrum of Singularities" of Fourier Series with polynomial frequencies. The Spectrum of Singularities of a function f gives t…
The horocycle flow at prime times
P. Sarnak, A. Ubis
We prove that the orbit of a non-periodic point at prime values of the horocycle flow in the modular surface is dense in a set of positive measure. For some special orbits we also…