17 citations · 43 across the 17 of their papers we have counts for
4 papers · 1 filter
Sums of squares in real quadratic fields and Hilbert modular groups
Fernando Chamizo, Roberto J. Miatello
We use the spectral theory of Hilbert-Maass forms for real quadratic fields to obtain the asymptotics of some sums involving the number of representations as a sum of two squares i…
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…
Pointwise monotonicity of heat kernels
Diego Alonso-Orán, Fernando Chamizo, Ángel D. Martínez +1
In this paper the authors present a proof of a pointwise radial monotonicity property of heat kernels that is shared by the euclidean spaces, spheres and hyperbolic spaces. The mai…