7 citations · 9 across the 6 of their papers we have counts for
7 papers
On the smallest numerical semigroups closed under affine maps
Amelia Álvarez, Carlos-Jesús Moreno-Ávila, Ignacio Ojeda
We study numerical semigroups generated by the orbit of under the affine map , where , , , and . This ex…
Infinitesimal Center Problem on zero cycles and the composition conjecture
A. Álvarez, J. L. Bravo, C. Christopher +1
We study the analogue of the classical infinitesimal center problem in the plane, but for zero cycles. We define the displacement function in this context and prove that it is iden…
On the trigonometric moment problem
Amelia Álvarez, José Luis Bravo, Colin Christopher
The trigonometric moment problem arises from the study of one-parameter families of centers in polynomial vector fields. It asks for the classification of the trigonometric polynom…
Vanishing Abelian integrals on zero-dimensional cycles
Amelia Álvarez Sánchez, José Luis Bravo Trinidad, Pavao Mardesić
In this paper we study conditions for the vanishing of Abelian integrals on families of zero-dimensional cycles. That is, for any rational function , characterize all rationa…
A Characterization of Linearly Semisimple Groups
Amelia Álvarez, Carlos Sancho, Pedro Sancho
Let be an affine -group scheme and . Let $< -,-> : A^* \times \tilde{A} \to K, (w,\tilde{w}) := tr(…
Invariant integral on classical groups and algebraic harmonic analysis
Amelia Alvarez, Carlos Sancho, Pedro Sancho
Let be a linearly reductive group and let be the invariant integral on . We establish the harmonic analysis on and we compute when $G=Sl_…