Gerardo Ramos-Vazquez

activity

20202026

most citedHorizontal Fourier transform of the polyanalytic Fock kernel

3 citations · 9 across the 6 of their papers we have counts for

collaborators

6 papers

math.FA2026

Completeness of constructible norms

Juan Rafael Acosta-Portilla, Armando Sánchez-Nungaray, Gerardo Ramos-Vázquez +1

In the present work we study for a given Banach space the quotient of the family of equivalent norms modulus the collinearity relationship and prove that under a Banach-Mazur type…

math.FA2023★ 3 cited

Horizontal Fourier transform of the polyanalytic Fock kernel

Erick Lee-Guzmán, Egor A. Maximenko, Gerardo Ramos-Vazquez +1

Let $n, m \geq 1$ and $α > 0$ . We denote by $F_{α, m}$ the $m$ -analytic Bargmann--Segal--Fock space, i.e., the Hilbert space of all $m$ -analytic functions defined on $\mathbb{C…

math.OA2023★ 2 cited

C*-algebras generated by radial Toeplitz operators on polyanalytic weighted Bergman spaces

Roberto Moisés Barrera-Castelán, Egor A. Maximenko, Gerardo Ramos-Vazquez

In a previous paper (Radial operators on polyanalytic weighted Bergman spaces, Bol. Soc. Mat. Mex. 27, 43), using disk polynomials as an orthonormal basis in the $n$ -analytic weigh…

math.FA2021★ 3 cited

Translation-invariant operators in reproducing kernel Hilbert spaces

Crispin Herrera-Yañez, Egor A. Maximenko, Gerardo Ramos-Vazquez

Let $G$ be a locally compact abelian group with a Haar measure, and $Y$ be a measure space. Suppose that $H$ is a reproducing kernel Hilbert space of functions on $G \times Y$ , such…

math.CV2021

Homogeneously polyanalytic kernels on the unit ball and the Siegel domain

Christian Rene Leal-Pacheco, Egor A. Maximenko, Gerardo Ramos-Vazquez

We prove that the homogeneously polyanalytic functions of total order $m$ , defined by the system of equations $D^{(k_{1}, \dots, k_{n})} f = 0$ with $k_{1} + \dots + k_{n} = m$ , can be…

math.FA2020★ 1 cited

Radial operators on polyanalytic weighted Bergman spaces

Roberto Moisés Barrera-Castelán, Egor A. Maximenko, Gerardo Ramos-Vazquez

Let $μ_{α}$ be the Lebesgue plane measure on the unit disk with the radial weight $\frac{α + 1}{π} (1 - ∣ z ∣^{2})^{α}$ . Denote by $A_{n}^{2}$ the space of the $n$ -analytic functions on…