A. Sánchez-Nungaray

activity

20122026

most citedHorizontal Fourier transform of the polyanalytic Fock kernel

3 citations · 3 across the 8 of their papers we have counts for

collaborators

9 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.FA2024

Toeplitz operators and group-moment coordinates for quasi-elliptic and quasi-hyperbolic symbols

Raul Quiroga-Barranco, Armando Sanchez-Nungaray

For $B^{n}$ the $n$ -dimensional unit ball and $D_{n}$ its Siegel unbounded realization, we consider Toeplitz operators acting on weighted Bergman spaces with symbols invariant…

math.FA2024

Toeplitz operators with symmetric, alternating and anti-symmetric separately radial symbols on the unit ball

Armando Sánchez-Nungaray, José Rosales-Ortega, Carlos González-Flores

We consider symmetric separately radial (with corresponding group $S_{n} ⋊ T^{n}$ ) and alternating separately radial (with corresponding group $A_{n} ⋊ T^{n}$ )…

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.CV2020

Moment maps of Abelian groups and commuting Toeplitz operators acting on the unit ball

Raul Quiroga-Barranco, Armando Sanchez-Nungaray

We prove that to every connected Abelian subgroup $H$ of the biholomorphisms of the unit ball $B^{n}$ we can associate a set of bounded symbols whose corresponding Toeplitz…

math.FA2016

Separately Radial and Radial Toeplitz Operators on the Projective Space and Representation Theory

R. Quiroga-Barranco, A. Sanchez-Nungaray

We consider separately radial (with corresponding group $T^{n}$ ) and radial (with corresponding group $U (n))$ symbols on the projective space $\mathbb{P}^n(\mathbb{…

math.OA2015

Commutative $C^{*}$ -algebras generated by Toeplitz operators on the super unit ball

R. Quiroga-Barranco, A. Sánchez-Nungaray

We extend known results about commutative $C^{*}$ -algebras generated Toeplitz operators over the unit ball to the supermanifold setup. This is obtained by constructing commutative $C…

math.FA2014

Toeplitz Operators with Quasi-Homogeneuos Quasi-Radial Symbols on some Weakly Pseudoconvex Domains

Raul Quiroga-Barranco, Armando Sanchez-Nungaray

On the weakly pseudo-convex domains $Ω_{p}^{n}$ we introduce quasi-homogeneous quasi-radial symbols. These are used to prove the existence of a commutative Banach algebra of Toeplitz o…

math.OA2012

Toeplitz operators with quasi-radial quasi-homogeneous symbols and bundles of Lagrangian frames

Raul Quiroga-Barranco, Armando Sanchez-Nungaray

We prove that the quasi-homogenous symbols on the projective space $P^{n} (C)$ yield commutative algebras of Toeplitz operators on all weighted Bergman spaces, thus…

Completeness of constructible norms

Toeplitz operators and group-moment coordinates for quasi-elliptic and quasi-hyperbolic symbols

Toeplitz operators with symmetric, alternating and anti-symmetric separately radial symbols on the unit ball

Horizontal Fourier transform of the polyanalytic Fock kernel

Moment maps of Abelian groups and commuting Toeplitz operators acting on the unit ball

Separately Radial and Radial Toeplitz Operators on the Projective Space and Representation Theory

Commutative C∗-algebras generated by Toeplitz operators on the super unit ball

Toeplitz Operators with Quasi-Homogeneuos Quasi-Radial Symbols on some Weakly Pseudoconvex Domains

Toeplitz operators with quasi-radial quasi-homogeneous symbols and bundles of Lagrangian frames

Commutative $C^{*}$ -algebras generated by Toeplitz operators on the super unit ball