J. P. Velasquez-Rodriguez

activity

20192026

most citedOn some spectral properties of pseudo-differential operators on T

3 citations · 4 across the 7 of their papers we have counts for

collaborators

9 papers

math.RT2026

$L^{r}$ -Multipliers on compact $p$ -adic Lie groups

J. P. Velasquez-Rodriguez

Let $p$ be a prime number, and let $G$ be a compact $p$ -adic Lie group. This work provides multiplier theorems for invariant operators on $G$ acting on $L^r_α(\ma…

math.RT2024

Unitary dual and matrix coefficients of compact nilpotent p-adic Lie groups with dimension $d \leq 5$

J. P. Velasquez-Rodriguez

Let p> 2 be a prime number, and let G be a compact nilpotent p-adic Lie group with nilpotency class N<p. In this note we calculate explicitly the unitary dual and the matrix coeffi…

math.RT2024

The spectrum of the Vladimirov sub-Laplacian on the compact Engel group

J. P. Velasquez-Rodriguez

Let $p > 3$ be a prime number. In this note, we use p-adic Gaussian integrals to calculate explicitly the unitary dual and the matrix coefficients of the Engel group over the $p$ -adi…

math.RT2024

The spectrum of the Vladimirov sub-Laplacian on the compact Heisenberg group

J. P. Velasquez-Rodriguez

Let $p > 2$ be a prime number. In this short note, we calculate explicitly the unitary dual and the matrix coefficients of the Heisenberg group over the $p$ -adic integers. As an appl…

math.FA2022

Fundamental solution of the Vladimirov-Taibleson operator on noncommutative Vilenkin groups

Julio delgado, Juan Pablo Velasquez-Rodriguez

The fundamental solution and the heat semigroup of the Vladimirov-Taibleson operator on constant-order noncommutative Vilenkin groups are obtained, together with some estimates on…

math.SP2019★ 1 cited

Spectral properties of pseudo-differential operators over the compact group of $p$ -adic integers and compact Vilenkin groups

Juan Pablo Velasquez-Rodriguez

In this paper. we study properties such as $L^{r}$ -boundedness, compactness, belonging to Schatten classes and nuclearity, Riesz spectral theory, Fredholmness, ellipticity and Gohber…

Lr-Multipliers on compact p-adic Lie groups

Unitary dual and matrix coefficients of compact nilpotent p-adic Lie groups with dimension d≤5

The spectrum of the Vladimirov sub-Laplacian on the compact Engel group

The spectrum of the Vladimirov sub-Laplacian on the compact Heisenberg group

Fundamental solution of the Vladimirov-Taibleson operator on noncommutative Vilenkin groups

Spectral properties of pseudo-differential operators over the compact group of p-adic integers and compact Vilenkin groups

$L^{r}$ -Multipliers on compact $p$ -adic Lie groups

Unitary dual and matrix coefficients of compact nilpotent p-adic Lie groups with dimension $d \leq 5$

Spectral properties of pseudo-differential operators over the compact group of $p$ -adic integers and compact Vilenkin groups