J. P. Velasquez-Rodriguez

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20192026

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

3 citations · 4 across the 11 of their papers we have counts for

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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…

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

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

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