Stefano Mancini

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20242026

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math-ph2026

The Haar measure of the $p$ -adic rotation group $SO (3)_{p}$ via nautical angles

Lorenzo Guglielmi, Stefano Mancini, Vincenzo Parisi +1

We study the explicit construction of the Haar measure on the compact $p$ -adic rotation group $SO (3)_{p}$ by nautical (Cardano) parametrization. Exploiting its topological g…

math-ph2026

The tensor product of p-adic Hilbert spaces

Paolo Aniello, Lorenzo Guglielmi, Stefano Mancini +1

In the framework of quantum mechanics over a quadratic extension of the ultrametric field of p-adic numbers, we introduce a notion of tensor product of p-adic Hilbert spaces. To th…

math-ph2024

Characterising the Haar measure on the $p$ -adic rotation groups via inverse limits of measure spaces

Paolo Aniello, Sonia L'Innocente, Stefano Mancini +3

We determine the Haar measure on the compact $p$ -adic special orthogonal groups of rotations $SO (d)_{p}$ in dimension $d = 2, 3$ , by exploiting the machinery of inverse limits…

The Haar measure of the p-adic rotation group SO(3)p​ via nautical angles

The tensor product of p-adic Hilbert spaces

Characterising the Haar measure on the p-adic rotation groups via inverse limits of measure spaces

The Haar measure of the $p$ -adic rotation group $SO (3)_{p}$ via nautical angles

Characterising the Haar measure on the $p$ -adic rotation groups via inverse limits of measure spaces