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math-ph2026
The Haar measure of the -adic rotation group via nautical angles
Lorenzo Guglielmi, Stefano Mancini, Vincenzo Parisi +1
We study the explicit construction of the Haar measure on the compact -adic rotation group by nautical (Cardano) parametrization. Exploiting its topological g…
math-ph2025
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…