25 citations · 25 across the 3 of their papers we have counts for
3 papers
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…
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…
Symplectic invariants for parabolic orbits and cusp singularities of integrable systems with two degrees of freedom
Alexey Bolsinov, Lorenzo Guglielmi, Elena Kudryavtseva
We discuss normal forms and symplectic invariants of parabolic orbits and cuspidal tori in integrable Hamiltonian systems with two degrees of freedom. Such singularities appear in…