On adelic model of boson Fock space

Details On adelic model of boson Fock space On adelic model of boson Fock space

2006-06-15

arxiv.org/abs/math-ph/0606035v1

Physics

Mathematical Physics

8pp

Scientific paper

We construct a canonical embedding of the Schwartz space on $R^n$ to the
space of distributions on the adelic product of all the $p$-adic numbers. This
map is equivariant with respect to the action of the symplectic group $Sp(2n,
Q)$ over rational numbers and with respect to the action of the rational
Heisenberg group.

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