On adelic model of boson Fock space
Neretin Yuri
Abstract
We construct a canonical embedding of the Schwartz space on Rn 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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