Feynman integral for functional Schrödinger equations

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We consider functional Schrödinger equations associated with a wide class of Hamiltonians in all Fock representations of the bosonic canonical commutation relations, in particular the Cook-Fock, Friedrichs-Fock, and Bargmann-Fock models. An infinite-dimensional symbolic calculus allows us to prove the convergence of the corresponding Hamiltonian Feynman integrals for propagators of coherent states.
This paper is dedicated to M. I. Vishik and his Seminar at the Moscow State University. LaTex, 16 pages

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