63 citations · 67 across the 2 of their papers we have counts for
4 papers
Hamilton-Jacobi-Bellman equations for Quantum Filtering and Control
J. Gough, V. P. Belavkin, O. G. Smolyanov
We exploit the separation of the filtering and control aspects of quantum feedback control to consider the optimal control as a classical stochastic problem on the space of quantum…
Chernoff's Theorem and Discrete Time Approximations of Brownian Motion on Manifolds
O. G. Smolyanov, H. v. Weizsaecker, O. Wittich
Let (S(t)) be a one-parameter family S = (S(t)) of positive integral operators on a locally compact space L. For a possibly non-uniform partition of [0,1] define a measure on the p…
Hilbert norms for graded algebras
Joachim Kupsch, Oleg G. Smolyanov
This paper presents a solution to a problem from superanalysis about the existence of Hilbert-Banach superalgebras. Two main results are derived: 1) There exist Hilbert norms on so…
Functional Representations for Fock Superalgebras
Joachim Kupsch, Oleg G. Smolyanov
The Fock space of bosons and fermions and its underlying superalgebra are represented by algebras of functions on a superspace. We define Gaussian integration on infinite dimension…