… the Feynman formulas; however, it is possible to bypass some … perturbations are satisfied,
and the Hamiltonian Feynman … type of a Feynman formula, namely, the Lagrangian one. Let us …

… for Feller processes (in particular, for Feller diffusions) in Rd. … by the fact that a Lagrangian
Feynman formula usually gives … perturbed generators of some original semigroups. It is …

… In particular, we consider Feller semigroups in \({{\mathbb R}… perturbations of generators,
multiplicative perturbations of … in Feynman formulae coincide with (or in some cases define) …

… x 1 … d x n is called a Lagrangian Feynman formula if E is a … the equation u t ′ = L u ;
it is called a Hamiltonian Feynman … semigroup of bounded linear operators (ie a C 0 -semigroup, …

… processes, and (Feller type) diffusions in Euclidean spaces, … establish some new Feynman
and Feynman–Kac formulae … perturbations (of generators of some original semigroups) …

… that a Lagrangian Feynman formula gives approximations to … semigroup (T t ) t⩾0 ), while
a Hamiltonian Feynman formula … technique of relatively bounded perturbations of generators (…

Chernoff approximations are known for the following operations: operator splitting⇔ L∗∶=
L1+...+ Lm; multiplicative perturbations of L⇔ L∗∶= aL⇔ random time change of ξt via an …

… This way we get Hamiltonian Feynman formula, ie, the iterated … (Theorem VII.1) and
Lagrangian Feynman formula, ie, the iterated … perturbed generator and additive perturbations of …

… ] to find an explicit formula for the resolving C0-semigroup and thus … is called a Lagrangian
Feynman formula if E is a … the equation ut = Lu; it is called a Hamiltonian Feynman formula if E …

… the fractional equations not as some ’exotic evolutions’, but … known that equations (11)
generate the Feller semigroups Tt … Let us recall the basic formula of the perturbation theory for …