Sentence examples for smooth measures from inspiring English sources

But not all C-systems have smooth measures.

For this purpose, we introduce some type of functional convergence of smooth measures, which in fact is equivalent to the quasi-uniform convergence of associated potentials.

The representation is a combination of Feynman Kac and Girsanov formulas, and extends previously known results in the framework of symmetric diffusion processes through the use of the Hardy class of smooth measures, which contains the Kato class of smooth measures.

We establish conditions for the Lp-independence of spectral bounds of Feynman Kac semigroup by continuous additive functionals whose Revuz measures are smooth measures of Kato class having non-negative order Green-tightness.

We study perturbations Eμ≔E+Qu of Dirichlet forms E on some L2 space L2(m) given by quadratic forms Qμ ƒ, g) = ∝ ƒg dμ with μ a signed Borel measure whose positive and negative parts are smooth measures with respect to the given Dirichlet form.

We point out that this property does not depend on the choice of a smooth measure on B k × U, or, for our purposes, just of a family of smooth measures μ s on { λ (s ) } × U varying smoothly with respect to the parameter s ∈ [ 0, 1 ].

Some C-systems preserve a smooth measure (where 'smooth' in this context means absolutely continuous with respect to the Lebesgue measure), in which case they are Bernoulli systems.

Let M be a smooth connected manifold endowed with a smooth measure μ and a smooth locally subelliptic diffusion operator L which is symmetric with respect to μ.

If μ is a smooth measure supported on a flat curve Γ (the curvature of Γ vanishes to infinite order at some point), μ need not be Lp-improving.

We prove essential self-adjointness for semi-bounded below magnetic Schrödinger operators on complete Riemannian manifolds with a given positive smooth measure which is fixed independently of the metric.

The pull-back of μ | U by a diffeomorphism ϕ : B k × G → U is then a product measure ν ′ ⊗ ν, where ν ′ is some smooth measure on B k and the Haar measure ν is biinvariant since G is unimodular.