Sentence examples similar to by a function semigroup from inspiring English sources

Throughout this section, we denote by a commutative semigroup and by a function such that.

Let be a function of a semigroup into such that the weak closure of is weakly compact.

Consider an elliptic second-order divergence operator L (including a boundary condition on ∂Ω) and define a Hardy space by imposing the non-tangential maximal function of the extension of a function f via the Poisson semigroup for L to be in L1.

Moreover, we prove the strong continuity of composition operators semigroup induced by a one-parameter semigroup of holomorphic self-maps of half-plane.

In the last subsection, we consider the strong continuity of the composition operator semigroup induced by a one-parameter semigroup of holomorphic self-maps of (Pi^).

In this section, let be a semigroup with identity and a function with.

Here we will show how to simulate a Minsky machine by a semigroup.

Suffice to say that the Applicative for Validation requires a Semigroup (which like a Monoid defines a function append but without the zero value) to be defined for its error type E. Errors are then accumulated via Semigroup append.

We first introduce a concept called ' -convex (or concave)' for a continuous function from a topological abelian semigroup ( I, ∗ ) to another topological ordered abelian semigroup ( J, ∘ ) and give an interesting example of such a function (see Remark 1).

A function φ defined on K n and taking values in an abelian semigroup is called a valuation if φ (K ) + φ (L ) = φ (K ∪ L ) + φ (K ∩ L ) whenever K ∪ L ∈ K n.

By assuming a heat semigroup type curvature condition, we prove that Cheeger-harmonic functions are Lipschitz continuous on (X,μ,μ).