Sentence examples for functional calculus for from inspiring English sources

We construct a functional calculus for symbolic functions of "scattering pseudodifferential operators" on manifolds with boundary.

More precisely, if M carries an isometric and effective action of a compact connected Lie group G, we prove a generalized equivariant version of the semiclassical Weyl law with an estimate for the remainder, using a semiclassical functional calculus for h-dependent functions and relying on recent results on singular equivariant asymptotics.

Colombo, I. Sabadini, D.C. Struppa, Slice monogenic functions, Israel J. Math., in press] to define a new functional calculus for an n-tuple T of not necessarily commuting operators.

This interpretation naturally generates a functional calculus for appropriateness measures.

The functional calculus for D leads to a functional calculus for Πi = 1n((− i ddx)) − ai) where the ai are derivatives of suitably constrained bounded functions.

Some results on the allowed functional calculus for closed derivations on Hilbert algebras are obtained.

We show that, when B is of a-type V, then there exists a Ranach subspace, Y, such that [D Bm)] ↷ Y ↷ X and there exists an H∞(V -functional calculus for B|Y.

As an application, functional calculus estimates for bounded operators with at most polynomially growing powers are derived, leading to a new proof of classical results by Peller from 1982.

We give a functional calculus formula for infinitesimal generators of holomorphic semigroups of operators on Banach spaces, which involves the Bochner Riesz kernels of such generators.

As applications, we show that L has a bounded holomorphic functional calculus on HpL X) for all p>0 and certain Riesz transforms associated to L are bounded from HpL X) to Lp(X) for all 0

We construct a functional calculus φ↦φ(A,B) for functions φ in the Besov class B1∞,1 R2).