The phrase "functional calculus" is correct and can be used in written English.
It refers to a mathematical system or method for solving problems related to functional analysis. Example: The use of functional calculus allowed the researchers to find the optimal solution to the complex optimization problem.
Abstract: We consider trace functions generated by the functional calculus of a real function and obtain a complete characterization of the class of geodesically convex trace functions of this form.
We consider trace functions generated by the functional calculus of a real function and obtain a complete characterization of the class of geodesically convex trace functions of this form.
We construct a functional calculus for symbolic functions of "scattering pseudodifferential operators" on manifolds with boundary.
We construct a functional calculus φ↦φ(A,B) for functions φ in the Besov class B1∞,1 R2).
The S-functional calculus has two versions: one for quaternionic-valued functions and one for Clifford algebra-valued functions and can be considered the Riesz Dunford functional calculus based on slice hyperholomorphicity, because it shares with it the most important properties.
The aim of this paper is to construct a functional calculus defined on a class of functions two variables and satisfying natural properties (linearity and multiplicativity modulo the trace class).
On the other hand we find a class C of functions in two real variables and construct a functional calculus on this class which extends functional calculi constructed earlier.
It is proved that it is impossible to construct such a functional calculus on the class of all continuously differentiable functions.
A real-valued continuous function on an interval gives rise to a map via functional calculus from the convex set of Hermitian matrices all of whose eigenvalues belong to the interval.
We study the Segal Bargmann transform of functions on Xd, with values inMd(C), which are given by functional calculus.
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.
