polynomial functional

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• Functional calculus — In mathematics, a functional calculus is a theory allowing one to apply mathematical functions to mathematical operators. The term was also used previously to refer to the calculus of variations. If f is a function, say a numerical function of a… …   Wikipedia

• Holomorphic functional calculus — In mathematics, holomorphic functional calculus is functional calculus with holomorphic functions. That is to say, given a holomorphic function fnof; of a complex argument z and an operator T , the aim is to construct an operator:f(T),which in a… …   Wikipedia

• Borel functional calculus — In functional analysis, a branch of mathematics, the Borel functional calculus is a functional calculus (that is, an assignment of operators from commutative algebras to functions defined on their spectrum), which has particularly broad… …   Wikipedia

• List of polynomial topics — This is a list of polynomial topics, by Wikipedia page. See also trigonometric polynomial, list of algebraic geometry topics.Basics*Polynomial *Coefficient *Monomial *Polynomial long division *Polynomial factorization *Rational function *Partial… …   Wikipedia

• Decomposition of spectrum (functional analysis) — In mathematics, especially functional analysis, the spectrum of an operator generalizes the notion of eigenvalues. Given an operator, it is sometimes useful to break up the spectrum into various parts. This article discusses a few examples of… …   Wikipedia

• Blossom (functional) — In numerical analysis, a blossom is a functional that can be applied to any polynomial, but is mostly used for Bezier and spline curves and surfaces. The blossom of a polynomial fnof; , often denoted mathcal{B} [f] , is completely characterised… …   Wikipedia

• Mahler polynomial — In mathematics, the Mahler polynomials gn(x) are polynomials introduced by Mahler (1930) in his work on the zeros of the incomplete gamma function. Mahler polynomials are given by the generating function Mahler polynomials can be given as… …   Wikipedia

• Jordan normal form — In linear algebra, a Jordan normal form (often called Jordan canonical form)[1] of a linear operator on a finite dimensional vector space is an upper triangular matrix of a particular form called Jordan matrix, representing the operator on some… …   Wikipedia

• Von Neumann's inequality — In operator theory, von Neumann s inequality, due to John von Neumann, states that, for a contraction T acting on a Hilbert space and a polynomial p , then the norm of p ( T ) is bounded by the supremum of | p ( z )| for z in the unit disk. [… …   Wikipedia

• Cholesky decomposition — In linear algebra, the Cholesky decomposition or Cholesky triangle is a decomposition of a Hermitian, positive definite matrix into the product of a lower triangular matrix and its conjugate transpose. It was discovered by André Louis Cholesky… …   Wikipedia

• Schwinger function — In quantum field theory, the Wightman distributions can be analytically continued to analytic functions in Euclidean space with the domain restricted to the ordered set of points in Euclidean space with no coinciding points. These functions are… …   Wikipedia