operator resolvent

operator resolvent
мат. резольвента оператора

Большой англо-русский и русско-английский словарь. 2001.

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  • Resolvent formalism — In mathematics, the resolvent formalism is a technique for applying concepts from complex analysis to the study of the spectrum of operators on Hilbert spaces and more general spaces.The resolvent captures the spectral properties of an operator… …   Wikipedia

  • Resolvent set — In linear algebra and operator theory, the resolvent set of a linear operator is a set of complex numbers for which the operator is in some sense well behaved . The resolvent set plays an important role in the resolvent formalism.DefinitionsLet X …   Wikipedia

  • Resolvent — Die Resolution ist ein Verfahren der , um eine logische auf Gültigkeit zu testen. Das Resolutionsverfahren, auch Resolutionskalkül genannt, ist ein : Statt direkt die einer Formel zu zeigen, leitet es einen logischen Widerspruch aus deren… …   Deutsch Wikipedia

  • Operator theory — In mathematics, operator theory is the branch of functional analysis that focuses on bounded linear operators, but which includes closed operators and nonlinear operators. Operator theory also includes the study of algebras of operators. Contents …   Wikipedia

  • Discrete Laplace operator — For the discrete equivalent of the Laplace transform, see Z transform. In mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete grid. For the case of a… …   Wikipedia

  • Dissipative operator — In mathematics, a dissipative operator is a linear operator A defined on a linear subspace D(A) of Banach space X, taking values in X such that for all λ > 0 and all x ∈ D(A) A dissipative operator is called maximally… …   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

  • Spectrum (functional analysis) — In functional analysis, the concept of the spectrum of a bounded operator is a generalisation of the concept of eigenvalues for matrices. Specifically, a complex number λ is said to be in the spectrum of a bounded linear operator T if… …   Wikipedia

  • Fredholm theory — In mathematics, Fredholm theory is a theory of integral equations. In the narrowest sense, Fredholm theory concerns itself with the solution of the Fredholm integral equation. In a broader sense, the abstract structure of Fredholm s theory is… …   Wikipedia

  • C0-semigroup — In mathematics, a C0 semigroup, also known as a strongly continuous one parameter semigroup, is a generalization of the exponential function. Just as exponential functions provide solutions of scalar linear constant coefficient ordinary… …   Wikipedia

  • Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   Wikipedia


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