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cylinder set measure

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  • Cylinder set measure — In mathematics, cylinder set measure (or promeasure, or premeasure, or quasi measure, or CSM) is a kind of prototype for a measure on an infinite dimensional vector space. An example is the Gaussian cylinder set measure on Hilbert space. Cylinder …   Wikipedia

  • Cylinder set — In mathematics, a cylinder set is the natural open set of a product topology. Cylinder sets are particularly useful in providing the base of the natural topology of the product of a countable number of copies of a set. If V is a finite set, then… …   Wikipedia

  • Cantor set — In mathematics, the Cantor set, introduced by German mathematician Georg Cantor in 1883 [Georg Cantor (1883) Über unendliche, lineare Punktmannigfaltigkeiten V [On infinite, linear point manifolds (sets)] , Mathematische Annalen , vol. 21, pages… …   Wikipedia

  • Diving cylinder — Diving cylinders to be filled at a diving air compressor station …   Wikipedia

  • Gibbs measure — In mathematics, the Gibbs measure, named after Josiah Willard Gibbs, is a probability measure frequently seen in many problems of probability theory and statistical mechanics. It is the measure associated with the Boltzmann distribution, and… …   Wikipedia

  • List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …   Wikipedia

  • Nuclear space — In mathematics, a nuclear space is a topological vector space with many of the good properties of finite dimensional vector spaces. The topology on them can be defined by a family of seminorms whose unit balls decrease rapidly in size. Vector… …   Wikipedia

  • Sazonov's theorem — In mathematics, Sazonov s theorem is a theorem in functional analysis. It states that a bounded linear operator between two Hilbert spaces is gamma; radonifying if it is Hilbert Schmidt. The result is also important in the study of stochastic… …   Wikipedia

  • Classical Wiener space — In mathematics, classical Wiener space is the collection of all continuous functions on a given domain (usually a sub interval of the real line), taking values in a metric space (usually n dimensional Euclidean space). Classical Wiener space is… …   Wikipedia

  • Abstract Wiener space — An abstract Wiener space is a mathematical object in measure theory, used to construct a decent (strictly positive and locally finite) measure on an infinite dimensional vector space. It is named after the American mathematician Norbert Wiener.… …   Wikipedia

  • Radonifying function — In measure theory, a radonifying function (ultimately named after Johann Radon) between measurable spaces is one that takes a cylinder set measure (CSM) on the first space to a true measure on the second space. It acquired its name because the… …   Wikipedia

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