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In mathematics, classical Wiener space is the collection of all continuous functions on a given domain (usually a subinterval of the real line), taking values in a metric space (usually n-dimensional Euclidean space). Classical Wiener space is useful in the study of stochastic processes whose sample paths are continuous functions. It is named after the American mathematician Norbert Wiener.

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rdfs:label	Klassischer Wiener-Raum (de) Classical Wiener space (en) Espace de Wiener (fr) Espaço de Wiener (pt)
rdfs:comment	Der klassische Wiener-Raum bezeichnet in der Stochastik den Raum, auf dem Norbert Wiener sein Wiener-Maß im Jahre 1923 konstruiert hat. Wiener selbst nannte diesen Raum Differentialraum (englisch Differential-Space). Er konstruierte das Wiener-Maß als ein Gaußsches Maß auf einer unendlichdimensionalen Sphäre im Funktionenraum der stetigen Funktionen auf dem Interval . Den Wiener-Raum nennt man klassisch zur Unterscheidung zwischen dem von Wiener betrachteten Raum und der von verallgemeinerten Konstruktion des . (de) In mathematics, classical Wiener space is the collection of all continuous functions on a given domain (usually a subinterval of the real line), taking values in a metric space (usually n-dimensional Euclidean space). Classical Wiener space is useful in the study of stochastic processes whose sample paths are continuous functions. It is named after the American mathematician Norbert Wiener. (en) En mathématiques, et plus précisément en analyse fonctionnelle, un espace de Wiener (introduit par le mathématicien Norbert Wiener) est un ensemble formé de toutes les fonctions continues sur un domaine donné (le plus souvent un intervalle de R) et à valeurs dans un espace métrique (en général l'espace euclidien à n dimensions). Les espaces de Wiener interviennent dans l'étude des processus stochastiques. (fr) Em matemática, o espaço de Wiener clássico é a compilação de todas as funções contínuas em um dado domínio (geralmente um subintervalo da reta real), assumindo valores em um espaço métrico (geralmente um espaço euclidiano de dimensões). O espaço de Wiener clássico é útil no estudo de processos estocásticos cujos caminhos amostrais forem funções contínuas. Tem este nome graças ao matemático norte-americano Norbert Wiener. (pt)
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Link from a Wikipage to another Wikipage	Modulus of continuity Product measure Almost surely Cylinder set measure Càdlàg Uniform norm United States Independent increments Complete space Continuous function Mathematics Gaussian measure Vertical bar Separable space Arzelà-Ascoli theorem Stochastic processes Stone–Weierstrass theorem Markov property Mathematician Banach space Topology Domain of a function Law (stochastic processes) Radonifying function Euclidean space Norbert Wiener Uniform convergence Hilbert space Abstract Wiener space Stochastic processes Metric geometry Tightness of measures Wiener process Polish space If and only if Metric space Brownian motion Open set Metric (mathematics) Probability measure Real line Stochastic process Normed vector space Strictly positive measure Uniform topology (disambiguation) Subinterval
sameAs	Classical Wiener space Classical Wiener space Classical Wiener space Classical Wiener space Classical Wiener space Classical Wiener space Classical Wiener space
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has abstract	Der klassische Wiener-Raum bezeichnet in der Stochastik den Raum, auf dem Norbert Wiener sein Wiener-Maß im Jahre 1923 konstruiert hat. Wiener selbst nannte diesen Raum Differentialraum (englisch Differential-Space). Er konstruierte das Wiener-Maß als ein Gaußsches Maß auf einer unendlichdimensionalen Sphäre im Funktionenraum der stetigen Funktionen auf dem Interval . Den Wiener-Raum nennt man klassisch zur Unterscheidung zwischen dem von Wiener betrachteten Raum und der von verallgemeinerten Konstruktion des . (de) In mathematics, classical Wiener space is the collection of all continuous functions on a given domain (usually a subinterval of the real line), taking values in a metric space (usually n-dimensional Euclidean space). Classical Wiener space is useful in the study of stochastic processes whose sample paths are continuous functions. It is named after the American mathematician Norbert Wiener. (en) En mathématiques, et plus précisément en analyse fonctionnelle, un espace de Wiener (introduit par le mathématicien Norbert Wiener) est un ensemble formé de toutes les fonctions continues sur un domaine donné (le plus souvent un intervalle de R) et à valeurs dans un espace métrique (en général l'espace euclidien à n dimensions). Les espaces de Wiener interviennent dans l'étude des processus stochastiques. (fr) Em matemática, o espaço de Wiener clássico é a compilação de todas as funções contínuas em um dado domínio (geralmente um subintervalo da reta real), assumindo valores em um espaço métrico (geralmente um espaço euclidiano de dimensões). O espaço de Wiener clássico é útil no estudo de processos estocásticos cujos caminhos amostrais forem funções contínuas. Tem este nome graças ao matemático norte-americano Norbert Wiener. (pt)
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is Link from a Wikipage to another Wikipage of	Cylinder set measure Integration by parts operator Gaussian measure Classical wiener space Radonifying function Base flow (random dynamical systems) Norbert Wiener Prokhorov's theorem Path space Abstract Wiener space Tightness of measures Wiener process

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