About: Wold's decomposition

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In mathematics, particularly in operator theory, Wold decomposition or Wold–von Neumann decomposition, named after Herman Wold and John von Neumann, is a classification theorem for isometric linear operators on a given Hilbert space. It states that every isometry is a direct sum of copies of the unilateral shift and a unitary operator. In time series analysis, the theorem implies that any stationary discrete-time stochastic process can be decomposed into a pair of uncorrelated processes, one deterministic, and the other being a moving average process.

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rdfs:label	Décomposition de Wold (fr) Wold's decomposition (en)
rdfs:comment	La décomposition de Wold ou décomposition de Wold-von Neumann est un résultat d'analyse fonctionnelle décrivant les isométries d'un espace de Hilbert. (fr) In mathematics, particularly in operator theory, Wold decomposition or Wold–von Neumann decomposition, named after Herman Wold and John von Neumann, is a classification theorem for isometric linear operators on a given Hilbert space. It states that every isometry is a direct sum of copies of the unilateral shift and a unitary operator. In time series analysis, the theorem implies that any stationary discrete-time stochastic process can be decomposed into a pair of uncorrelated processes, one deterministic, and the other being a moving average process. (en)
dcterms:subject	Invariant subspaces Operator theory Theorems in functional analysis C*-algebras
Wikipage page ID	4415145 (xsd:integer)
Wikipage revision ID	969792969 (xsd:integer)
Link from a Wikipage to another Wikipage	John von Neumann Invariant subspaces Unitary operator Operator theory Theorems in functional analysis Mathematics Operator theory Continuous functional calculus Stationary process Compact operator on Hilbert space Spectrum (functional analysis) Wandering set Herman Wold Hilbert space Isometry C-algebras Toeplitz algebra Toeplitz operator Bulletin of the AMS C-algebra Time series analysis Stochastic process Unilateral shift Moving average process
Link from a Wikipage to an external page	https://books.google.com/books%3Fid=PchPAQAAIAAJ https://books.google.com/books%3Fid=_xvDk-mOiHIC https://books.google.com/books%3Fid=aEwoy7k8ufcC
sameAs	Wold's decomposition Wold's decomposition Wold's decomposition Wold's decomposition Wold's decomposition
dbp:wikiPageUsesTemplate	dbt:About dbt:Cite_book dbt:Cite_journal dbt:Expand_section dbt:Functional_analysis
Link from a Wikipa... related subject.	Shift operator
has abstract	La décomposition de Wold ou décomposition de Wold-von Neumann est un résultat d'analyse fonctionnelle décrivant les isométries d'un espace de Hilbert. (fr) In mathematics, particularly in operator theory, Wold decomposition or Wold–von Neumann decomposition, named after Herman Wold and John von Neumann, is a classification theorem for isometric linear operators on a given Hilbert space. It states that every isometry is a direct sum of copies of the unilateral shift and a unitary operator. In time series analysis, the theorem implies that any stationary discrete-time stochastic process can be decomposed into a pair of uncorrelated processes, one deterministic, and the other being a moving average process. (en)
gold:hypernym	Theorem
prov:wasDerivedFrom	wikipedia-en:Wold's_decomposition?oldid=969792969&ns=0
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foaf:isPrimaryTopicOf	wikipedia-en:Wold's_decomposition
is Link from a Wikipage to another Wikipage of	Wold Wold-von Neumann Decomposition Wold-von Neumann decomposition Wold decomposition Wold–von Neumann decomposition
is Wikipage redirect of	Wold-von Neumann Decomposition Wold-von Neumann decomposition Wold decomposition Wold–von Neumann decomposition
is Wikipage disambiguates of	Wold
is foaf:primaryTopic of	wikipedia-en:Wold's_decomposition

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