Probabilities on the Heisenberg Group [electronic resource] : Limit Theorems and Brownian Motion /

Probabilities on the Heisenberg Group [electronic resource] : Limit Theorems and Brownian Motion /

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The Heisenberg group comes from quantum mechanics and is the simplest non-commutative Lie group. While it belongs to the class of simply connected nilpotent Lie groups, it turns out that its special structure yields many results which (up to now) have not carried over to this larger class. This book is a survey of probabilistic results on the Heisenberg group. The emphasis lies on limit theorems and their relation to Brownian motion. Besides classical probability tools, non-commutative Fourier analysis and functional analysis (operator semigroups) comes in. The book is intended for probabilists and analysts interested in Lie groups, but given the many applications of the Heisenberg group, it will also be useful for theoretical phycisists specialized in quantum mechanics and for engineers.

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Main Authors: Neuenschwander, Daniel. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1996
Subjects:Mathematics., Topological groups., Lie groups., Probabilities., Physics., Computational intelligence., Probability Theory and Stochastic Processes., Topological Groups, Lie Groups., Theoretical, Mathematical and Computational Physics., Computational Intelligence.,
Online Access:http://dx.doi.org/10.1007/BFb0094029
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spelling KOHA-OAI-TEST:2075372018-07-30T23:37:46ZProbabilities on the Heisenberg Group [electronic resource] : Limit Theorems and Brownian Motion / Neuenschwander, Daniel. author. SpringerLink (Online service) textBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,1996.engThe Heisenberg group comes from quantum mechanics and is the simplest non-commutative Lie group. While it belongs to the class of simply connected nilpotent Lie groups, it turns out that its special structure yields many results which (up to now) have not carried over to this larger class. This book is a survey of probabilistic results on the Heisenberg group. The emphasis lies on limit theorems and their relation to Brownian motion. Besides classical probability tools, non-commutative Fourier analysis and functional analysis (operator semigroups) comes in. The book is intended for probabilists and analysts interested in Lie groups, but given the many applications of the Heisenberg group, it will also be useful for theoretical phycisists specialized in quantum mechanics and for engineers.Probability theory on simply connected nilpotent Lie groups -- Brownian motions on H -- Other limit theorems on H.The Heisenberg group comes from quantum mechanics and is the simplest non-commutative Lie group. While it belongs to the class of simply connected nilpotent Lie groups, it turns out that its special structure yields many results which (up to now) have not carried over to this larger class. This book is a survey of probabilistic results on the Heisenberg group. The emphasis lies on limit theorems and their relation to Brownian motion. Besides classical probability tools, non-commutative Fourier analysis and functional analysis (operator semigroups) comes in. The book is intended for probabilists and analysts interested in Lie groups, but given the many applications of the Heisenberg group, it will also be useful for theoretical phycisists specialized in quantum mechanics and for engineers.Mathematics.Topological groups.Lie groups.Probabilities.Physics.Computational intelligence.Mathematics.Probability Theory and Stochastic Processes.Topological Groups, Lie Groups.Theoretical, Mathematical and Computational Physics.Computational Intelligence.Springer eBookshttp://dx.doi.org/10.1007/BFb0094029URN:ISBN:9783540685906
institution COLPOS
collection Koha
country México
countrycode MX
component Bibliográfico
access En linea
En linea
databasecode cat-colpos
tag biblioteca
region America del Norte
libraryname Departamento de documentación y biblioteca de COLPOS
language eng
topic Mathematics.
Topological groups.
Lie groups.
Probabilities.
Physics.
Computational intelligence.
Mathematics.
Probability Theory and Stochastic Processes.
Topological Groups, Lie Groups.
Theoretical, Mathematical and Computational Physics.
Computational Intelligence.
Mathematics.
Topological groups.
Lie groups.
Probabilities.
Physics.
Computational intelligence.
Mathematics.
Probability Theory and Stochastic Processes.
Topological Groups, Lie Groups.
Theoretical, Mathematical and Computational Physics.
Computational Intelligence.
spellingShingle Mathematics.
Topological groups.
Lie groups.
Probabilities.
Physics.
Computational intelligence.
Mathematics.
Probability Theory and Stochastic Processes.
Topological Groups, Lie Groups.
Theoretical, Mathematical and Computational Physics.
Computational Intelligence.
Mathematics.
Topological groups.
Lie groups.
Probabilities.
Physics.
Computational intelligence.
Mathematics.
Probability Theory and Stochastic Processes.
Topological Groups, Lie Groups.
Theoretical, Mathematical and Computational Physics.
Computational Intelligence.
Neuenschwander, Daniel. author.
SpringerLink (Online service)
Probabilities on the Heisenberg Group [electronic resource] : Limit Theorems and Brownian Motion /
description The Heisenberg group comes from quantum mechanics and is the simplest non-commutative Lie group. While it belongs to the class of simply connected nilpotent Lie groups, it turns out that its special structure yields many results which (up to now) have not carried over to this larger class. This book is a survey of probabilistic results on the Heisenberg group. The emphasis lies on limit theorems and their relation to Brownian motion. Besides classical probability tools, non-commutative Fourier analysis and functional analysis (operator semigroups) comes in. The book is intended for probabilists and analysts interested in Lie groups, but given the many applications of the Heisenberg group, it will also be useful for theoretical phycisists specialized in quantum mechanics and for engineers.
format Texto
topic_facet Mathematics.
Topological groups.
Lie groups.
Probabilities.
Physics.
Computational intelligence.
Mathematics.
Probability Theory and Stochastic Processes.
Topological Groups, Lie Groups.
Theoretical, Mathematical and Computational Physics.
Computational Intelligence.
author Neuenschwander, Daniel. author.
SpringerLink (Online service)
author_facet Neuenschwander, Daniel. author.
SpringerLink (Online service)
author_sort Neuenschwander, Daniel. author.
title Probabilities on the Heisenberg Group [electronic resource] : Limit Theorems and Brownian Motion /
title_short Probabilities on the Heisenberg Group [electronic resource] : Limit Theorems and Brownian Motion /
title_full Probabilities on the Heisenberg Group [electronic resource] : Limit Theorems and Brownian Motion /
title_fullStr Probabilities on the Heisenberg Group [electronic resource] : Limit Theorems and Brownian Motion /
title_full_unstemmed Probabilities on the Heisenberg Group [electronic resource] : Limit Theorems and Brownian Motion /
title_sort probabilities on the heisenberg group [electronic resource] : limit theorems and brownian motion /
publisher Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
publishDate 1996
url http://dx.doi.org/10.1007/BFb0094029
work_keys_str_mv AT neuenschwanderdanielauthor probabilitiesontheheisenberggroupelectronicresourcelimittheoremsandbrownianmotion
AT springerlinkonlineservice probabilitiesontheheisenberggroupelectronicresourcelimittheoremsandbrownianmotion
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