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- catalog abstract "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.".
- catalog contributor b9972894.
- catalog created "1996.".
- catalog date "1996".
- catalog date "1996.".
- catalog dateCopyrighted "1996.".
- catalog description "1. Probability theory on simply connected nilpotent Lie groups -- 2. Brownian motions on [actual symbol not reproducible] -- 3. Other limit theorems on [actual symbol not reproducible].".
- catalog description "Includes bibliographical references and index.".
- catalog 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.".
- catalog extent "viii, 139 p. ;".
- catalog hasFormat "Probabilities on the Heisenberg group.".
- catalog identifier "3540614532 (pbk. : alk. paper)".
- catalog isFormatOf "Probabilities on the Heisenberg group.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1630.".
- catalog isPartOf "Lecture notes in mathematics ; 1630".
- catalog issued "1996".
- catalog issued "1996.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog relation "Probabilities on the Heisenberg group.".
- catalog subject "510 s 519.2/6 20".
- catalog subject "Brownian motion processes.".
- catalog subject "Distribution (Probability theory).".
- catalog subject "Limit theorems (Probability theory)".
- catalog subject "Mathematical physics.".
- catalog subject "Mathematics.".
- catalog subject "Nilpotent Lie groups.".
- catalog subject "Probability measures.".
- catalog subject "QA3 .L28 no. 1630 QA387".
- catalog subject "Topological Groups.".
- catalog tableOfContents "1. Probability theory on simply connected nilpotent Lie groups -- 2. Brownian motions on [actual symbol not reproducible] -- 3. Other limit theorems on [actual symbol not reproducible].".
- catalog title "Probabilities on the Heisenberg group : limit theorems and Brownian motion / Daniel Neuenschwander.".
- catalog type "text".