Probabilities on the Heisenberg group
limit theorems and Brownian motion
Neuenschwander, Daniel
1963-
creator
text
bibliography
Electronic books.
gw
Berlin
New York
Springer
©1996
1996
monographic
eng
1 online resource (viii, 139 pages)
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.
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].
Daniel Neuenschwander.
Includes bibliographical references (pages 125-136) and index.
English.
Nilpotent Lie groups
Probability measures
Limit theorems (Probability theory)
Brownian motion processes
Groupes de Lie nilpotents
Mesures de probabilités
Théorèmes limites (Théorie des probabilités)
Processus de mouvement brownien
Brownian motion processes
Limit theorems (Probability theory)
Nilpotent Lie groups
Probability measures
Limiettheorema's
Distribuicoes (probabilidade)
Processos markovianos
QA3 .L28 no. 1630
QA387
510 s 519.2/6
31.70
Probabilities on the Heisenberg group
Neuenschwander, Daniel, 1963-
Berlin ; New York : Springer, ©1996
(DLC) 96026210
(OCoLC)35043426
Lecture notes in mathematics (Springer-Verlag) ; 1630
9783540685906
3540685901
https://link-springer-com.libraryproxy.ist.ac.at/10.1007/BFb0094029
https://link-springer-com.libraryproxy.ist.ac.at/10.1007/BFb0094029
SPLNM
090119
20211229131550.0
ocn298705118
eng