TY  - BOOK
AU  - Neuenschwander,Daniel
ED  - SpringerLink (Online service)
TI  - Probabilities on the Heisenberg Group: Limit Theorems and Brownian Motion 
T2  - Lecture Notes in Mathematics,
SN  - 9783540685906
AV  - QA273.A1-274.9 
U1  - 519.2 23
PY  - 1996///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Topological Groups
KW  - Distribution (Probability theory)
KW  - Mathematical physics
KW  - Probability Theory and Stochastic Processes
KW  - Topological Groups, Lie Groups
KW  - Mathematical and Computational Physics
KW  - Numerical and Computational Methods in Engineering
N1  - Probability theory on simply connected nilpotent Lie groups -- Brownian motions on H -- Other limit theorems on H
N2  - 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
UR  - http://dx.doi.org/10.1007/BFb0094029
ER  -