Probabilities on the Heisenberg group : limit theorems and Brownian motion
Author(s)
Bibliographic Information
Probabilities on the Heisenberg group : limit theorems and Brownian motion
（Lecture notes in mathematics, 1630）
Springer, c1996
Available at / 97 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
pbk. : alk. paperL/N||LNM||1630RM960906
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Etchujima library, Tokyo University of Marine Science and Technology自然
: pbk410.8||L 1||1630184287
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
pbk. : alk. paper519.26/N3942070375790
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Note
Includes bibliography (p. 125-136) and index
Description and Table of Contents
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.
Table of Contents
Probability theory on simply connected nilpotent Lie groups.- Brownian motions on H.- Other limit theorems on H.
by "Nielsen BookData"
