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Probabilities on the Heisenberg Group: Limit Theorems and Brownian Motion (Lecture Notes in Mathematics)

Neuenschwander, Daniel

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ISBN 10: 3540614532 / ISBN 13: 9783540614531
Published by Springer, 1996
Used Condition: Good
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Former Library book. Shows some signs of wear, and may have some markings on the inside. Bookseller Inventory # GRP23587205

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Bibliographic Details

Title: Probabilities on the Heisenberg Group: Limit...

Publisher: Springer

Publication Date: 1996

Book Condition:Good

Edition: 1996th Edition.

About this title


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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