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Lecture Notes in Mathematics

Probabilities on the Heisenberg Group

Limit Theorems and Brownian Motion

Authors: Neuenschwander, Daniel

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About this book

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 (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $29.99
price for USA in USD (gross)
  • ISBN 978-3-540-68590-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.95
price for USA in USD
  • ISBN 978-3-540-61453-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Probabilities on the Heisenberg Group
Book Subtitle
Limit Theorems and Brownian Motion
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1630
Copyright
1996
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-68590-6
DOI
10.1007/BFb0094029
Softcover ISBN
978-3-540-61453-1
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VIII, 148
Topics