Probabilities on the Heisenberg group : limit theorems and Brownian motion. Lecture notes in mathematics ; Vol. 1630.

Neuenschwander, Daniel,

ISBN 10: 3540614532 / ISBN 13: 9783540614531

Published by Berlin ; Heidelberg ; Singapore ; Tokyo ; New York ; Barcelona ; Budapest ; Hong Kong ; London ; Milan ; Paris ; Santa Clara : Springer, 1996

About this Item

VIII, 139 pages Ex-Library book in very good condition. 9783540614531 Sprache: Englisch Gewicht in Gramm: 440.

Seller Inventory # 1166277

Bibliographic Details

• Title: Probabilities on the Heisenberg group : limit theorems and Brownian motion. Lecture notes in mathematics ; Vol. 1630.
• Publisher: Berlin ; Heidelberg ; Singapore ; Tokyo ; New York ; Barcelona ; Budapest ; Hong Kong ; London ; Milan ; Paris ; Santa Clara : Springer
• Publication Date: 1996
• Language: English
• ISBN 10: 3540614532
• ISBN 13: 9783540614531
• Binding: Soft cover
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

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.