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  • © 1996

Probabilities on the Heisenberg Group

Limit Theorems and Brownian Motion

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1630)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-viii
  2. Introduction

    • Daniel Neuenschwander
    Pages 1-6
  3. Brownian motions on H

    • Daniel Neuenschwander
    Pages 29-84
  4. Other limit theorems on H

    • Daniel Neuenschwander
    Pages 85-123
  5. Back Matter

    Pages 125-139

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.

Keywords

  • Brownian motion
  • Probability theory
  • functional analysis
  • linear optimization
  • mechanics
  • operator
  • quantum mechanics

Bibliographic Information

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions