书目名称 | Probabilities on the Heisenberg Group | 副标题 | Limit Theorems and B | 编辑 | Daniel Neuenschwander | 视频video | | 丛书名称 | Lecture Notes in Mathematics | 图书封面 |  | 描述 | 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. | 出版日期 | Book 1996 | 关键词 | Brownian motion; Probability theory; functional analysis; linear optimization; mechanics; operator; quantu | 版次 | 1 | doi | https://doi.org/10.1007/BFb0094029 | isbn_softcover | 978-3-540-61453-1 | isbn_ebook | 978-3-540-68590-6Series ISSN 0075-8434 Series E-ISSN 1617-9692 | issn_series | 0075-8434 | copyright | Springer-Verlag Berlin Heidelberg 1996 |
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