02884nam 2200637 450 99646662380331620220908120113.03-540-68590-110.1007/BFb0094029(CKB)1000000000437382(SSID)ssj0000325849(PQKBManifestationID)12098576(PQKBTitleCode)TC0000325849(PQKBWorkID)10264839(PQKB)11384566(DE-He213)978-3-540-68590-6(MiAaPQ)EBC5591765(Au-PeEL)EBL5591765(OCoLC)1066186285(MiAaPQ)EBC6842209(Au-PeEL)EBL6842209(OCoLC)1159643399(PPN)155192566(EXLCZ)99100000000043738220220908d1996 uy 0engurnn|008mamaatxtccrProbabilities on the Heisenberg group limit theorems and Brownian motion /Daniel Neuenschwander1st ed. 1996.Berlin, Germany ;New York, New York :Springer-Verlag,[1996]©19961 online resource (VIII, 148 p.) Lecture Notes in Mathematics,0075-8434 ;1630Bibliographic Level Mode of Issuance: Monograph3-540-61453-2 Probability theory on simply connected nilpotent Lie groups -- Brownian motions on H -- Other limit theorems on H.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.Lecture Notes in Mathematics,0075-8434 ;1630Brownian motion processesLimit theorems (Probability theory)Probability measuresBrownian motion processes.Limit theorems (Probability theory)Probability measures.519.2Neuenschwander Daniel1963-61062MiAaPQMiAaPQMiAaPQBOOK996466623803316Probabilities on the Heisenberg group78059UNISA