000 02813nam a22005415i 4500
001 978-3-540-68590-6
003 DE-He213
005 20160624101832.0
007 cr nn 008mamaa
008 121227s1996 gw | s |||| 0|eng d
020 _a9783540685906
_9978-3-540-68590-6
024 7 _a10.1007/BFb0094029
_2doi
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
072 7 _aPBT
_2bicssc
072 7 _aPBWL
_2bicssc
072 7 _aMAT029000
_2bisacsh
082 0 4 _a519.2
_223
100 1 _aNeuenschwander, Daniel.
_eauthor.
245 1 0 _aProbabilities on the Heisenberg Group
_h[electronic resource] :
_bLimit Theorems and Brownian Motion /
_cby Daniel Neuenschwander.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1996.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1996.
300 _aVIII, 148 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1630
505 0 _aProbability theory on simply connected nilpotent Lie groups -- Brownian motions on H -- Other limit theorems on H.
520 _aThe 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.
650 0 _aMathematics.
650 0 _aTopological Groups.
650 0 _aDistribution (Probability theory).
650 0 _aMathematical physics.
650 1 4 _aMathematics.
650 2 4 _aProbability Theory and Stochastic Processes.
650 2 4 _aTopological Groups, Lie Groups.
650 2 4 _aMathematical and Computational Physics.
650 2 4 _aNumerical and Computational Methods in Engineering.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540614531
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1630
856 4 0 _uhttp://dx.doi.org/10.1007/BFb0094029
942 _2EBK1785
_cEBK
999 _c31079
_d31079