LEADER 04602nam 2200601 450 001 996466621903316 005 20220911121829.0 010 $a3-540-46206-6 024 7 $a10.1007/BFb0087839 035 $a(CKB)1000000000437427 035 $a(SSID)ssj0000325862 035 $a(PQKBManifestationID)12090805 035 $a(PQKBTitleCode)TC0000325862 035 $a(PQKBWorkID)10264830 035 $a(PQKB)10237824 035 $a(DE-He213)978-3-540-46206-4 035 $a(MiAaPQ)EBC5594452 035 $a(Au-PeEL)EBL5594452 035 $a(OCoLC)1076239396 035 $a(MiAaPQ)EBC6842916 035 $a(Au-PeEL)EBL6842916 035 $a(PPN)155207377 035 $a(EXLCZ)991000000000437427 100 $a20220911d1989 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aProbability measures on groups IX $eproceedings of a conference held in Oberwolfach, FRG, January 17-23, 1988 /$fedited by Herbert Heyer 205 $a1st ed. 1989. 210 1$aBerlin, Germany :$cSpringer,$d[1989] 210 4$d©1989 215 $a1 online resource (X, 442 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1379 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-51401-5 327 $aA Fourier-analytic proof that conditional probability distributions exist on a group -- Tauberian theorems in probability theory -- Characterisation of potential kernels of transient convolution semigroups on a commutative hypergroup -- Embedding infinitely divisible probablities on the affine group -- A propos de l'induction des convoluteurs -- Characterization of the type of some generalizations of the cauchy distribution -- Operators, stochastic processes, and lie groups -- Rectification à l'article de L. Gallardo et O. Gebuhrer "Lois de probabilités infiniment divisibles sur les hypergroupes commutatifs discrets dénombrables" (Probability Measures on Groups VII Lecture Notes 1064) -- Convergence-of-types theorem for simply connected nilpotent lie groups -- MD-semigroups, decomposition of point processes, central limit theorems for certain T2-semigroups -- Infinite dimensional rotation group and unitary group -- A note on the semigroup of analytic mappings with a common fixed point -- Localizations of Feller infinitesimal generators and uniqueness of corresponding killed processes -- A dichotomy theorem for random walks on hypergroups -- A modification of stationarity for stochastic processes induced by orthogonal polynomials -- Le problem de la classification des familles exponentielles naturelles de ?d ayant une fonction variance quadratique -- Convolution products of non-identical distributions on a compact Abelian semigroup -- The Levy Laplacian and mean value theorem -- Bimeasures and harmonizable processes (Analysis, classification, and representation) -- A conjecture concerning mixtures of characters from a given closed subsemigroup in the dual -- Infinitely divisible states on cocommutative bialgebras -- Semistable convolution semigroups and the topology of contraction groups -- The central limit theorem for the symmetric space of GL(3) -- Roots of haar measure and topological hamiltonian groups -- Negative definite functions on commutative hypergroups -- Lp-improving measures on hypergroups -- Statistics of rotations -- Completely bounded and related random fields on locally compact groups -- On the max-divisibility of two dimensional normal random variables -- Properties of the cosh hypergroup. 330 $aThe latest in this series of Oberwolfach conferences focussed on the interplay between structural probability theory and various other areas of pure and applied mathematics such as Tauberian theory, infinite-dimensional rotation groups, central limit theorems, harmonizable processes, and spherical data. Thus it was attended by mathematicians whose research interests range from number theory to quantum physics in conjunction with structural properties of probabilistic phenomena. This volume contains 5 survey articles submitted on special invitation and 25 original research papers. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1379 606 $aProbabilities 615 0$aProbabilities. 676 $a519.2 686 $a43-06$2msc 686 $a60-06$2msc 702 $aHeyer$b Herbert 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466621903316 996 $aProbability measures on groups IX$9262299 997 $aUNISA