Operator-Semistable Distributions on ${\bf R}^d$

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Previous article Next article Operator-Semistable Distributions on ${\bf R}^d$V. ChornyV. Chornyhttps://doi.org/10.1137/1131095PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Peter Lancaster, Theory of matrices, Academic Press, New York, 1969xii+316 39:6885 0186.05301 Google Scholar[2] V. M. Kruglov, On an extension of the class of stable distributions, Theory Probab. Appl., 17 (1972), 685–694 10.1137/1117081 0279.60035 LinkGoogle Scholar[3] L. S. Pontryagin, Ordinary Differential Equations, Nauka, Moscow, 1974, (In Russian.) Google Scholar[4] R. Jajte, Semi-stable probability measures on ${\bf R}\sp{N}$, Studia Math., 61 (1977), 29–39 55:9210 0365.60017 CrossrefGoogle Scholar[5] William N. Hudson and , J. David Mason, Operator-stable laws, J. Multivariate Anal., 11 (1981), 434–447 10.1016/0047-259X(81)90086-5 83a:60007 0466.60016 CrossrefGoogle Scholar[6] A. Luczak, Operator semistable probability measures on ${\bf R}\sp{N}$, Colloq. Math., 45 (1981), 287–300 83k:60027 0501.60022 Google Scholar[7] M. Yamazato, OL distributions on Euclidean spaces, Theory Probab. Appl., 29 (1984), 1–17 10.1137/1129001 0555.60015 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Multiple Points of Operator Semistable Lévy ProcessesJournal of Theoretical Probability, Vol. 33, No. 1 | 14 September 2018 Cross Ref Asymptotic Behavior of Semistable Lévy Exponents and Applications to Fractal Path PropertiesJournal of Theoretical Probability, Vol. 31, No. 1 | 4 November 2016 Cross Ref The Hausdorff Dimension of Operator Semistable Lévy ProcessesJournal of Theoretical Probability, Vol. 27, No. 2 | 12 May 2012 Cross Ref Almost sure limit theorems of mantissa type for semistable domains of attractionActa Mathematica Hungarica, Vol. 114, No. 4 | 1 Mar 2007 Cross Ref Some new limit theorems for vector space- and group-valued random variablesJournal of Mathematical Sciences, Vol. 93, No. 4 | 1 Feb 1999 Cross Ref Series representation for operator semistable laws and domains of normal attractionJournal of Mathematical Sciences, Vol. 92, No. 4 | 1 Dec 1998 Cross Ref The domain of normal attraction of a semistable distribution on a semidirect product compact group and R dJournal of Mathematical Sciences, Vol. 76, No. 1 | 1 Aug 1995 Cross Ref Recurrence and transience of operator semi-stable processesProceedings of the Japan Academy, Series A, Mathematical Sciences, Vol. 71, No. 5 | 1 Jan 1995 Cross Ref Volume 31, Issue 4| 1987Theory of Probability & Its Applications563-742 History Submitted:18 February 1985Published online:17 July 2006 InformationCopyright © 1987 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1131095Article page range:pp. 703-705ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics