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Teoriya Veroyatnostei i ee Primeneniya, 1994, Volume 39, Issue 2, Pages 357–373 (Mi tvp3806)  
Operator stable probability measures: an overview

W. N. Hudsona, J. D. Masonb, J. A. Veeha

a Department of Discrete and Statistical Sciences, Mathematics Annex, Auburn University, Auburn, AL
b Department of Mathematics, University of Utah, Salt Lake City, UT
Full-text PDF (1017 kB)
Abstract: We present an introduction to the theory of operator stable probability measures by providing an outline of the main results to date. The theory of operator stable probability measures is an extension to higher dimensional spaces of the classical theory of stable measures on the line. By departing from the historical order of development we are able to give a streamlined presentation of the key results in the theory. A new result about simultaneous centering of the symmetry group and the operator stable measure itself is included.
Keywords: operator stable measures, infinitely divisible measures, stable measures.
Received: 24.08.1993
English version:
Theory of Probability and its Applications, 1994, Volume 39, Issue 2, Pages 264–276
DOI: https://doi.org/10.1137/1139016
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: W. N. Hudson, J. D. Mason, J. A. Veeh, “Operator stable probability measures: an overview”, Teor. Veroyatnost. i Primenen., 39:2 (1994), 357–373; Theory Probab. Appl., 39:2 (1994), 264–276
Citation in format AMSBIB
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\paper Operator stable probability measures: an overview
\jour Teor. Veroyatnost. i Primenen.
\yr 1994
\vol 39
\issue 2
\pages 357--373
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1404687}
\zmath{https://zbmath.org/?q=an:0832.60022}
\transl
\jour Theory Probab. Appl.
\yr 1994
\vol 39
\issue 2
\pages 264--276
\crossref{https://doi.org/10.1137/1139016}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RW81500005}
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  • https://www.mathnet.ru/eng/tvp/v39/i2/p357
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