01097nam a2200289 i 450099100177730970753620060717060719s2005 it 000 0 ita d8878700827 b13425730-39ule_instDip.to Filol. Ling. e Lett.ita851.3 Serafino : Aquilano471051Sonetti e altre rime /Serafino Aquilano ; a cura di Antonio RossiRoma :Bulzoni, 2005640 p. ; 24 cmBiblioteca del Cinquecento ;119Nell'occhietto: "Europa delle Corti" Centro studi sulle società di antico regimeSegue: AppendiceRossi, AntonioBiblioteca del Cinquecento /Centro studi Europa delle Corti.b1342573002-04-1419-07-06991001777309707536LE008 TS M I 20412008000092221le008Facecchia-E0.00-l- 01010.i1427182519-07-06Sonetti e altre rime993984UNISALENTOle008 - - ma -itait 0004574nam 22007935 450 991029999570332120250609111213.03-319-07842-910.1007/978-3-319-07842-7(CKB)3710000000143859(EBL)1783084(SSID)ssj0001277381(PQKBManifestationID)11747731(PQKBTitleCode)TC0001277381(PQKBWorkID)11257498(PQKB)10898000(MiAaPQ)EBC1783084(DE-He213)978-3-319-07842-7(PPN)179765914(MiAaPQ)EBC6235503(EXLCZ)99371000000014385920140626d2014 u| 0engur|n|---|||||txtccrProbability on compact lie groups /by David Applebaum1st ed. 2014.Cham :Springer International Publishing :Imprint: Springer,2014.1 online resource (236 p.)Probability Theory and Stochastic Modelling,2199-3130 ;70Includes index.1-322-13700-5 3-319-07841-0 Introduction -- 1.Lie Groups -- 2.Representations, Peter-Weyl Theory and Weights -- 3.Analysis on Compact Lie Groups -- 4.Probability Measures on Compact Lie Groups -- 5.Convolution Semigroups of Measures -- 6.Deconvolution Density Estimation -- Appendices -- Index -- Bibliography.Probability theory on compact Lie groups deals with the interaction between “chance” and “symmetry,” a beautiful area of mathematics of great interest in its own sake but which is now also finding increasing applications in statistics and engineering (particularly with respect to signal processing). The author gives a comprehensive introduction to some of the principle areas of study, with an emphasis on applicability. The most important topics presented are: the study of measures via the non-commutative Fourier transform, existence and regularity of densities, properties of random walks and convolution semigroups of measures, and the statistical problem of deconvolution. The emphasis on compact (rather than general) Lie groups helps readers to get acquainted with what is widely seen as a difficult field but which is also justified by the wealth of interesting results at this level and the importance of these groups for applications. The book is primarily aimed at researchers working in probability, stochastic analysis and harmonic analysis on groups. It will also be of interest to mathematicians working in Lie theory and physicists, statisticians and engineers who are working on related applications. A background in first year graduate level measure theoretic probability and functional analysis is essential; a background in Lie groups and representation theory is certainly helpful but the first two chapters also offer orientation in these subjects.Probability Theory and Stochastic Modelling,2199-3130 ;70ProbabilitiesHarmonic analysisTopological groupsLie groupsFunctional analysisFourier analysisProbability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Abstract Harmonic Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12015Topological Groups, Lie Groupshttps://scigraph.springernature.com/ontologies/product-market-codes/M11132Functional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Fourier Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12058Probabilities.Harmonic analysis.Topological groups.Lie groups.Functional analysis.Fourier analysis.Probability Theory and Stochastic Processes.Abstract Harmonic Analysis.Topological Groups, Lie Groups.Functional Analysis.Fourier Analysis.512.55Applebaum Davidauthttp://id.loc.gov/vocabulary/relators/aut151518MiAaPQMiAaPQMiAaPQBOOK9910299995703321Probability on compact Lie groups1410403UNINA