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LEADER 00000cam  2200757Ki 4500 
001    696139086 
003    OCoLC 
005    20180309083317.6 
006    m     o  d         
007    cr cnu---unuuu 
008    110111s2009    nju     ob    001 0 eng d 
010    |z2009021970 
019    880826795|a961498353|a962567981 
020    9789814282499|q(electronic bk.) 
020    9814282499|q(electronic bk.) 
020    |z9789814282482 
020    |z9814282480 
035    (OCoLC)696139086|z(OCoLC)880826795|z(OCoLC)961498353
       |z(OCoLC)962567981 
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049    OXBE 
050  4 QA273.43|b.H53 2010eb 
072  7 MAT|x029000|2bisacsh 
082 04 519.2|222 
100 1  Heyer, Herbert.|0http://id.loc.gov/authorities/names/
       n79041598 
245 10 Structural aspects in the theory of probability /|cHerbert
       Heyer. 
250    Second enlarged edition /|bwith an additional chapter by 
       Gyula Pap. 
264  1 New Jersey :|bWorld Scientific,|c[2010] 
264  4 |c©2010 
300    1 online resource (xii, 412 pages). 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
340    |gpolychrome|2rdacc|0http://rdaregistry.info/termList/
       RDAColourContent/1003 
347    text file|2rdaft|0http://rdaregistry.info/termList/
       fileType/1002 
490 1  Series on multivariate analysis ;|vv. 8 
504    Includes bibliographical references (pages 389-395) and 
       index. 
505 0  Preface to the second enlarged edition; Preface; Contents;
       1. Probability Measures on Metric Spaces; 1.1 Tight 
       measures; 1.2 The topology of weak convergence; 1.3 The 
       Prokhorov theorem; 1.4 Convolution of measures; 2. The 
       Fourier Transform in a Banach Space; 2.1 Fourier 
       transforms of probability measures; 2.2 Shift compact sets
       of probability measures; 2.3 Infinitely divisible and 
       embeddable measures; 2.4 Gauss and Poisson measures; 3. 
       The Structure of In nitely Divisible Probability Measures;
       3.1 The Ito-Nisio theorem; 3.2 Fourier expansion and 
       construction of Brownian motion. 
505 8  3.3 Symmetric Levy measures and generalized Poisson 
       measures3.4 The Levy-Khinchin decomposition; 4. Harmonic 
       Analysis of Convolution Semigroups; 4.1 Convolution of 
       Radon measures; 4.2 Duality of locally compact Abelian 
       groups; 4.3 Positive definite functions; 4.4 Positive 
       definite measures; 5. Negative Definite Functions and 
       Convolution Semigroups; 5.1 Negative definite functions; 
       5.2 Convolution semigroups and resolvents; 5.3 Levy 
       functions; 5.4 The L evy-Khinchin representation; 6. 
       Probabilistic Properties of Convolution Semigroups; 6.1 
       Transient convolution semigroups. 
505 8  6.2 The transience criterion6.3 Recurrent random walks; 
       6.4 Classification of transient random walks; 7. 
       Hypergroups in Probability Theory; 7.1 Commutative 
       hypergroups; I Introduction to hypergroups; II Some 
       analysis on hypergroups; 7.2 Decomposition of convolution 
       semigroups of measures; I Constructions of hypergroups; II
       Convolution semigroup of measures; 7.3 Random walks in 
       hypergroups; I Transient random walks; II Limit theorems 
       for random walks; 7.4 Increment processes and convolution 
       semigroups; I Modification of increment processes; II 
       Martingale characterizations of L evy processes. 
505 8  III Gaussian processes in a Sturm-Liouville 
       hypergroupComments on the selection of references; 8. 
       Limit Theorems on Locally Compact Abelian Groups; 8.1 
       Limit problems and parametrization of weakly infinitely 
       divisible measures; 8.2 Gaiser's limit theorem; 8.3 Limit 
       theorems for symmetric arrays and Bernoulli arrays; 8.4 
       Limit theorems for special locally compact Abelian groups;
       Appendices; A Topological groups; B Topological vector 
       spaces; C Commutative Banach algebras; Selected 
       References; Symbols; Index. 
520    The book is conceived as a text accompanying the 
       traditional graduate courses on probability theory. An 
       important feature of this enlarged version is the emphasis
       on algebraic-topological aspects leading to a wider and 
       deeper understanding of basic theorems such as those on 
       the structure of continuous convolution semigroups and the
       corresponding processes with independent increments. 
       Fourier transformation - the method applied within the 
       settings of Banach spaces, locally compact Abelian groups 
       and commutative hypergroups - is given an in-depth 
       discussion. This powerful analytic tool along wit. 
588 0  Print version record. 
650  0 Probabilities.|0http://id.loc.gov/authorities/subjects/
       sh85107090 
650  0 Topological groups.|0http://id.loc.gov/authorities/
       subjects/sh85136082 
650  0 Banach spaces.|0http://id.loc.gov/authorities/subjects/
       sh85011441 
650  0 Probability measures.|0http://id.loc.gov/authorities/
       subjects/sh92001869 
650  0 Abelian groups.|0http://id.loc.gov/authorities/subjects/
       sh85000128 
655  4 Electronic books. 
700 1  Pap, Gyula,|d1954-|0http://id.loc.gov/authorities/names/
       no2011044843 
700 1  Heyer, Herbert.|tStructural aspects of probability theory.
776 08 |iPrint version:|aHeyer, Herbert.|tStructural aspects in 
       the theory of probability.|b2nd ed.|dNew Jersey : World 
       Scientific, 2010|z9789814282482|w(DLC)  2009021970
       |w(OCoLC)373474750 
830  0 Series on multivariate analysis ;|0http://id.loc.gov/
       authorities/names/n95093809|vv. 8. 
956 40 |uhttp://proxy.opal-libraries.org/login?url=http://
       search.ebscohost.com/login.aspx?direct=true&scope=site&
       db=nlebk&AN=340559|zView online 
990    ProQuest Ebook Central|bEbook Central Academic Complete
       |c2018-03-09|yAdded to collection pqebk.acadcomplete - 
       Removed from collection pqebk.acadcomplete|5OXB 
990    ProQuest Ebook Central|bEbook Central Academic Complete
       |c2018-03-09|yAdded to collection pqebk.acadcomplete - 
       Removed from collection pqebk.acadcomplete|5MAL 
990    ProQuest Ebook Central|bEbook Central Academic Complete
       |c2018-03-09|yAdded to collection pqebk.acadcomplete - 
       Removed from collection pqebk.acadcomplete|5MTU 
990    ProQuest Ebook Central|bEbook Central Academic Complete
       |c2017-08-11|yCustom text change|5MTU 
990    ProQuest Ebook Central|bEbook Central Academic Complete
       |c2017-07-28|yAdded to collection pqebk.acadcomplete - 
       Removed from collection pqebk.acadcomplete|5MAL 
990    ProQuest Ebook Central|bEbook Central Academic Complete
       |c2017-07-21|yAdded to collection pqebk.acadcomplete|5MAL 
990    ProQuest Ebook Central|bEbook Central Academic Complete
       |c2017-08-05|yAdded to collection pqebk.acadcomplete|5MTU 
990    ProQuest Ebook Central|bEbook Central Academic Complete
       |c2017-06-16|5OXB 
990    eBooks on EBSCOhost|bEBSCO eBook Subscription Academic 
       Collection - North America|c2016-08-05|yMaster record 
       variable field(s) change: 245 

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