LEADER 01767nam 2200577 a 450 001 9910452847603321 005 20200520144314.0 010 $a1-282-16573-9 010 $a9786613808806 010 $a1-61117-184-9 035 $a(CKB)2550000000108324 035 $a(OCoLC)808382021 035 $a(CaPaEBR)ebrary10582991 035 $a(SSID)ssj0000701545 035 $a(PQKBManifestationID)12330972 035 $a(PQKBTitleCode)TC0000701545 035 $a(PQKBWorkID)10674969 035 $a(PQKB)10474350 035 $a(MiAaPQ)EBC2054716 035 $a(MdBmJHUP)muse29297 035 $a(Au-PeEL)EBL2054716 035 $a(CaPaEBR)ebr10582991 035 $a(CaONFJC)MIL380880 035 $a(EXLCZ)992550000000108324 100 $a20120216d2012 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe magnificent Mays$b[electronic resource] $ea biography of Benjamin Elijah Mays /$fJohn Herbert Roper, Sr 210 $aColumbia $cUniversity of South Carolina Press$d2012 215 $a1 online resource (385 p.) 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a1-61117-077-X 320 $aIncludes bibliographical references and index. 606 $aAfrican American educators$vBiography 606 $aAfrican Americans$xCivil rights 608 $aElectronic books. 615 0$aAfrican American educators 615 0$aAfrican Americans$xCivil rights. 676 $a378.0092 676 $aB 700 $aRoper$b John Herbert$f1948-$0858201 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910452847603321 996 $aThe magnificent Mays$91915918 997 $aUNINA LEADER 04050nam 2200733 a 450 001 9910789087603321 005 20211022211248.0 010 $a3-11-022399-6 024 7 $a10.1515/9783110223996 035 $a(CKB)3390000000032513 035 $a(EBL)1113332 035 $a(OCoLC)851970517 035 $a(SSID)ssj0000916994 035 $a(PQKBManifestationID)11493465 035 $a(PQKBTitleCode)TC0000916994 035 $a(PQKBWorkID)10890932 035 $a(PQKB)11011204 035 $a(MiAaPQ)EBC1113332 035 $a(DE-B1597)37951 035 $a(OCoLC)1045505360 035 $a(OCoLC)853244114 035 $a(DE-B1597)9783110223996 035 $a(Au-PeEL)EBL1113332 035 $a(CaPaEBR)ebr10728960 035 $a(PPN)17555692X 035 $a(EXLCZ)993390000000032513 100 $a20130313d2013 uy 0 101 0 $aeng 135 $aurnn#---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aMultivariate characteristic and correlation functions$b[electronic resource] /$fZolta?n Sasva?ri 210 $aBerlin ;$aBoston $cDe Gruyter$d2013 215 $a1 online resource (376 p.) 225 0 $aDe Gruyter Studies in Mathematics ;$v50 300 $aDescription based upon print version of record. 311 0 $a3-11-022398-8 320 $aIncludes bibliographical references (p. [357]-360) and index. 327 $tFront matter --$tPreface --$tContents --$tChapter 1. Characteristic functions --$tChapter 2. Correlation functions --$tChapter 3. Special properties --$tChapter 4. The extension problem --$tChapter 5. Selected applications --$tAppendix A. Basic notation --$tAppendix B. Basic analysis --$tAppendix C. Advanced analysis --$tAppendix D. Functional analysis --$tAppendix E. Measure theory --$tAppendix F. Probability --$tBibliography --$tIndex 330 $aIn a certain sense characteristic functions and correlation functions are the same, the common underlying concept is positive definiteness. Many results in probability theory, mathematical statistics and stochastic processes can be derived by using these functions. While there are books on characteristic functions of one variable, books devoting some sections to the multivariate case, and books treating the general case of locally compact groups, interestingly there is no book devoted entirely to the multidimensional case which is extremely important for applications. This book is intended to fill this gap at least partially. It makes the basic concepts and results on multivariate characteristic and correlation functions easily accessible to both students and researchers in a comprehensive manner. The first chapter presents basic results and should be read carefully since it is essential for the understanding of the subsequent chapters. The second chapter is devoted to correlation functions, their applications to stationary processes and some connections to harmonic analysis. In Chapter 3 we deal with several special properties, Chapter 4 is devoted to the extension problem while Chapter 5 contains a few applications. A relatively large appendix comprises topics like infinite products, functional equations, special functions or compact operators. 410 3$aDe Gruyter Studies in Mathematics 606 $aCharacteristic functions 606 $aCorrelation (Statistics) 606 $aVariables (Mathematics) 606 $aMultivariate analysis 610 $aCharacteristic Functions. 610 $aFourier Transform. 610 $aMoment Problem. 610 $aProbability Distribution. 615 0$aCharacteristic functions. 615 0$aCorrelation (Statistics) 615 0$aVariables (Mathematics) 615 0$aMultivariate analysis. 676 $a519.2/32 686 $aSK 800$2rvk 700 $aSasva?ri$b Zolta?n$0522980 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910789087603321 996 $aMultivariate characteristic and correlation functions$9828096 997 $aUNINA