LEADER 02526nmm a2200385 i 4500 001 991003325769707536 007 cr cn ---mpcbr 008 170207s2014 sz | o j |||| 0|eng d 020 $a9783319026428 (ebook) 024 7 $a10.1007/978-3-319-02642-8$2doi 035 $ab14316298-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 04$a519.2$223 084 $aAMS 60G15 084 $aAMS 60H05 100 1 $aMajor, Péter$048603 245 10$aMultiple Wiener-Itô Integrals$h[e-book] :$bWith Applications to Limit Theorems /$cby Péter Major 250 $a2nd ed. 264 1$aCham :$bSpringer Intern. Publ.,$c2014 300 $a1 online resource 336 $atext$btxt$2rdacontent 337 $acomputer$bc$2rdamedia 338 $aonline resource$bcr$2rdacarrier 347 $atext file$bPDF$2rda 490 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v849 520 $aThe goal of this Lecture Note is to prove a new type of limit theorems for normalized sums of strongly dependent random variables that play an important role in probability theory or in statistical physics. Here non-linear functionals of stationary Gaussian fields are considered, and it is shown that the theory of Wiener-Itô integrals provides a valuable tool in their study. More precisely, a version of these random integrals is introduced that enables us to combine the technique of random integrals and Fourier analysis. The most important results of this theory are presented together with some non-trivial limit theorems proved with their help. This work is a new, revised version of a previous volume written with the goalof giving a better explanation of some of the details and the motivation behind the proofs. It does not contain essentially new results; it was written to give a better insight to the old ones. In particular, a more detailed explanation of generalized fields is included to show that what is at the first sight a rather formal object is actually a useful tool for carrying out heuristic arguments 650 0$aDistribution (Probability theory) 773 0 $aSpringer eBooks 776 0 $aPrinted edition:$z9783319026411 856 40$uhttp://link.springer.com/book/10.1007/978-3-319-02642-8$zAn electronic book accessible through the World Wide 907 $a.b14316298$b03-03-22$c07-02-17 912 $a991003325769707536 996 $aMultiple Wiener-Itô integrals$981079 997 $aUNISALENTO 998 $ale013$b07-02-17$cm$d@ $e-$feng$gsz $h0$i0 LEADER 01412nam 2200481Ia 450 001 9911006579703321 005 20230331005402.0 010 $a1-4356-2967-1 010 $a1-60119-389-0 035 $a(CKB)1000000000385118 035 $a(SSID)ssj0000071654 035 $a(PQKBManifestationID)12006340 035 $a(PQKBTitleCode)TC0000071654 035 $a(PQKBWorkID)10090230 035 $a(PQKB)11062331 035 $a(MiAaPQ)EBC3382324 035 $a(EXLCZ)991000000000385118 100 $a19890707d1989 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aControl of radon in houses$b[electronic resource] $erecommendations of the National Council on Radiation Protection and Measurements 210 $aBethesda, MD $cThe Council$dc1989 215 $avi, 90 p. $cill 225 1 $aNCRP report ;$vno. 103 300 $a"Issued September 1, 1989." 311 $a0-929600-07-X 320 $aIncludes bibliographical references. 410 0$aNCRP report ;$vno. 103. 606 $aRadon mitigation 606 $aRadon$xSafety measures 615 0$aRadon mitigation. 615 0$aRadon$xSafety measures. 676 $a693/.8 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911006579703321 996 $aControl of radon in houses$94390998 997 $aUNINA