LEADER 02692nam a2200505 i 4500 001 991003555109707536 006 m o d 007 cr cn ---mpcbr 008 181009s2016 sz | o j |||| 0|eng d 020 $a9783319397801 024 7 $a10.1007/978-3-319-39780-1$2doi 035 $ab14351419-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 04$a515.785$223 084 $aAMS 42-02 084 $aAMS 47-02 084 $aAMS 47B65 084 $aLC QA403-403 100 1 $aJorgensen, Palle$0785653 245 10$aExtensions of Positive Definite Functions$h[e-book] :$bApplications and Their Harmonic Analysis /$cby Palle Jorgensen, Steen Pedersen, Feng Tian 260 $aCham :$bSpringer International Publishing,$c2016 300 $a1 online resource 336 $atext$btxt$2rdacontent 337 $acomputer$bc$2rdamedia 338 $aonline resource$bcr$2rdacarrier 347 $atext file$bPDF$2rda 490 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2160 520 $aThis monograph deals with the mathematics of extending given partial data-sets obtained from experiments; Experimentalists frequently gather spectral data when the observed data is limited, e.g., by the precision of instruments; or by other limiting external factors. Here the limited information is a restriction, and the extensions take the form of full positive definite function on some prescribed group. It is therefore both an art and a science to produce solid conclusions from restricted or limited data. While the theory of is important in many areas of pure and applied mathematics, it is difficult for students and for the novice to the field, to find accessible presentations which cover all relevant points of view, as well as stressing common ideas and interconnections. We have aimed at filling this gap, and we have stressed hands-on-examples 650 0$aTopological groups 650 0$aLie groups 650 0$aHarmonic analysis 650 0$aFourier analysis 650 0$aFunctional analysis 650 0$aProbabilities 650 0$aMathematical physics 700 1 $aPedersen, Steen$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0721072 700 1 $aTian, Feng 773 0 $aSpringer eBooks 776 08$iPrinted edition:$z9783319397795 856 40$uhttps://link.springer.com/book/10.1007/978-3-319-39780-1$zAn electronic book accessible through the World Wide Web 907 $a.b14351419$b03-03-22$c09-10-18 912 $a991003555109707536 996 $aExtensions of Positive Definite Functions$91749136 997 $aUNISALENTO 998 $ale013$b09-10-18$cm$d@ $e-$feng$gsz $h0$i0