02692nam a2200505 i 4500991003555109707536m o d cr cn ---mpcbr181009s2016 sz | o j |||| 0|eng d978331939780110.1007/978-3-319-39780-1doib14351419-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng515.78523AMS 42-02AMS 47-02AMS 47B65LC QA403-403Jorgensen, Palle785653Extensions of Positive Definite Functions[e-book] :Applications and Their Harmonic Analysis /by Palle Jorgensen, Steen Pedersen, Feng TianCham :Springer International Publishing,20161 online resourcetexttxtrdacontentcomputercrdamediaonline resourcecrrdacarriertext filePDFrdaLecture Notes in Mathematics,0075-8434 ;2160This 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-examplesTopological groupsLie groupsHarmonic analysisFourier analysisFunctional analysisProbabilitiesMathematical physicsPedersen, Steenauthorhttp://id.loc.gov/vocabulary/relators/aut721072Tian, FengSpringer eBooksPrinted edition:9783319397795https://link.springer.com/book/10.1007/978-3-319-39780-1An electronic book accessible through the World Wide Web.b1435141903-03-2209-10-18991003555109707536Extensions of Positive Definite Functions1749136UNISALENTOle01309-10-18m@ -engsz 00