Extensions of Positive Definite Functions Applications and Their Harmonic Analysis /

This 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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Jorgensen, Palle (Συγγραφέας), Pedersen, Steen (Συγγραφέας), Tian, Feng (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
Σειρά:Lecture Notes in Mathematics, 2160
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Jorgensen, Palle.  |e author. 
245 1 0 |a Extensions of Positive Definite Functions  |h [electronic resource] :  |b Applications and Their Harmonic Analysis /  |c by Palle Jorgensen, Steen Pedersen, Feng Tian. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2016. 
300 |a XXVI, 231 p. 48 illus., 9 illus. in color.  |b online resource. 
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490 1 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 2160 
520 |a This 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 |a Mathematics. 
650 0 |a Topological groups. 
650 0 |a Lie groups. 
650 0 |a Harmonic analysis. 
650 0 |a Fourier analysis. 
650 0 |a Functional analysis. 
650 0 |a Probabilities. 
650 0 |a Mathematical physics. 
650 1 4 |a Mathematics. 
650 2 4 |a Abstract Harmonic Analysis. 
650 2 4 |a Topological Groups, Lie Groups. 
650 2 4 |a Fourier Analysis. 
650 2 4 |a Functional Analysis. 
650 2 4 |a Mathematical Physics. 
650 2 4 |a Probability Theory and Stochastic Processes. 
700 1 |a Pedersen, Steen.  |e author. 
700 1 |a Tian, Feng.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319397795 
830 0 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 2160 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-39780-1  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
912 |a ZDB-2-LNM 
950 |a Mathematics and Statistics (Springer-11649)