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Extensions of positive definite func...

Jorgensen, Palle.

Extensions of positive definite functionsapplications and their harmonic analysis /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Extensions of positive definite functionsby Palle Jorgensen, Steen Pedersen, Feng Tian.
Reminder of title:	applications and their harmonic analysis /
Author:	Jorgensen, Palle.
other author:	Pedersen, Steen.
Published:	Cham :Springer International Publishing :2016.
Description:	xxvi, 233 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Definite integrals.
Online resource:	http://dx.doi.org/10.1007/978-3-319-39780-1
ISBN:	9783319397801$q(electronic bk.)

Extensions of positive definite functionsapplications and their harmonic analysis /
Jorgensen, Palle.

Extensions of positive definite functionsapplications and their harmonic analysis /[electronic resource] :by Palle Jorgensen, Steen Pedersen, Feng Tian. - Cham :Springer International Publishing :2016. - xxvi, 233 p. :ill. (some col.), digital ;24 cm. - Lecture notes in mathematics,21600075-8434 ;. - Lecture notes in mathematics ;2035..

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.

ISBN: 9783319397801$q(electronic bk.)

Standard No.: 10.1007/978-3-319-39780-1doiSubjects--Topical Terms:

753678
Definite integrals.

LC Class. No.: QA311

Dewey Class. No.: 515.43

Extensions of positive definite functionsapplications and their harmonic analysis /
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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.
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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.
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