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Extensions of Positive Definite Func...
~
Tian, Feng.
Extensions of Positive Definite Functions = Applications and Their Harmonic Analysis /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Extensions of Positive Definite Functions/ by Palle Jorgensen, Steen Pedersen, Feng Tian.
Reminder of title:
Applications and Their Harmonic Analysis /
Author:
Jorgensen, Palle.
other author:
Pedersen, Steen.
Description:
XXVI, 231 p. 48 illus., 9 illus. in color.online resource. :
Contained By:
Springer Nature eBook
Subject:
Harmonic analysis. -
Online resource:
https://doi.org/10.1007/978-3-319-39780-1
ISBN:
9783319397801
Extensions of Positive Definite Functions = Applications and Their Harmonic Analysis /
Jorgensen, Palle.
Extensions of Positive Definite Functions
Applications and Their Harmonic Analysis /[electronic resource] :by Palle Jorgensen, Steen Pedersen, Feng Tian. - 1st ed. 2016. - XXVI, 231 p. 48 illus., 9 illus. in color.online resource. - Lecture Notes in Mathematics,21600075-8434 ;. - Lecture Notes in Mathematics,2144.
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
Standard No.: 10.1007/978-3-319-39780-1doiSubjects--Topical Terms:
672073
Harmonic analysis.
LC Class. No.: QA403-403.3
Dewey Class. No.: 515.785
Extensions of Positive Definite Functions = Applications and Their Harmonic Analysis /
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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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