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Extensions of positive definite functions[electronic resource] :applications and their harmonic analysis /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	515.43
書名/作者:	Extensions of positive definite functions : applications and their harmonic analysis // by Palle Jorgensen, Steen Pedersen, Feng Tian.
作者:	Jorgensen, Palle.
其他作者:	Pedersen, Steen.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	xxvi, 233 p. : : ill. (some col.), digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Abstract Harmonic Analysis.
標題:	Topological Groups, Lie Groups.
標題:	Fourier Analysis.
標題:	Functional Analysis.
標題:	Mathematical Physics.
標題:	Probability Theory and Stochastic Processes.
標題:	Definite integrals.
標題:	Mathematics.
ISBN:	9783319397801
ISBN:	9783319397795
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-39780-1

Extensions of positive definite functions[electronic resource] :applications 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

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

466398
Abstract Harmonic Analysis.

LC Class. No.: QA311

Dewey Class. No.: 515.43

Extensions of positive definite functions[electronic resource] :applications and their harmonic analysis /
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