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＜電子ブック＞
Extensions of Positive Definite Functions : Applications and Their Harmonic Analysis / by Palle Jorgensen, Steen Pedersen, Feng Tian
(Lecture Notes in Mathematics. ISSN:16179692 ; 2160)

版	1st ed. 2016.
出版者	Cham : Springer International Publishing : Imprint: Springer
出版年	2016
本文言語	英語
大きさ	XXVI, 231 p. 48 illus., 9 illus. in color : online resource
著者標目	*Jorgensen, Palle author Pedersen, Steen author Tian, Feng author SpringerLink (Online service)
件　名	LCSH:Harmonic analysis LCSH:Topological groups LCSH:Lie groups LCSH:Fourier analysis LCSH:Functional analysis LCSH:Mathematical physics LCSH:Probabilities FREE:Abstract Harmonic Analysis FREE:Topological Groups and Lie Groups FREE:Fourier Analysis FREE:Functional Analysis FREE:Mathematical Physics FREE:Probability Theory
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-39780-1

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