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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Jorgensen, Palle (Autor), Pedersen, Steen (Autor), Tian, Feng (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:Lecture Notes in Mathematics, 2160
Temas:
Acceso en línea:Texto Completo

MARC

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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. 
250 |a 1st ed. 2016. 
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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 1617-9692 ;  |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 Harmonic analysis. 
650 0 |a Topological groups. 
650 0 |a Lie groups. 
650 0 |a Fourier analysis. 
650 0 |a Functional analysis. 
650 0 |a Mathematical physics. 
650 0 |a Probabilities. 
650 1 4 |a Abstract Harmonic Analysis. 
650 2 4 |a Topological Groups and 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. 
700 1 |a Pedersen, Steen.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Tian, Feng.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9783319397795 
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830 0 |a Lecture Notes in Mathematics,  |x 1617-9692 ;  |v 2160 
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950 |a Mathematics and Statistics (R0) (SpringerNature-43713)