1.

Record Nr.

UNISALENTO991003555109707536

Autore

Jorgensen, Palle

Titolo

Extensions of Positive Definite Functions [e-book] : Applications and Their Harmonic Analysis / by Palle Jorgensen, Steen Pedersen, Feng Tian

Pubbl/distr/stampa

Cham : Springer International Publishing, 2016

ISBN

9783319397801

Descrizione fisica

1 online resource

Collana

Lecture Notes in Mathematics, 0075-8434 ; 2160

Classificazione

AMS 42-02

AMS 47-02

AMS 47B65

LC QA403-403

Altri autori (Persone)

Pedersen, Steenauthor

Tian, Feng

Disciplina

515.785

Soggetti

Topological groups

Lie groups

Harmonic analysis

Fourier analysis

Functional analysis

Probabilities

Mathematical physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Sommario/riassunto

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