The harmonic analysis of random functions

1934 ◽  
pp. 163-178
Keyword(s):  
Harmonic Analysis ◽  
Random Functions

Fonctions Certaines Admettant des Répartitions Asymptotiques et Fonctions Aléatoires Stationnaires

1975 ◽  
Vol 12 (S1) ◽  
pp. 177-185
Author(s):  
A. Blanc-Lapierre
Keyword(s):  
Harmonic Analysis ◽  
Random Function ◽  
Random Variables ◽  
Random Variable ◽  
Type A ◽  
Asymptotic Distributions ◽  
Random Functions ◽  
Stationary Random Function ◽  
Translation Parameter ◽  
Character Independence

In the article below, we consider sets of non-random functions of time t admitting certain asymptotic distributions. Purely temporal and deterministic considerations lead us to associate to a set , say, of functions H(t) of this type, a space Ω of samples ω.To each function H(t) ⊂ , there corresponds a random variable h (ω). To the set of translated functions H(t + λ) of a function H(t) ⊂ , there corresponds a stationary random function of the translation parameter λ, say, h(λ, ω). We study the transposition to the set of non-random functions H(t) of such properties as moments, gaussian character, independence, harmonic analysis, and others, of the random variables h (ω) and of the random functions h (λ, ω).Some remarks are made concerning the links between ergodicity and the above problems.

Harmonic analysis of random functions in flotation studies

2017 ◽  
pp. 33-40
Author(s):  
А. М. Arustamyan ◽  
◽  
K. S. Sanakulov ◽  
Keyword(s):  
Harmonic Analysis ◽  
Random Functions

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

2009 ◽  
Author(s):  
Tullio Ceccherini-Silberstein ◽  
Fabio Scarabotti ◽  
Filippo Tolli
Keyword(s):  
Representation Theory ◽  
Harmonic Analysis ◽  
Finite Groups ◽  
Wreath Products

Classical and Multilinear Harmonic Analysis

2009 ◽  
Author(s):  
Camil Muscalu ◽  
Wilhelm Schlag
Keyword(s):  
Harmonic Analysis
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