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Currently displaying 1 – 4 of 4

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A theorem on functions defined on a semi-group

Arne BEURLING — 1953

Mathematica Scandinavica

Problem 12

ARNE BEURLING — 1955

Mathematica Scandinavica

Construction and analysis of some convolution algebras

Arne Beurling — 1964

Annales de l'institut Fourier

À une famille $Ω$ de fonctions positives $ω$ sur un groupe $G$ abélien localement compact, on associe l’ensemble $A^{2}$ des fonctions qui sont de carré sommable sur $G$ par rapport à $d x / ω (x)$ pour au moins un $ω \in Ω$ . Sous certaines conditions simples, portant sur $Ω$ , c’est une algèbre de convolution, contenue dans $L^{1} (G)$ . On étudie particulièrement le cas $G =$ droite réelle, $Ω =$ ensemble des fonctions paires, sommables, décroissantes sur $] 0, \infty [$ . Une caractérisation explicite de $\tilde{A}$ (ensemble des transformées de Fourier des $f \in A$ ) est alors donnée,...

Fourier-Stieltjes transforms with bounded powers

Henry HELSON; Arne BEURLING — 1953

Mathematica Scandinavica

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