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Displaying 141 – 160 of 285

Normes de Sobolev et convoluteurs bornés sur $L^{2} (G)$

P. Jolissaint, A. Valette (1991)

Annales de l'institut Fourier

Un groupe localement compact $G$ muni d’une fonction-longueur $L$ a la propriété $(D R)$ par rapport à $L$ si toute fonction à décroissance rapide sur $G$ définit un convoluteur borné sur $L^{2} (G)$ . Nous donnons une condition suffisante assez générale pour que le couple $(G, L)$ ait la propriété $(D R)$ . Pour un tel couple, nous caractérisons les fonctions de type positif sur $G$ faiblement associées à la représentation régulière gauche et, dans le cas discret, nous considérons les propriétés d’approximation de l’algèbre de Fourier...

Norms of Harmonic Projection Operators on Compact Lie Groups.

Ermanno Giacalone, Fulvio Ricci (1988)

Mathematische Annalen

Noyaux singuliers positifs et ensembles exceptionnels

Peter Sjögren (1974/1975)

Séminaire Choquet. Initiation à l'analyse

Nuclear spaces on a locally compact group

T. Pytlik (1974)

Studia Mathematica

On a class of convolution algebras of functions

Hans G. Feichtinger (1977)

Annales de l'institut Fourier

The Banach spaces $Λ (A, B, X, G)$ defined in this paper consist essentially of those elements of $L^{1} (G)$ ( $G$ being a locally compact group) which can in a certain sense be well approximated by functions with compact support. The main result of this paper is the fact that in many cases $Λ (A, B, X, G)$ becomes a Banach convolution algebra. There exist many natural examples. Furthermore some theorems concerning inclusion results and the structure of these spaces are given. In particular we prove that simple conditions imply the existence...

On a family of weighted convolution algebras.

Feichtinger, Hans G., Gürkanli, A.Turan (1990)

International Journal of Mathematics and Mathematical Sciences

On a family of weighted spaces

R. H. Fischer, Turan A. Gürkanli, T. S. Liu (1996)

Mathematica Slovaca

On a family of Wiener type spaces.

Fischer, R.H., Gürkanli, A.T., Liu, T.S. (1996)

International Journal of Mathematics and Mathematical Sciences

On a New Segal Algebra.

Hans G. Feichtinger (1981)

Monatshefte für Mathematik

On certain porous sets in the Orlicz space of a locally compact group

Ibrahim Akbarbaglu, Saeid Maghsoudi (2012)

Colloquium Mathematicae

Let G be a locally compact group with a fixed left Haar measure. Given Young functions φ and ψ, we consider the Orlicz spaces $L^{φ} (G)$ and $L^{ψ} (G)$ on a non-unimodular group G, and, among other things, we prove that under mild conditions on φ and ψ, the set $(f, g) \in L^{φ} (G) \times L^{ψ} (G) : f * g$ is well defined on G is σ-c-lower porous in $L^{φ} (G) \times L^{ψ} (G)$ . This answers a question raised by Głąb and Strobin in 2010 in a more general setting of Orlicz spaces. We also prove a similar result for non-compact locally compact groups.