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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.

On commutative approximate identities

T. Pytlik (1975)

Studia Mathematica

On Density Properties of Certain Subgroups with Boundedness Conditions.

S.P. Wang (1980)

Monatshefte für Mathematik

On functions with scattered spectra on lea groups

Paweł Głowacki (1981)

Studia Mathematica

On Lp Fourier Multipliers on a Compact Lie-Group.

Lars Vretare (1974)

Mathematica Scandinavica

On Lp Spectral Multipliers for a Solvable Lie Group.

D. Müller, M. Christ (1996)

Geometric and functional analysis

On Positive Definite Measures.

Yasar Ataman (1975)

Monatshefte für Mathematik

On projections of $L^{\infty} (G)$ onto translation-invariant subspaces

W. Chojnacki (1978)

Colloquium Mathematicae

On some classes of Multiplicity Free representations.

Karl-Herrmann Neeb (1997)

Manuscripta mathematica

On some spaces of linear functionals on the algebras $A_{p} (G)$ for locally compact groups

E. E. Granirer (1987)

Colloquium Mathematicae

On some special measures on ßG.

M. Filali (1994)

Semigroup forum

On the Conjugation Representation of a Locally Compact Group.

Eberhard Kaniuth (1989)

Mathematische Zeitschrift

On the Hausdorff-Young Theorem for Amalgams.

John J.F. Fournier (1983)

Monatshefte für Mathematik

On the Hausdorff-Young theorem for commutative hypergroups

Sina Degenfeld-Schonburg (2013)

Colloquium Mathematicae

We study the Hausdorff-Young transform for a commutative hypergroup K and its dual space K̂ by extending the domain of the Fourier transform so as to encompass all functions in $L^{p} (K, m)$ and $L^{p} (K ̂, π)$ respectively, where 1 ≤ p ≤ 2. Our main theorem is that those extended transforms are inverse to each other. In contrast to the group case, this is not obvious, since the dual space K̂ is in general not a hypergroup itself.

On the Property P... of Locally Compact Groups

A. Derighetti (1971)

Commentarii mathematici Helvetici

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