8 papers · 1 filter
The Stockwell transform on Gelfand pairs and localization operators
Claude G. Dosseh, Mawoussi Todjro, Yaogan Mensah
This paper addresses the extension of the Stockwell transform from locally compact abelian groups to Gelfand pairs. A suitable definition of the Stockwell transform is provided in…
Spectral Barron spaces of vector-valued functions on compact groups
Yaogan Mensah, Isiaka Aremua
In this article, we study spectral Barron spaces whose elements are Banach space-valued functions on a compact group whose Fourier transforms admit a certain summability property.…
Spectral Barron spaces arising from quantum harmonic analysis
Yaogan Mensah
In this paper, spectral Barron spaces are defined in the framework of quantum harmonic analysis. Their fundamental properties are studied. These include, among others, their comple…
On quantum Sobolev spaces consisting of Hilbert-Schmidt operators
Anaté K. Lakmon, Yaogan Mensah
In the present paper, we study quantum Sobolev spaces whose elements are operators of the Hilbert-Schmidt class. We construct these Sobolev spaces from the Fourier transform for op…
Vector Fourier analysis on compact groups and Assiamoua spaces
Yaogan Mensah
This paper shows how a family of function spaces (coined as Assiamoua spaces) plays a fundamental role in the Fourier analysis of vector-valued functions compact groups. These spac…
Sobolev spaces of vector-valued functions on compact groups
Yaogan Mensah
This paper deals with a class of Sobolev spaces of vector-valued functions on a compact group. Some Sobolev embedding theorems are proved.