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The Pego Theorem for the Hilbert--Schmidt Class
Yaogan Mensah
This paper establishes an operator-theoretic version of Pego's compactness theorem within the framework of quantum harmonic analysis on general locally compact abelian phase spaces…
Pego theorem for Hilbert space-valued functions on compact groups
Anaté Kodjovi Lakmon, Yaogan Mensah
We prove a Hilbert space-valued analogue of Pego's compactness theorem on compact groups. For square-integrable functions taking values in a Hilbert space rather than in the comple…
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.…
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…
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…
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…
Spherical Fourier multipliers related to Gelfand pairs
Yaogan Mensah, Marie Françoise Ouedraogo
In this paper, we introduce a family of Fourier multipliers using the spherical Fourier transform on Gelfand pairs. We refer to them as spherical Fourier multipliers. We study cert…
Weighted Gelfand pairs, weighted spherical Fourier transform and multipliers
Assèkè Y. Tissinam, Abudulaï Issa, Yaogan Mensah
A kind of generalized Gelfand pair is introduced via a Banach algebra consisting of bi-invariant functions in a weighted Lebesgue space. The related spherical functions and the Fou…
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.
Sobolev spaces on hypergroups Gelfand pairs
Ky T. Bataka, Murphy E. Egwe, Yaogan Mensah
This paper introduces Sobolev spaces over Gelfand pairs in the framework of hypergroups. The Sobolev spaces in question are constructed from the Fourier transform on hypergroup Gel…