3 papers
math.FA2025
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…
math.FA2025
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…
math.FA2024
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…