Y. Mensah
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Vector Fourier analysis on compact groups and Assiamoua spaces
MFAT 30 (2024), no. 3-4, 147-154
147-154
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 on compact groups. These spaces make it possible to transcribe the classical results of Fourier analysis in the framework of analysis of vector-valued functions and vector measures. The construction of Sobolev spaces of vector-valued functions on compact groups rests heavily on the members of the aforementioned family.