Abstract
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.
Key words: Assiamoua space, Fourier analysis, compact group, Sobolev space.
Full Text
Article Information
| Title | Vector Fourier analysis on compact groups and Assiamoua spaces |
| Source | Methods Funct. Anal. Topology, Vol. 30 (2024), no. 3-4, 147-154 |
| DOI | 10.31392/MFAT-npu26_3-4.2024.07 |
| Copyright | The Author(s) 2024 (CC BY-SA) |
Authors Information
Yaogan Mensah
Department of Mathematics, University of Lomé, POB 1515 Lomé 1,Togo
Citation Example
Yaogan Mensah, Vector Fourier analysis on compact groups and Assiamoua spaces, Methods Funct. Anal. Topology 30
(2024), no. 3, 147-154.
BibTex
@article {MFAT2108,
AUTHOR = {Yaogan Mensah},
TITLE = {Vector Fourier analysis on compact groups and Assiamoua spaces},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {30},
YEAR = {2024},
NUMBER = {3},
PAGES = {147-154},
ISSN = {1029-3531},
DOI = {10.31392/MFAT-npu26_3-4.2024.07},
URL = {https://mfat.imath.kiev.ua/article/?id=2108},
}
