Bibliographic Details
| Title: |
Fourier multipliers and Sobolev spaces on homogeneous spaces related to Gelfand pairs. |
| Authors: |
Mensah, Yaogan1 (AUTHOR) mensahyaogan2@gmail.com, Ouedraogo, Marie F.2 (AUTHOR) omfrancoise@yahoo.fr |
| Source: |
International Journal of Geometric Methods in Modern Physics. Apr2026, Vol. 23 Issue 5, p1-14. 14p. |
| Subjects: |
Sobolev spaces, Homogeneous spaces, Unitary groups, Spherical functions, Harmonic analysis (Mathematics), Partial differential equations |
| Abstract: |
Let G be a locally compact Hausdorff group and let K be a compact subgroup of G such that (G , K) is a Gelfand pair. This paper is devoted to the study of Fourier multipliers and Sobolev spaces on the homogeneous space G / K. The Fourier multipliers and the Sobolev spaces on G / K are built from a vector-valued Fourier transformation related to unitary representations associated with positive definite spherical functions for the Gelfand pair (G , K). Regarding the Fourier multipliers, we investigate their boundedness while for the Sobolev spaces, we look over continuous embedding results. As an application, we solve the bosonic string equation. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
