Quaternionic Spherical Fourier Multipliers for Gelfand Pairs
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916937051668480 |
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| author | Ariyo, O. A. Egwe, M. E. |
| author_facet | Ariyo, O. A. Egwe, M. E. |
| contents | Let $\mathbb{H}_q$ denote the quaternionic Heisenberg group with $\mathbb{R}^4\times\mathbb{R}^3$ stratification and $K$ a compact subgroup of Automorphism. We construct the spherical Fourier multiplier related to a Gelfand Pairs on the Quaternionic Heisenberg group $\mathbb{H}_q$ via the motion group $G=K\ltimes \mathbb{H}_q$ of $\mathbb{H}_q$, where $K\ltimes \mathbb{H}_q$ is the semidirect product of $\mathbb{H}_q$ and its compact subgroup of automorphism $K\in Aut(\mathbb{H}_q)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05353 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quaternionic Spherical Fourier Multipliers for Gelfand Pairs Ariyo, O. A. Egwe, M. E. Representation Theory Functional Analysis 20F18, 22E25, 42A45, 42B15, 43A22 Let $\mathbb{H}_q$ denote the quaternionic Heisenberg group with $\mathbb{R}^4\times\mathbb{R}^3$ stratification and $K$ a compact subgroup of Automorphism. We construct the spherical Fourier multiplier related to a Gelfand Pairs on the Quaternionic Heisenberg group $\mathbb{H}_q$ via the motion group $G=K\ltimes \mathbb{H}_q$ of $\mathbb{H}_q$, where $K\ltimes \mathbb{H}_q$ is the semidirect product of $\mathbb{H}_q$ and its compact subgroup of automorphism $K\in Aut(\mathbb{H}_q)$. |
| title | Quaternionic Spherical Fourier Multipliers for Gelfand Pairs |
| topic | Representation Theory Functional Analysis 20F18, 22E25, 42A45, 42B15, 43A22 |
| url | https://arxiv.org/abs/2509.05353 |