Fourier multipliers and Sobolev spaces on homogeneous spaces related to Gelfand pairs.
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| Title: | Fourier multipliers and Sobolev spaces on homogeneous spaces related to Gelfand pairs. |
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| 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] |
| Copyright of International Journal of Geometric Methods in Modern Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 192225737 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Fourier multipliers and Sobolev spaces on homogeneous spaces related to Gelfand pairs. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Mensah%2C+Yaogan%22">Mensah, Yaogan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> mensahyaogan2@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Ouedraogo%2C+Marie+F%2E%22">Ouedraogo, Marie F.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> omfrancoise@yahoo.fr</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Geometric+Methods+in+Modern+Physics%22">International Journal of Geometric Methods in Modern Physics</searchLink>. Apr2026, Vol. 23 Issue 5, p1-14. 14p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Sobolev+spaces%22">Sobolev spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Homogeneous+spaces%22">Homogeneous spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Unitary+groups%22">Unitary groups</searchLink><br /><searchLink fieldCode="DE" term="%22Spherical+functions%22">Spherical functions</searchLink><br /><searchLink fieldCode="DE" term="%22Harmonic+analysis+%28Mathematics%29%22">Harmonic analysis (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Partial+differential+equations%22">Partial differential equations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal of Geometric Methods in Modern Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1142/S0219887825400535 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 14 StartPage: 1 Subjects: – SubjectFull: Sobolev spaces Type: general – SubjectFull: Homogeneous spaces Type: general – SubjectFull: Unitary groups Type: general – SubjectFull: Spherical functions Type: general – SubjectFull: Harmonic analysis (Mathematics) Type: general – SubjectFull: Partial differential equations Type: general Titles: – TitleFull: Fourier multipliers and Sobolev spaces on homogeneous spaces related to Gelfand pairs. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Mensah, Yaogan – PersonEntity: Name: NameFull: Ouedraogo, Marie F. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 04 Text: Apr2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 02198878 Numbering: – Type: volume Value: 23 – Type: issue Value: 5 Titles: – TitleFull: International Journal of Geometric Methods in Modern Physics Type: main |
| ResultId | 1 |
