On Hull-Minimal Ideals in the Schwartz Algebras of Spherical Functions on a Semi-Simple Lie Group
The hull-minimal ideals are discussed for the Harish-Chandra Schwartz algebra of a connected semi-simple Lie group G. In particular, we construct the basis elements for these ideals, and, when restricted to the Schwartz algebra of r-spherical functions on G, we characterize the hullminimal ideals in...
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2014
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| _version_ | 1810764578358820864 |
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| author | Bassey, U. N. Oyadare, O. O. |
| author_facet | Bassey, U. N. Oyadare, O. O. |
| author_sort | Bassey, U. N. |
| collection | DSpace |
| description | The hull-minimal ideals are discussed for the Harish-Chandra Schwartz algebra of a connected semi-simple Lie group G. In particular, we construct the basis elements for these ideals, and, when restricted to the Schwartz algebra of r-spherical functions on G, we characterize the hullminimal ideals in terms of the cusp forms. |
| format | Article |
| id | oai:ir.oauife.edu.ng:123456789-3469 |
| institution | My University |
| language | English |
| publishDate | 2014 |
| record_format | dspace |
| spelling | oai:ir.oauife.edu.ng:123456789-34692023-05-13T11:11:01Z On Hull-Minimal Ideals in the Schwartz Algebras of Spherical Functions on a Semi-Simple Lie Group Bassey, U. N. Oyadare, O. O. Hull-minimal ideals in Frechet Algebra Frechet Algebra Hull-minimal ideals in L(G) The hull-minimal ideals are discussed for the Harish-Chandra Schwartz algebra of a connected semi-simple Lie group G. In particular, we construct the basis elements for these ideals, and, when restricted to the Schwartz algebra of r-spherical functions on G, we characterize the hullminimal ideals in terms of the cusp forms. 2014-08-29T08:05:17Z 2018-10-29T11:11:25Z 2014-08-29T08:05:17Z 2018-10-29T11:11:25Z 2011 Article Bassey, U. N. and Oyadare, O. O. (2011). On Hull-Minimal Ideals in the Schwartz Algebras of Spherical Functions on a Semi-Simple Lie Group. International Journal of Functional Analysis, Operator Theory and Applications, 3 (1): 37 – 52. http://localhost:8080/xmlui/handle/123456789/3469 en PDF application/pdf |
| spellingShingle | Hull-minimal ideals in Frechet Algebra Frechet Algebra Hull-minimal ideals in L(G) Bassey, U. N. Oyadare, O. O. On Hull-Minimal Ideals in the Schwartz Algebras of Spherical Functions on a Semi-Simple Lie Group |
| title | On Hull-Minimal Ideals in the Schwartz Algebras of Spherical Functions on a Semi-Simple Lie Group |
| title_full | On Hull-Minimal Ideals in the Schwartz Algebras of Spherical Functions on a Semi-Simple Lie Group |
| title_fullStr | On Hull-Minimal Ideals in the Schwartz Algebras of Spherical Functions on a Semi-Simple Lie Group |
| title_full_unstemmed | On Hull-Minimal Ideals in the Schwartz Algebras of Spherical Functions on a Semi-Simple Lie Group |
| title_short | On Hull-Minimal Ideals in the Schwartz Algebras of Spherical Functions on a Semi-Simple Lie Group |
| title_sort | on hull minimal ideals in the schwartz algebras of spherical functions on a semi simple lie group |
| topic | Hull-minimal ideals in Frechet Algebra Frechet Algebra Hull-minimal ideals in L(G) |
| url | http://localhost:8080/xmlui/handle/123456789/3469 |
| work_keys_str_mv | AT basseyun onhullminimalidealsintheschwartzalgebrasofsphericalfunctionsonasemisimpleliegroup AT oyadareoo onhullminimalidealsintheschwartzalgebrasofsphericalfunctionsonasemisimpleliegroup |