Duflo-Moore Operator for The Square-Integrable Representation of 2-Dimensional Affine Lie Group
In this paper, we study the quasi-regular and the irreducible unitary representation of affine Lie group of dimension two. First, we prove a sharpening of Fuhr’s work of Fourier transform of quasi-regular representation of . The second, in such the representation of affine Lie group is square-int...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Faculty of Science and Technology, UIN Sunan Ampel Surabaya
2020-10-01
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| Series: | Mantik: Jurnal Matematika |
| Subjects: | |
| Online Access: | http://jurnalsaintek.uinsby.ac.id/index.php/mantik/article/view/928 |
| Summary: | In this paper, we study the quasi-regular and the irreducible unitary representation of affine Lie group of dimension two. First, we prove a sharpening of Fuhr’s work of Fourier transform of quasi-regular representation of . The second, in such the representation of affine Lie group is square-integrable then we compute its Duflo-Moore operator instead of using Fourier transform as in F hr’s work. |
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| ISSN: | 2527-3159 2527-3167 |