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All Journal Jurnal Matematika: MANTIK
Edi Kurniadi
Universitas Padjadjaran Bandung
Mathematics

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Duflo-Moore Operator for The Square-Integrable Representation of 2-Dimensional Affine Lie Group Edi Kurniadi; Nurul Gusriani; Betty Subartini
Jurnal Matematika MANTIK Vol. 6 No. 2 (2020): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2020.6.2.114-122

Abstract

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.
Co-Authors Betty Subartini Nurul Gusriani