Jurnal Matematika: MANTIK
Vol. 6 No. 2 (2020): Mathematics and Applied Mathematics

Duflo-Moore Operator for The Square-Integrable Representation of 2-Dimensional Affine Lie Group

Edi Kurniadi (Universitas Padjadjaran Bandung)
Nurul Gusriani (Universitas Padjadjaran Bandung)
Betty Subartini (Universitas Padjadjaran Bandung)

Article Info

Publish Date
31 Oct 2020

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.

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Journal Info
Jurnal Matematika: MANTIK
Website

Abbrev

mantik

Publisher

Universitas Islam Negeri Sunan Ampel

Subject

Mathematics

Description

Jurnal Matematika MANTIK is a mathematical journal published biannually by the Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya. Journal includes research papers, literature studies, analysis, and problem-solving in Mathematics (Algebra, Analysis, Statistics, ...