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

### 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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### References

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*Jurnal Matematika MANTIK*,

*6*(2), 114-122. https://doi.org/10.15642/mantik.2020.6.2.114-122

Copyright (c) 2020 Edi Kurniadi, Nurul Gusriani, Betty Subartini

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