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
Keywords: Affine Lie group, Duflo-Moore operator, Square-integrable representation;

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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CROSSMARK
Published
2020-10-31
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How to Cite
KurniadiE., GusrianiN., & SubartiniB. (2020). Duflo-Moore Operator for The Square-Integrable Representation of 2-Dimensional Affine Lie Group . Jurnal Matematika MANTIK, 6(2), 114-122. https://doi.org/10.15642/mantik.2020.6.2.114-122