Paley Wiener Theorem on a Reductive Lie Group

Zoto Bi, Neantien Claudio; Kinvi, Kangni

doi:10.28924/2291-8639-22-2024-62

Research Article

Paley Wiener Theorem on a Reductive Lie Group

Neantien Claudio Zoto Bi*
Kangni Kinvi

* Corresponding author

Abstract

Let G be a locally compact group, K a maximal compact subgroup of G and δ on arbitrary class of irreducible unitary representations of K. The spherical Grassmannian G_p,δ is an equivalence class of spherical functions of type δ−positive of height p. In this work, we give an extension of orbital integral with respect to δ, when G is reductive Lie group. Moreover, if the discret serie is not empty, we give an extension of Paley-Wiener theorem using a compact Cartan subgroup of G.

How to Cite

N. C. Zoto Bi, K. Kinvi, Paley Wiener Theorem on a Reductive Lie Group, Int. J. Anal. Appl. 22 (2024), 62. https://doi.org/10.28924/2291-8639-22-2024-62

BibTeX

@article{Bi2024,
  author  = {Zoto Bi, Neantien Claudio and Kinvi, Kangni},
  title   = {Paley Wiener Theorem on a Reductive Lie Group},
  journal = {Int. J. Anal. Appl.},
  volume  = {22},
  year    = {2024},
  pages   = {62},
  doi     = {10.28924/2291-8639-22-2024-62}
}

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