ON THE GROUP SL(2, ℝ) ⋉ ℝ(m,2)

  • Yang, Jae-Hyun (Department of Mathematics Inha University)
  • Published : 2003.09.01


In this paper, we find the unitary dual of the group SL(2,R)(equation omitted)R($^{m,2}$) and study automorphic forms related to the group SL(2,R)(equation omitted)R($^{m, 2}$).).


unitary representations;invariant differential operators;automorphic forms


  1. Biblioteca de la Revista Mathematica Iberoamericana Introduction to the spectral theory of automorphic forms H.Iwaniec
  2. Harmonic analysis on symmetric spaces and applications I A.Terras
  3. Maass-Jacobi forms J.H.Yang
  4. Math. Ann. v.121 Uber eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichlescher Reihen Durch Funktionalgleichung H.Maass
  5. Annals of Math. Studies no.83 Automorphic forms on adele groups S.Gelbart
  6. Acta Math. v.99 Unitary Representations of Group Extensions 1 G.Mackey
  7. MPI-97-17 Invariant differential operators on SP₂×$R^ {(1,2)} J.H.Yang
  8. J. Indian Math. Soc. v.20 Hamonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series A.Selberg
  9. Proc. Sympos. Pure Math. v.XXXⅢ Automorphic forms and automorphic representations A.Borel;H.Jacquet
  10. SL(2.R) S.Lang