Harmonic Analysis on Semi-simple Lie Groups, Volume 2 |
Contents
Chapter 10 | 156 |
Chapter 9 | 264 |
The Discrete Series for a SemiSimple Lie Group | 281 |
6 other sections not shown
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Common terms and phrases
0-stable Cartan subalgebra 3-finite Amer analytic function Cartan subalgebra Cartan subgroup choose clear continuous function converges Corollary D₁ D₂ defined differential operator exists exp H finite dimensional finite number Fix an element follows Fourier function F function on G given H₁ h₂ Haar measure Harish-Chandra hence holomorphic function Homc invariant integral irreducible representations Iwasawa decomposition k₁ k₂ Lemma Let G Lie algebra linear function locally summable mapping Math moreover n₂ neighborhood non-negative integer non-zero P₁ pair g Plancherel positive roots present number proof of Theorem Proposition reductive Lie algebra representation of G semi-norm semi-simple Lie group subalgebra of g subgroup of G subspace suppose supra topology unitary representation vector Weyl group whence write X₁ zero zonal spherical function юн