A Relationship Between Harmonic Analysis on SU(2) and on SL(2,C)/SU(2) |
Contents
The Abelian Poisson Summation Formula 9 | 9 |
The Structure of SL2C | 32 |
A Review of Harmonic Analysis on SL2C | 67 |
Common terms and phrases
bi-invariant bump function CALIFORNIA Cartan decomposition Cartan subgroup chapter character compact computation convergence COSV defined denote dense open submanifold diffeomorphism differential dimensional dkM dn dual group E₁ embedded equivariant Euler angle Euler angle map exponential map factor finite Fourier transform G action gH,h Haar measure Harish-Chandra harmonic analysis Helgason 16 homogeneous space invariant measure inversion isomorphism Iwasawa left invariant Lie algebra Lie group logh manifold structure matrix elements obtained overlap maps Poisson summation formula proof quotient representations restricted rotation SAN DIEGO Schwartz function Schwartz space semisimple shows sinh smooth functions sphere spherical functions spiral submanifolds subspace tangent space tempered distributions test functions Theorem tion topological translation unitary V₁ volume form Wallach 36 Warner 38 Weyl covering Weyl integral formula Xn,iw York βα ΚΙΜ