Hardy spaces on affine symmetric spaces.
Hardy spaces on two-sheeted covering semigroups.
Harmonic analysis for spinors on real hyperbolic spaces
We develop the L² harmonic analysis for (Dirac) spinors on the real hyperbolic space Hⁿ(ℝ) and give the analogue of the classical notions and results known for functions and differential forms: we investigate the Poisson transform, spherical function theory, spherical Fourier transform and Fourier transform. Very explicit expressions and statements are obtained by reduction to Jacobi analysis on L²(ℝ). As applications, we describe the exact spectrum of the Dirac operator, study the Abel transform...
Holomorphic induction and the tensor product decomposition of irreducible representations of compact groups. I. groups
Homogeneous spaces of compact connected Lie groups which admit nontrivial invariant algebras.
Homomorphisms and extensions of principal series representations.
Hopf mappings for complex quaternions.