Manifolds of Hilbert space projections
Manifolds of Hilbert space projections
The Hardy space H2 (ℝ) for the upper half-plane together with a multiplicative group of unimodular functions u(λ) = exp(i(λ1ψ1 + … +λnψn)), with λ ∈ ℝn, gives rise to a manifold ℳ of orthogonal projections for the subspaces u(λ) H2 (ℝ) of L2 (ℝ). For classes of admissible functions …