Aperiodic Coherent Frames Based on Primitive Tilings

• Main Author: Silvestre, Luis Jr.
• Format: text
• Published: Archīum Ateneo 2021
• Subjects: coherent frame, Lie n-group, coherent representation, primitive G-tiling, Q-frame
• Online Access: https://archium.ateneo.edu/theses-dissertations/538
• Institution: Ateneo De Manila University

This thesis investigates aperiodic coherent frames for separable Hilbert spaces. Given a Lie n-group G with coherent representation (π, H) on a Hilbert space H, conditions on subsets ΛG ⊂ G, subsets F ⊂ H, transformations UG on G, and operators UH on H upon which F (UH(F), UG(ΛG)) = {π(λ)f : f ∈ UH(...