Primitive tilings and coherent frames

zbMath1478.42033MaRDI QIDQ1980477

Eden P. Miro, Job A. Nable, Luis S. Silvestre

Publication date: 8 September 2021

Published in: Journal of Geometry and Symmetry in Physics (Search for Journal in Brave)

zbMATH Keywords

coherent frameprimitive substitution tiling systemprimitive tiling

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Cites Work

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• Quantization on nilpotent Lie groups
• General concept of quantization
• Wavelet transforms and localization operators
• Space tilings and local isomorphism
• Coherent states, wavelets and their generalizations
• Balian-Low type theorems on homogeneous groups
• Coherent states associated to the Jacobi group -- a variation on a theme by Erich Kähler
• Calculus for Functions of Noncommuting Operators and General Phase-Space Methods in Quantum Mechanics. II. Quantum Mechanics in Phase Space
• Ten Lectures on Wavelets
• Topological invariants for substitution tilings and their associated $C^\ast$-algebras
• Topological equivalence of tilings
• An introduction to frames and Riesz bases

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