We characterize the existence of finite tight frames whose frame elements are of predetermined length. In particular, we derive a fundamental inequality which completely characterizes those sequences which arise as the lengths of a tight frame’s elements. Furthermore, using concepts from classical physics, we show that this characterization has an intuitive physical interpretation.
CITATION STYLE
Harmonic Analysis and Applications. (2006). Harmonic Analysis and Applications. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4504-7
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