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A 43-minute lecture exploring woven frames in separable Hilbert spaces, presented by Ursula Molter at the Workshop on "Quantum Harmonic Analysis" held at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI) in May 2025. Begin with the finite-dimensional case, focusing on simplifying the problem to bases to obtain a unique characterization. Discover the necessary and sufficient conditions for vector reconstruction applicable to Fourier matrices. Learn how these characterizations extend to the infinite dimensional case for Riesz bases. Explore several results related to weaving Riesz bases of translations. Gain insights into this specialized area of mathematical analysis through this comprehensive academic presentation.
