Finite frame varieties: Nonsingular points, tangent spaces, and explicit local parameterizations

DOI10.1007/s00041-010-9164-zzbMath1246.42029OpenAlexW2000653081MaRDI QIDQ650088

Nate Strawn

Publication date: 25 November 2011

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-010-9164-z

zbMATH Keywords

Stiefel manifoldlocal coordinatestangent spacefinite framesnonsingular pointsreal and complex Hilbert space

Mathematics Subject Classification ID

Computational aspects of higher-dimensional varieties (14Q15) Special varieties (14M99) General harmonic expansions, frames (42C15) Differentiable manifolds, foundations (58A05) Special matrices (15B99)

Related Items (14)

Toric symplectic geometry and full spark frames ⋮ Constructing all self-adjoint matrices with prescribed spectrum and diagonal ⋮ Towards a classification of incomplete Gabor POVMs in ℂ ^d ⋮ Full spark frames ⋮ Optimal Parseval frames: total coherence and total volume ⋮ Path-connectedness and topological closure of some sets related to the non-compact Stiefel manifold ⋮ Local minimizers of the distances to the majorization flows ⋮ Frame completions with prescribed norms: local minimizers and applications ⋮ Decomposing tensors into frames ⋮ Prime tight frames ⋮ The algebraic matroid of the finite unit norm tight frame (funtf) variety ⋮ Algebraic Geometry and Finite Frames ⋮ Constructing finite frames of a given spectrum and set of lengths ⋮ Generalized frame operator distance problems

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