Admissibility and frame homotopy for quaternionic frames

DOI10.1016/j.laa.2022.03.023zbMath1492.42037arXiv2108.02275OpenAlexW4221016950MaRDI QIDQ2132518

Tom Needham, Clayton Shonkwiler

Publication date: 28 April 2022

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.02275

zbMATH Keywords

quaternionsframe theoryisotropy representationisoparametric submanifolds

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Inverse problems in linear algebra (15A29) General harmonic expansions, frames (42C15) Global submanifolds (53C40)

Related Items (2)

Toric symplectic geometry and full spark frames ⋮ Fusion frame homotopy and tightening fusion frames by gradient descent

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal simplices and codes in projective spaces
• Constructing all self-adjoint matrices with prescribed spectrum and diagonal
• Equivariant cohomology of quaternionic flag manifolds
• Convexity properties of the moment mapping
• Critical point theory and submanifold geometry
• Optimal frames for erasures.
• Isoparametric submanifolds and their Coxeter groups
• Convexity theorem for isoparametric submanifolds
• The topology of isoparametric submanifolds
• Equal-norm tight frames with erasures
• Torus actions on symplectic manifolds
• Symplectic geometry and connectivity of spaces of frames
• Quaternionic equiangular lines
• Constructing finite frames of a given spectrum and set of lengths
• Discrete frames on finite dimensional left quaternion Hilbert spaces
• The Schur-Horn theorem for operators and frames with prescribed norms and frame operator
• Equivariant cohomology of real flag manifolds
• Probability Theory of Random Polygons from the Quaternionic Viewpoint
• Hypercomplex Fourier Transforms of Color Images
• Designing structured tight frames via an alternating projection method
• Convexity and Commuting Hamiltonians
• On convexity, the Weyl group and the Iwasawa decomposition
• Optimum sequence multisets for synchronous code-division multiple-access channels
• Optimal sequences and sum capacity of synchronous CDMA systems
• Optimal sequences for CDMA under colored noise: a Schur-saddle function property
• Knot types of generalized Kirchhoff rods
• Frames in Quaternionic Hilbert Spaces
• The Toric Geometry of Triangulated Polygons in Euclidean Space
• Topology
• Optimally Sparse Frames
• Connectivity and Irreducibility of Algebraic Varieties of Finite Unit Norm Tight Frames
• Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix
• Quantized frame expansions with erasures
• Quaternions and matrices of quaternions
• On the moduli space of polygons in the Euclidean plane

This page was built for publication: Admissibility and frame homotopy for quaternionic frames