The construction of \(G\)-invariant finite tight frames

DOI10.1007/s00041-015-9443-9zbMath1353.42029OpenAlexW2284655054MaRDI QIDQ334959

Richard Vale, Shayne F. D. Waldron

Publication date: 1 November 2016

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

Full work available at URL: https://doi.org/10.1007/s00041-015-9443-9

zbMATH Keywords

complex reflection groupfinite tight frameG-invariant framegroup frameorthogonal polynomials on a cubeorthogonal polynomials on a regular polygon

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Actions of groups on commutative rings; invariant theory (13A50) General harmonic expansions, frames (42C15) Approximation by polynomials (41A10) Symmetry properties of polytopes (52B15) Orthogonal polynomials and functions associated with root systems (33C52)

Related Items (7)

Frames generated by compact group actions ⋮ On twisted group frames ⋮ Multiplication-invariant operators and the classification of LCA group frames ⋮ Harmonic cubic homogeneous polynomials such that the norm-squared of the Hessian is a multiple of the Euclidean quadratic form ⋮ Frame vector multipliers for finite group representations ⋮ Frame multiplication theory and a vector-valued DFT and ambiguity function ⋮ Groups with frames of translates

Uses Software

• OEIS

Cites Work

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