Signed frames and Hadamard products of Gram matrices

DOI10.1016/S0024-3795(01)00551-1zbMath0999.05014MaRDI QIDQ1611840

Irine Peng, Shayne F. D. Waldron

Publication date: 28 August 2002

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

zbMATH Keywords

Hermitian formsJacobi polynomialsLauricella functionstight frameHadmard products of Gram matricessigned frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) General harmonic expansions, frames (42C15) Bilinear and Hermitian forms (11E39) Appell, Horn and Lauricella functions (33C65) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (14)

On computing all harmonic frames of \(n\) vectors in \(\mathbb {C}^d\) ⋮ WEIGHTED AND CONTROLLED FRAMES: MUTUAL RELATIONSHIP AND FIRST NUMERICAL PROPERTIES ⋮ Spectrum of J-frame operators ⋮ Scalable frames ⋮ On frames for Kreĭn spaces ⋮ Unnamed Item ⋮ Hadamard products and moments of random vectors ⋮ The unconditional constants for Hilbert space frame expansions ⋮ Geometry of the Welch bounds ⋮ A Characterization of Projective Unitary Equivalence of Finite Frames and Applications ⋮ Spectral enclosures for a class of block operator matrices ⋮ Factorable weak operator-valued frames ⋮ Continuous frames in Krein spaces ⋮ Frames in Krein spaces arising from a non-regular \(W\)-metric

Cites Work

• Spherical codes and designs
• Families of Orthogonal and Biorthogonal Polynomials on theN-Sphere
• Ten Lectures on Wavelets
• Quantized overcomplete expansions in IR/sup N/: analysis, synthesis, and algorithms
• Continuous and Discrete Wavelet Transforms
• Polynomials biorthogonal to Appell's polynomials
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