Total positivity and refinable functions with general dilation

DOI10.1016/j.acha.2004.01.001zbMath1042.42031OpenAlexW2083423562MaRDI QIDQ1433014

Qiyu Sun, Tim N. T. Goodman

Publication date: 15 June 2004

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2004.01.001

zbMATH Keywords

zeros of polynomialswaveletrefinable functiontotal positivityripplet

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Real polynomials: location of zeros (26C10)

Related Items

Bell-shaped nonstationary refinable ripplets, Generalized Hurwitz matrices, generalized Euclidean algorithm, and forbidden sectors of the complex plane, Local reconstruction for sampling in shift-invariant spaces, Optimally space-localized band-limited wavelets on \(\mathbb {S}^{q-1}\), Proof of a conjecture on the total positivity of amazing matrices, Totally positive refinable functions with general dilation \(M\), Total nonnegativity of finite Hurwitz matrices and root location of polynomials, Phase retrieval of real-valued signals in a shift-invariant space, Total nonnegativity of matrices related to polynomial roots and poles of rational functions, Optimally space localized polynomials with applications in signal processing, Uncertainty principles on compact Riemannian manifolds

Cites Work

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