Causality properties of refinable functions and sequences

DOI10.1007/S10444-004-8007-3zbMath1128.65113OpenAlexW2039549254MaRDI QIDQ878091

N. E. Zubov

Publication date: 26 April 2007

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-004-8007-3

zbMATH Keywords

waveletsrefinable functionscausality propertyrefinable sequencesvariation-diminishing

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60)

Related Items (3)

Bell-shaped nonstationary refinable ripplets ⋮ Singular integrals, scale-space and wavelet transforms ⋮ A unified B-spline framework for scale-invariant keypoint detection

Cites Work

• On Polya frequency functions. IV: The fundamental spline functions and their limits
• Uniqueness of the Gaussian Kernel for Scale-Space Filtering
• Scaling Theorems for Zero Crossings
• A Hurwitz Matrix is Totally Positive
• On the asymptotic convergence of B-spline wavelets to Gabor functions
• On Refinement Equations Determined by Pólya Frequency Sequences
• Asymptotic Normality of Scaling Functions
• On Variation-Diminishing Integral Operators of the Convolution Type
• On the Generating Functions of Totally Positive Sequences

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