Appell sequences, continuous wavelet transforms and series expansions

DOI10.1016/j.acha.2016.01.005zbMath1373.41003OpenAlexW2292891189MaRDI QIDQ2399650

Yanyan Li

Publication date: 24 August 2017

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

Full work available at URL: https://doi.org/10.1016/j.acha.2016.01.005

zbMATH Keywords

GaussianHermite polynomials\(B\)-splineswavelet transformsscale spaceAppell sequences

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spline approximation (41A15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Approximation by other special function classes (41A30) Remainders in approximation formulas (41A80) Other transformations of harmonic type (42C20)

Related Items (2)

Orthogonal polynomials, biorthogonal polynomials and spline functions ⋮ B-spline approximations of the Gaussian, their Gabor frame properties, and approximately dual frames

Cites Work

• Unnamed Item
• Singular integrals, scale-space and wavelet transforms
• Asymptotic properties of \(B\)-splines, Eulerian numbers and cube slicing
• On the convergence of derivatives of B-splines to derivatives of the Gaussian function
• Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
• On Lidstone's Series and Two-Point Expansions of Analytic Functions
• On B-Spline Framelets Derived from the Unitary Extension Principle

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