Some topics on wavelet analysis

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Interpolation between normed linear spaces (46B70)

Cites Work

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Sequence spaces and stability of integer translates
A discrete transform and decompositions of distribution spaces
Local approximation spaces
Free multivariate splines
A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution
A remark on orthonormal bases of compactly supported wavelets in Triebel- Lizorkin spaces. The case \(0<p, q<\infty\)
A general framework of compactly supported splines and wavelets
Wavelets and pre-wavelets in low dimensions
On the construction of multivariate (pre)wavelets
On the degree of nonlinear spline approximation in Besov-Sobolev spaces
Interpolation through an iterative scheme
An Arithmetic Characterization of the Conjugate Quadrature Filters Associated to Orthonormal Wavelet Bases
Spline Representations of Functions in Besov-Triebel-Lizorkin Spaces on ℝ n
A theory for multiresolution signal decomposition: the wavelet representation
Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
Orthonormal bases of compactly supported wavelets
Necessary and sufficient conditions for constructing orthonormal wavelet bases
Stationary subdivision
Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
Image compression through wavelet transform coding
On Compactly Supported Spline Wavelets and a Duality Principle
Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
Compression of Wavelet Decompositions
Biorthogonal bases of compactly supported wavelets
Constructive function theory and spline systems

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