On \(L^1\)-solutions of a two-direction refinement equation
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Publication:1018322
DOI10.1016/j.jmaa.2009.01.041zbMath1165.39001OpenAlexW1982206069MaRDI QIDQ1018322
Publication date: 19 May 2009
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.01.041
iterated function systemMarkov operator\(L^1\)-solutionfirst sum rule conditiontwo-direction refinement equation
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On the distribution of a random power series on the dyadic half-line ⋮ A study on orthogonal two-direction vector-valued wavelets and two-direction wavelet packets ⋮ Attractor of Cantor type with positive measure ⋮ Approximation order of two-direction multiscaling functions
Cites Work
- Orthogonal two-direction multiscaling functions
- Probabilistic method for a class of functional-differential equations
- Self-similar measures associated to IFS with non-uniform contraction ratios
- Biorthogonal two-direction refinable function and two-direction wavelet
- Solutions with big graph of homogeneous functional equations in a single variable
- Chaos, fractals, and noise: Stochastic aspects of dynamics.
- On solutions of two-scale difference equations
- Functional equations and distribution functions
- Existence results for refinement equations
- Refinement equations with nonnegative coefficients
- Two-direction refinable functions and two-direction wavelets with dilation factor \(m\)
- Two-direction refinable functions and two-direction wavelets with high approximation order and regularity
- Probability distribution functions of the Grincevičjus series
- Refinement type equations and Grincevičjus series
- Dilation equations and Markov operators
- HAUSDORFF DIMENSION OF SELF-SIMILAR SETS WITH OVERLAPS
- Orthonormal bases of compactly supported wavelets
- On the existence of invariant densities for Markov operators
- Ten Lectures on Wavelets
- Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
- Invariant Probabilities for Certain Markov Processes
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