Matrix refinement type equations

DOI10.1016/j.amc.2011.03.015zbMath1218.15018OpenAlexW2024715481MaRDI QIDQ545975

Janusz Morawiec, Rafał Kapica

Publication date: 24 June 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.015

zbMATH Keywords

perpetuitiesproducts of random matricesiterative equations\(\mathbb L^1\)-solutions

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Random matrices (algebraic aspects) (15B52)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The spectral radius of matrix continuous refinement operators
• Dual multiwavelet frames with symmetry from two-direction refinable functions
• Orthogonal two-direction multiscaling functions
• Refinement equations and spline functions
• Classification of refinable splines
• Perfect sampling from the limit of deterministic products of stochastic matrices
• Random difference equations and renewal theory for products of random matrices
• Fractal functions and wavelet expansions based on several scaling functions
• Spectral properties of matrix continuous refinement operators
• Matrix refinement equations: existence and uniqueness
• Stability of perpetuities
• On the asymptotics of the binary partition function
• Generalized refinement equations and subdivision processes
• Continuous two-scale equations and dyadic wavelets
• Two-direction refinable functions and two-direction wavelets with dilation factor \(m\)
• Construction of biorthogonal two-direction refinable function and two-direction wavelet with dilation factorm
• Random variable dilation equation and multidimensional prescale functions
• On a stochastic difference equation and a representation of non–negative infinitely divisible random variables
• Convergence in distribution of products of random matrices
• Stationary subdivision
• Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
• Ten Lectures on Wavelets
• On the Continuity of the Distribution of a Sum of Dependent Variables Connected with Independent Walks on Lines
• Convergence of products of independent random variables with values in a discrete semigroup
• Wavelets of Multiplicity r
• A construction of multiresolution analysis by integral equations