Radial multiresolution, Cuntz algebras representations and an application to fractals

DOI10.1007/S11785-008-0063-0zbMath1164.42028OpenAlexW2083542354MaRDI QIDQ1024740

Anna Maria Paolucci, Sergio A. Albeverio

Publication date: 17 June 2009

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-008-0063-0

zbMATH Keywords

Hilbert spacesCuntz algebraBessel functionsfractalsiterated function systemsradial multiresolution

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Harmonic analysis on hypergroups (43A62) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Other transforms and operators of Fourier type (43A32) Local and nonlocal bifurcation theory for dynamical systems (37G99) Linear operators in (C^*)- or von Neumann algebras (47C15)

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