Spectral properties of the transition operator associated to a multivariate refinement equation

DOI10.1016/S0024-3795(99)00027-0zbMath0933.42027WikidataQ127740272 ScholiaQ127740272MaRDI QIDQ1124874

Rong-Qing Jia, Shurong Zhang

Publication date: 29 November 1999

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesinvariant subspacessmoothnessdilation matrixtransition operatorrefinement equationsubdivision operators

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Linear operators on function spaces (general) (47B38)

Related Items

Highly symmetric \(\sqrt{3}\)-refinement bi-frames for surface multiresolution processing ⋮ BIORTHOGONAL WAVELETS WITH SIX-FOLD AXIAL SYMMETRY FOR HEXAGONAL DATA AND TRIANGLE SURFACE MULTIRESOLUTION PROCESSING ⋮ Wavelet bi-frames with uniform symmetry for curve multiresolution processing ⋮ Triangular \(\sqrt 3\)-subdivision schemes: The regular case ⋮ Biorthogonal wavelets with 4-fold axial symmetry for quadrilateral surface multiresolution processing ⋮ \(L_p\) solutions of refinement equations ⋮ Bi-frames with 4-fold axial symmetry for quadrilateral surface multiresolution processing ⋮ Regularity of anisotropic refinable functions ⋮ Designing composite triangular subdivision schemes