Computing the Sobolev Regularity of Refinable Functions by the Arnoldi Method

DOI10.1137/S0895479899363010zbMath1009.42025MaRDI QIDQ2719202

Amos Ron, Kim-Chuan Toh, Zuowei Shen

Publication date: 21 June 2001

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

waveletsregularitysmoothnesstransfer operatorsArnoldi methodrefinable functionstransition operators

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General harmonic expansions, frames (42C15) Functional equations and inequalities (39B99)

Related Items

Triangular \(\sqrt 3\)-subdivision schemes: The regular case, Smoothness of multivariate refinable functions with infinitely supported masks, Regularity of refinable functions with exponentially decaying masks, The Sobolev regularity of refinable functions, Designing composite triangular subdivision schemes, Convergence of cascade algorithms by frequency approach

Uses Software

• Matlab
• ARPACK
• JDQZ