FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2022993606> ?p ?o ?g. }

• W2022993606 endingPage "1156" @default.
• W2022993606 startingPage "1140" @default.
• W2022993606 abstract "In this paper, we discuss stability and linear independence of the integer translates of a scaling vector $Phi =(phi_1,ldots,phi_r)^T$, which satisfies a matrix refinement equation $$Phi(x)=sum_{k=0}^n P_kPhi(2x-k), $$ where $(P_k)$ is a finite matrix sequence. We call $P(z)=frac{1}{2}sum P_kz^k $ the symbol of $Phi$. Stable scaling vectors often serve as generators of multiresolution analyses (MRAs) and therefore play an important role in the study of multiwavelets. Most useful MRA generators are also linearly independent. The purpose of this paper is to characterize stability and linear independence of the integer translates of a scaling vector via its symbol. A polynomial matrix P(z) is said to be two-scale similar to a polynomial matrix Q(z) if there is a polynomial matrix T(z) such that P(z)=T(z2 )Q(z)T-1 (z). This kind of factorization of P(z) is called two-scale factorization. We give a necessary and sufficient condition, in terms of two-scale factorization of the symbol, for stability and linear independence of the integer translates of a scaling vector." @default.
• W2022993606 created "2016-06-24" @default.
• W2022993606 creator A5036807368 @default.
• W2022993606 date "1998-09-01" @default.
• W2022993606 modified "2023-09-27" @default.
• W2022993606 title "Stability and Linear Independence Associated with Scaling Vectors" @default.
• W2022993606 cites W1575011268 @default.
• W2022993606 cites W1593611388 @default.
• W2022993606 cites W1964616461 @default.
• W2022993606 cites W1964715865 @default.
• W2022993606 cites W1968537633 @default.
• W2022993606 cites W1978437745 @default.
• W2022993606 cites W1995068417 @default.
• W2022993606 cites W1995113957 @default.
• W2022993606 cites W1995668896 @default.
• W2022993606 cites W2004766860 @default.
• W2022993606 cites W2026580946 @default.
• W2022993606 cites W2032753235 @default.
• W2022993606 cites W2046680696 @default.
• W2022993606 cites W2074903315 @default.
• W2022993606 cites W2079074323 @default.
• W2022993606 cites W2081635712 @default.
• W2022993606 cites W2109411320 @default.
• W2022993606 cites W2110733303 @default.
• W2022993606 cites W2117886870 @default.
• W2022993606 cites W2123218398 @default.
• W2022993606 cites W2316806696 @default.
• W2022993606 doi "https://doi.org/10.1137/s003614109630330x" @default.
• W2022993606 hasPublicationYear "1998" @default.
• W2022993606 type Work @default.
• W2022993606 sameAs 2022993606 @default.
• W2022993606 citedByCount "23" @default.
• W2022993606 countsByYear W20229936062017 @default.
• W2022993606 crossrefType "journal-article" @default.
• W2022993606 hasAuthorship W2022993606A5036807368 @default.
• W2022993606 hasBestOaLocation W20229936062 @default.
• W2022993606 hasConcept C105795698 @default.
• W2022993606 hasConcept C106487976 @default.
• W2022993606 hasConcept C11413529 @default.
• W2022993606 hasConcept C114614502 @default.
• W2022993606 hasConcept C118615104 @default.
• W2022993606 hasConcept C121332964 @default.
• W2022993606 hasConcept C134306372 @default.
• W2022993606 hasConcept C139018669 @default.
• W2022993606 hasConcept C158693339 @default.
• W2022993606 hasConcept C159985019 @default.
• W2022993606 hasConcept C187834632 @default.
• W2022993606 hasConcept C192562407 @default.
• W2022993606 hasConcept C199360897 @default.
• W2022993606 hasConcept C2524010 @default.
• W2022993606 hasConcept C2778112365 @default.
• W2022993606 hasConcept C33923547 @default.
• W2022993606 hasConcept C35651441 @default.
• W2022993606 hasConcept C41008148 @default.
• W2022993606 hasConcept C54355233 @default.
• W2022993606 hasConcept C54848796 @default.
• W2022993606 hasConcept C62520636 @default.
• W2022993606 hasConcept C62555958 @default.
• W2022993606 hasConcept C86803240 @default.
• W2022993606 hasConcept C90119067 @default.
• W2022993606 hasConcept C97137487 @default.
• W2022993606 hasConcept C99844830 @default.
• W2022993606 hasConceptScore W2022993606C105795698 @default.
• W2022993606 hasConceptScore W2022993606C106487976 @default.
• W2022993606 hasConceptScore W2022993606C11413529 @default.
• W2022993606 hasConceptScore W2022993606C114614502 @default.
• W2022993606 hasConceptScore W2022993606C118615104 @default.
• W2022993606 hasConceptScore W2022993606C121332964 @default.
• W2022993606 hasConceptScore W2022993606C134306372 @default.
• W2022993606 hasConceptScore W2022993606C139018669 @default.
• W2022993606 hasConceptScore W2022993606C158693339 @default.
• W2022993606 hasConceptScore W2022993606C159985019 @default.
• W2022993606 hasConceptScore W2022993606C187834632 @default.
• W2022993606 hasConceptScore W2022993606C192562407 @default.
• W2022993606 hasConceptScore W2022993606C199360897 @default.
• W2022993606 hasConceptScore W2022993606C2524010 @default.
• W2022993606 hasConceptScore W2022993606C2778112365 @default.
• W2022993606 hasConceptScore W2022993606C33923547 @default.
• W2022993606 hasConceptScore W2022993606C35651441 @default.
• W2022993606 hasConceptScore W2022993606C41008148 @default.
• W2022993606 hasConceptScore W2022993606C54355233 @default.
• W2022993606 hasConceptScore W2022993606C54848796 @default.
• W2022993606 hasConceptScore W2022993606C62520636 @default.
• W2022993606 hasConceptScore W2022993606C62555958 @default.
• W2022993606 hasConceptScore W2022993606C86803240 @default.
• W2022993606 hasConceptScore W2022993606C90119067 @default.
• W2022993606 hasConceptScore W2022993606C97137487 @default.
• W2022993606 hasConceptScore W2022993606C99844830 @default.
• W2022993606 hasIssue "5" @default.
• W2022993606 hasLocation W20229936061 @default.
• W2022993606 hasLocation W20229936062 @default.
• W2022993606 hasOpenAccess W2022993606 @default.
• W2022993606 hasPrimaryLocation W20229936061 @default.
• W2022993606 hasRelatedWork W2319091001 @default.
• W2022993606 hasRelatedWork W2321334568 @default.
• W2022993606 hasRelatedWork W2371742721 @default.
• W2022993606 hasRelatedWork W2922370222 @default.
• W2022993606 hasRelatedWork W2995831996 @default.

• next