EconPapers    
Economics at your fingertips  
 

Characterization of Generators for Multiresolution Analyses with Composite Dilations

Yuan Zhu, Wenjun Gao and Dengfeng Li

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: This paper introduces multiresolution analyses with composite dilations (AB‐MRAs) and addresses frame multiresolution analyses with composite dilations in the setting of reducing subspaces of L2(ℝn) (AB‐RMRAs). We prove that an AB‐MRA can induce an AB‐RMRA on a given reducing subspace L2(S) ∨. For a general expansive matrix, we obtain the characterizations for a scaling function to generate an AB‐RMRA, and the main theorems generalize the classical results. Finally, some examples are provided to illustrate the general theory.

Date: 2011
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2011/850850

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:850850

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().

 
Page updated 2025-03-22
Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:850850