| | |
| | |
Stat |
Members: 3645 Articles: 2'506'133 Articles rated: 2609
27 April 2024 |
|
| | | |
|
Article overview
| |
|
Generalized low-pass filters and multiresolution analyses | Lawrence W. Baggett
; Veronika Furst
; Kathy D. Merrill
; Judith A. Packer
; | Date: |
10 Dec 2008 | Abstract: | We study generalized filters that are associated to multiplicity functions
and homomorphisms of the dual of an abelian group. These notions are based on
the structure of generalized multiresolution analyses. We investigate when the
Ruelle operator corresponding to such a filter is a pure isometry, and then use
that characterization to study the problem of when a collection of closed
subspaces, which satisfies all the conditions of a GMRA except the trivial
intersection condition, must in fact have a trivial intersection. In this
context, we obtain a generalization of a theorem of Bownik and Rzeszotnik. | Source: | arXiv, 0812.2042 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |