All Title Author
Keywords Abstract

Mathematics  2011 

Can any unconditionally convergent multiplier be transformed to have the symbol (1) and Bessel sequences by shifting weights?

DOI: 10.1016/j.jmaa.2012.10.007

Full-Text   Cite this paper   Add to My Lib


Multipliers are operators that combine (frame-like) analysis, a multiplication with a fixed sequence, called the symbol, and synthesis. They are very interesting mathematical objects that also have a lot of applications for example in acoustical signal processing. It is known that bounded symbols and Bessel sequences guarantee unconditional convergence. In this paper we investigate necessary and equivalent conditions for the unconditional convergence of multipliers. In particular we show that, under mild conditions, unconditionally convergent multipliers can be transformed by shifting weights between symbol and sequence, into multipliers with symbol (1) and Bessel sequences.


comments powered by Disqus

Contact Us


微信:OALib Journal