English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Open

Presents the pdf analysis as premium feature

PDF Analysis

Insights

Presents the summarisation as premium feature

Summarisation

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

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

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