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/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The Gel'fand-Shilov spaces of type S are considered as topological algebraswith respect to the Moyal star product and their corresponding algebras ofmultipliers are defined and investigated. In contrast to the well-studied caseof Schwartz's space S, these multipliers are allowed to have nonpolynomialgrowth or infinite order singularities. The Moyal multiplication is therebyextended to certain classes of ultradistributions, hyperfunctions, and analyticfunctionals. The main theorem of the paper characterizes those elements of thedual of a given test function space that are the Moyal multipliers of thisspace. The smallest nontrivial Fourier-invariant space in the scale of S-typespaces is shown to play a special role, because its corresponding Moyalmultiplier algebra contains the largest algebra of functions for which thepower series defining their star products are absolutely convergent.Furthermore, it contains analogous algebras associated with cone-shapedregions, which can be used to formulate a causality condition in quantum fieldtheory on noncommutative space-time.

Moyal multiplier algebras of the test function spaces of type S