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

Let $G$ be a Lie group of dimension $n$, and let $A(G)$ be the Fourieralgebra of $G$. We show that the anti-diagonal$\check{\Delta}_G=\{(g,g^{-1})\in G\times G \mid g\in G\}$ is both a set oflocal smooth synthesis and a set of local weak synthesis of degree at most$[\frac{n}{2}]+1$ for $A(G\times G)$. We achieve this by using the concept ofthe cone property in \cite{ludwig-turowska}. For compact $G$, we give analternative approach to demonstrate the preceding results by applying the ideasdeveloped in \cite{forrest-samei-spronk}. We also present similar results forsets of the form $HK$, where both $H$ and $K$ are subgroups of $G\times G\timesG\times G$ of diagonal forms. Our results very much depend on both thegeometric and the algebraic structure of these sets.

Smooth and weak synthesis of the anti-diagonal in Fourier algebras of Lie groups