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

We provide an example for the generating matrix $A$ of a two-dimensionallattice $\Gamma = A\mathbb{Z}^2$, such that the following holds: For anysufficiently smooth and localized mother wavelet $\psi$, there is a constant$\beta(A,\psi)>0$, such that $\beta\Gamma\cap (\mathbb{R}\times\mathbb{R}^+)$is a set of stable sampling for the wavelet system generated by $\psi$, for all$0<\beta\leq \beta(A,\psi)$. The result and choice of the generating matrix areloosely inspired by the studies of low discrepancy sequences and uniformdistribution modulo $1$. In particular, we estimate the number of latticepoints contained in any axis parallel rectangle of fixed area. This estimate iscombined with a recent sampling result for continuous wavelet systems, obtainedvia the oscillation method of general coorbit theory.

Rotated time-frequency lattices are sets of stable sampling for continuous wavelet systems