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

This paper brings results about the behavior of sequences of eigenvalues orsingular values of integral operators generated by square-integrable kernels onthe real m-dimensional unit sphere, $m\leq2$. Under smoothness assumptions onthe generating kernels, given via Laplace-Beltrami differentiability, we obtainsuper-exponential decay rates for the eigenvalues of the generated positiveintegral operators and for singular values of those integral operators whichare non-positive. We show an optimal-type result and provide a list ofparametric families of kernels which are of interest for numerical analysis andgeostatistical communities and satisfy the smoothness assumptions for thepositive case.

Super-exponential decay rates for eigenvalues and singular values of integral operators on the sphere