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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

For a pair of reductive groups $G \supset G'$, we prove a geometric criterionfor the space $Sh(\lambda, \nu)$ of Shintani functions to be finite-dimensionalin the Archimedean case.  This criterion leads us to a complete classification of the symmetric pairs$(G,G')$ having finite-dimensional Shintani spaces.  A geometric criterion for uniform boundedness of $dim Sh(\lambda, \nu)$ isalso obtained.  Furthermore, we prove that symmetry breaking operators of the restriction ofsmooth admissible representations yield Shintani functions of moderate growth,of which the dimension is determined for $(G, G') = (O(n+1,1), O(n,1))$.

Shintani functions, real spherical manifolds, and symmetry breaking operators