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

Let      G = ( R + ∗  ×  S O 0 ( 1 , n ) ) ⋉  R n + 1 G=\left ({\mathbb {R}}^{*}_{+}\times SO_{0}(1, n)\right ) \ltimes {\mathbb {R}}^{n+1}       be the Weyl-Poincar     e ´  \acute e       group and      K A N KAN       be the Iwasawa decomposition of      S O 0 ( 1 , n ) SO_{0}(1, n)       with      K = S O ( n ) K=SO(n)      . Then the “affine Weyl-Poincar     e ´  \acute e       group”      G a = ( R + ∗  ×  A N ) ⋉  R n + 1 G_{a}=\left ({\mathbb {R}}^{*}_{+}\times AN\right ) \ltimes {\mathbb {R}}^{n+1}       can be realized as the complex tube domain      Π  = R n + 1 + i C \Pi ={\mathbb {R}}^{n+1}+iC       or the classical Cartan domain      B D I ( q = 2 ) BDI(q=2)      . The square-integrable representations of      G G       and      G a G_{a}       give the admissible wavelets and wavelet transforms. An orthogonal basis      { ψ  k } \{ \psi _{k}\}       of the set of admissible wavelets associated to      G a G_{a}       is constructed, and it gives an orthogonal decomposition of      L 2 L^{2}       space on      Π  \Pi       (or the Cartan domain      B D I ( q = 2 ) BDI(q=2)      ) with every component      A k A_{k}       being the range of wavelet transforms of functions in      H 2 H^{2}       with      ψ  k \psi _{k}      .

Wavelet transform and orthogonal decomposition of space 𝐿² on the Cartan domain 𝐵𝐷𝐼(𝑞=2)