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

In this article, we completely characterize the complex symmetry, cyclicityand hypercyclicity of composition operators $C_\phi f=f\circ\phi$ induced byaffine self-maps $\phi$ of the right half-plane $\mathbb{C}_+$ on theHardy-Hilbert space $H^2(\mathbb{C}_+)$. We also provide new proofs for thenormal, self-adjoint and unitary cases and for an adjoint formula discovered byGallardo-Guti\'{e}rrez and Montes-Rodr\'{i}gues.

Complex symmetry and cyclicity of composition operators on $H^2(\mathbb{C}_+)$