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 Plus

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

Zendy Tools

Zendy Open

The de Branges spaces of entire functions generalise the classicalPaley-Wiener space of square summable bandlimited functions. Specifically, thesquare norm is computed on the real line with respect to weights given by thevalues of certain entire functions. For the Paley-Wiener space, this can bechosen to be an exponential function where the phase increases linearly. As ourmain result, we establish a natural geometric characterisation, in terms ofdensities, for real sampling and interpolating sequences in the case when thederivative of the phase function merely gives a doubling measure on the realline. Moreover, a consequence of this doubling condition, is that the spaces weconsider are one component model spaces. A novelty of our work is theapplication to de Branges spaces of techniques developed by Marco, Massanedaand Ortega-Cerd\'a for Fock spaces satisfying a doubling condition analogue toours.

Sampling and interpolation in de Branges spaces with doubling phase