Geodesic
Fock type spaces with Riesz bases of reproducing kernels and de Branges spaces
Anton Baranov1 ; Yurii Belov2 ; Alexander Borichev3
1 Department of Mathematics and Mechanics St. Petersburg State University St. Petersburg, Russia and National Research University Higher School of Economics St. Petersburg, Russia
2 Chebyshev Laboratory St. Petersburg State University St. Petersburg, Russia
3 Aix-Marseille Univ, CNRS, Centrale Marseille, I2M 13453 Marseille, France and Department of Mathematics and Mechanics St. Petersburg State University St. Petersburg, Russia
Studia Mathematica, Tome 236 (2017) no. 2, pp. 127-142

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We describe the radial Fock type spaces which have Riesz bases of normalized reproducing kernels and which are (or are not) isomorphic to de Branges spaces in terms of weight functions.
DOI : 10.4064/sm8504-9-2016
Keywords: describe radial fock type spaces which have riesz bases normalized reproducing kernels which isomorphic branges spaces terms weight functions

Anton Baranov 1 ; Yurii Belov 2 ; Alexander Borichev 3

1 Department of Mathematics and Mechanics St. Petersburg State University St. Petersburg, Russia and National Research University Higher School of Economics St. Petersburg, Russia
2 Chebyshev Laboratory St. Petersburg State University St. Petersburg, Russia
3 Aix-Marseille Univ, CNRS, Centrale Marseille, I2M 13453 Marseille, France and Department of Mathematics and Mechanics St. Petersburg State University St. Petersburg, Russia 
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Anton Baranov; Yurii Belov; Alexander Borichev. Fock type spaces with Riesz bases of reproducing kernels and de Branges spaces. Studia Mathematica, Tome 236 (2017) no. 2, pp. 127-142. doi: 10.4064/sm8504-9-2016

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