Geodesic
Fock type spaces with Riesz bases of reproducing kernels and de Branges spaces
Anton Baranov1 ; Yurii Belov2 ; Alexander Borichev3
1Department of Mathematics and Mechanics St. Petersburg State University St. Petersburg, Russia and National Research University Higher School of Economics St. Petersburg, Russia
2Chebyshev Laboratory St. Petersburg State University St. Petersburg, Russia
3Aix-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
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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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     title = {Fock type spaces with {Riesz} bases of reproducing kernels and de {Branges} spaces},
     journal = {Studia Mathematica},
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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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