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Special issue dedicated to 130th anniversary of Vladimir I. Smirnov

De Branges spaces and Fock spaces

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Pages 907-930 | Received 25 Sep 2017, Accepted 19 Nov 2017, Published online: 11 Dec 2017

References

  • Seip K. Density theorems for sampling and interpolation in the Bargmann--Fock space, I. J Reine Angew Math. 1992;429:91–106.
  • Borichev A, Dhuez R, Kellay K. Sampling and interpolation in large Bergman and Fock spaces. J Funct Anal. 2007;242:563–606.
  • Bommier-Hato H, Englis M, Youssfi E-H. Bergman-type projections on generalized Fock spaces. J Math Anal Appl. 2012;389:1086–1104.
  • de Branges L. Hilbert spaces of entire functions. Englewood Cliffs (NJ): Prentice Hall; 1968.
  • Lyubarskii YuI, Seip K. Weighted Paley--Wiener spaces. J Amer Math Soc. 2002;15(4):979–1006.
  • Ortega-Cerdà J, Seip K. Fourier frames. Ann Math (2). 2002;155(3):789–806.
  • Havin VP, Mashreghi J. Admissible majorants for model subspaces of H2. Part I: slow winding of the generating inner function, Can J Math. 2003;55(6):1231–1263.
  • Havin VP, Mashreghi J. Admissible majorants for model subspaces of H2. Part II: fast winding of the generating inner function, Can J Math. 2003;55(6):1264–1301.
  • Kaltenbäck M, Woracek H. De Branges spaces of exponential type: general theory of growth. Acta Sci Math Szeged. 2005;71(1–2):231–284.
  • Baranov A, Belov Yu, Borichev A. Spectral synthesis in de Branges spaces. Geom Funct Anal (GAFA). 2015;25(2):417–452.
  • Baranov A, Belov Yu, Borichev A. Riesz bases of reproducing kernels in Fock type spaces and de Branges spaces. Stud Math. 2017;236(2):127–142.
  • Dyakonov KM. Entire functions of exponential type and model subspaces in Hp. Zap Nauchn Sem Leningrad Otdel Mat Inst Steklov (LOMI). 1991;190:81–100; English transl.: J Math Sci. 1994;71:2222--2233.
  • Garnett JB. Bounded analytic functions. New York (NY): Academic Press; 1981.
  • Baranov AD. Bernstein-type inequalities for shift-coinvariant subspaces and their applications to Carleson embeddings. J Funct Anal. 2005;223:116–146.
  • Cohn WS. Carleson measures for functions orthogonal to invariant subspaces. Pacific J Math. 1982;103:347–364.
  • Aleksandrov AB. Embedding theorems for coinvariant subspaces of the shift operator, II. Zap Nauchn Sem Inst Steklov (POMI). 1999;262:5–48; English transl.: J Math Sci. 2002;110:2907--2929.
  • Marzo J, Nitzan S, Olsen JF. Sampling and interpolation in de Branges spaces with doubling phase. J Anal Math. 2012;117(1):365–395.
  • Volberg AL, Treil SR. Embedding theorems for invariant subspaces of the inverse shift operator. Zap Nauchn Sem Inst Steklov (LOMI). 1986;149:38–51; English transl.: J Soviet Math 1988;42:1562--1572.
  • Baranov AD, Borichev AA, Havin VP. Admissible majorants for meromorphic functions with fixed poles. Indiana Univ Math J. 2007;56(4):1595–1628.
  • Belov YuS. Model functions with nearly prescribed modulus. Algebra Anal. 2008;20(2):3–18; English transl.: St Petersburg Math J. 2009;20(2):163--174.
  • Baranov AD. Isometric embeddings of the spaces KΘ in the upper half-plane. J Math Sci. 2001;105(5):2319–2329.

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