Fe b 20 08 A characterization of Schur multipliers between character-automorphic Hardy spaces

@inproceedings{Alpay2008FeB2,
  title={Fe b 20 08 A characterization of Schur multipliers between character-automorphic Hardy spaces},
  author={Daniel Alpay and Mamadou Mboup},
  year={2008}
}
We give a new characterization of character-automorphic Hardy spaces of order 2 and of their contractive multipliers in terms of de Branges Rovnyak spaces. Keys tools in our arguments are analytic extension and a factorization result for matrix-valued analytic functions due to Leech. 

From This Paper

Topics from this paper.
3 Citations
21 References
Similar Papers

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-10 of 21 references

Hp sections of vector bundles over Riemann surfaces

  • H. Widom
  • Ann. of Math. (2),
  • 1971
Highly Influential
4 Excerpts

On the Green’s function of Fuchsian groups

  • Ch. Pommerenke
  • Ann. Acad. Sci. Fenn. Ser. A I Math.,
  • 1976
Highly Influential
6 Excerpts

Algorithme de Schur, espaces à noyau reproduisant et théorie des systèmes, volume 6 of Panoramas et Synthèses

  • D. Alpay
  • Société Mathématique de France,
  • 1998
1 Excerpt

Almost periodic Jacobi matrices with homogeneous spectrum, infinite-dimensional Jacobi inversion, and Hardy spaces of character-automorphic functions

  • M. Sodin, P. Yuditskii
  • J. Geom. Anal.,
  • 1997
1 Excerpt

Analogs of the Nehari and Sarason theorems for character-automorphic functions and some related questions. In Topics in interpolation theory (Leipzig, 1994), volume 95 of Oper

  • S. Kupin, P. Yuditskii
  • Theory Adv. Appl.,
  • 1997
1 Excerpt

On tangential interpolation in reproducing kernel Hilbert space modules and applications

  • D. Alpay, V. Bolotnikov
  • Topics in interpolation theory,
  • 1997
1 Excerpt

Two remarks on Fuchsian groups

  • P. Yuditskii
  • volume 123 of Oper. Theory Adv. Appl.,
  • 1997
1 Excerpt

Some classical problems in the theory of analytic functions in domains of Parreau-Widom type

  • M. V. Samokhin
  • Mat. Sb.,
  • 1991
2 Excerpts

J–contractive matrix functions, reproducing kernel Hilbert spaces and interpolation

  • H. Dym
  • Published for the Conference Board of the…
  • 1989
1 Excerpt

Similar Papers

Loading similar papers…