The reproducing Kernel thesis for Toeplitz operators on the Paley-Wiener space

Integral Equations and Operator Theory

Volumn 49, Issue 1, 2004, Pages 111-122

  Smith, Martin ^a  

^a UNIVERSITY OF YORK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2442600547     PISSN: 0378620X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00020-002-1205-9     Document Type: Article

References (16)

1. S. Axler, The Bergman Space, the Bloch Space, and Commutators of Multiplication Operators, Duke Math. J. (2) 53 (1986). 315-332.
2. F.F. Bonsall, Boundedness of Hankel Matrices, J. London Math. Soc. (2) 29 (1984), 289-300.
3. F.F. Bonsall, Conditions for boundedness of Hankel matrices, Bull. London Math. Soc. 26 (1994), 171-176.
4. W.F. Donoghue, "Distributions and Fourier Transforms," Academic Press, New York, 1969.
5. p Spaces," Academic Press, New York, 1970.
6. S.H. Ferguson and C. Sadosky, Characterizations of Bounded Mean Oscillation on the Polydisk in terms of Hankel Operators and Carleson Measures, J. Anal.Math., 81 (2000), 239-267.
7. P.R. Halmos, "A Hubert Space Problem Book," Springer-Verlag, New York, 1982.
8. V.P. Havin and N.K. Nikolskii, Stanislav Aleksandrovich Vinogradov, His Life and Mathematics, in Oper. Theory: Adv. Appl., Vol 113, Birkhäuser, Basel-Boston, 2000.
9. J.R. Higgins, "Sampling Theory in Fourier and Signal Analysis," Oxford University Press, Oxford, 1996.
10. Y. Katznelson, "An Introduction to Harmonic Analysis," Dover Publications, New York, 1976.
11. J.R. Partington, "An introduction to Hankel operators," Cambridge University Press, Cambridge, 1988.
12. J.R. Partington, "Interpolation, Identification and Sampling," Oxford University Press, Oxford, 1997.
13. J.R. Partington and G. Weiss, Admissible Observation Operators for the Right-Shift Semigroup, Math. Control Signals Systems 13 (2000), 179-192.
14. S. Pott and C. Sadosky, Bounded Mean Oscillation on the Bidisk and Operator BMO, J. Funct. Anal. 189(2) (2002), 475-495.
15. R. Rochberg, Toeplitz and Hankel Operators on the Paley Wiener Space, Integral Equations Operator Theory 10 (1987), 187-235.
16. N. Young, "An introduction to Hubert space," Cambridge University Press, Cambridge, 1988.