Research

05/26/08

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Books:

  • (with J. A. Cima and A. L. Matheson), The Cauchy transform, Surveys and Monographs, Vol. 125, American Mathematical Society, 2006. (link)
  • (with H. S. Shapiro) Generalized analytic continuation, University Lecture Series, Vol. 25, American Mathematical Society, 2002. (link)
  • (with J. A. Cima) The backward shift on the Hardy space, Surveys and Monographs, Vol. 79, American Mathematical Society, 2000. (link)

Research papers

  • (with A. Aleman and N. Feldman), `The Hardy space of a slit domain', preprint.
  • (with J. Cima and W. Wogen), `Truncated Toeplitz operators on finite dimensional spaces', to appear, Operators and Matrices.
  • (with W. Wogen), `Common cyclic vectors for unitary operators’, to appear, Journal of Operator Theory
  • `Indestructible Blaschke products’, to appear, Contemporary Mathematics.
  •  (with A. Matheson), `An observation about Frostman shifts’, Computational Methods and Function Theory, 7 (2007), 111 – 126.
  • `The classical Dirichlet space’, Contemporary Mathematics, 393 (2006), 171 – 197.
  • 'The backward shift on Hp’, Operator Theory, Advances and Applications, 158 (2005), 191 – 211
  • (with J. A. Cima and A. Matheson), `The Cauchy transform’, Operator Theory: Advances and Applications, 156 (2005), 79 – 111.
  • (with S. Richter and C. Sundberg) ‘Zeros of functions with finite Dirichlet integral’, Proceedings of the American Mathematical Society, 132 (2004), 2361 – 2365.
  • (with W. R. Wogen), `Common cyclic vectors for normal operators’, Indiana University Mathematics Journal, 53 (2004), 1537 – 1550.
  • (with J. A. Cima and A. Matheson) `The backward shift on the space of Cauchy transforms’, Proceedings of the American Mathematical Society, 132 (2004), 745 – 754.
  •  (with H. S. Shapiro) `Prolongations and cyclic vectors’, Computational Methods and Function Theory, 3 (2003), 453 – 483.
  • (with A. Aleman and S. Richter) `Pseudo-continuations and the backward shift', Indiana University Mathematics Journal, 47 (1998), 223 - 276.
  • (with A. Aleman) `The backward shift on weighted Bergman spaces', Michigan Mathematics Journal, 43 (1996), 291 - 319.
  •  (with A. Aleman and S. Richter) `Bergman spaces on disconnected domains', Canadian Journal of Mathematics, 48 (1996), 225 - 243.
  •  `Invariant subspaces of the harmonic Dirichlet space with large codimension', Proceedings of the American Mathematical Society, 124 (1996), 1841 - 1846.
  • `Invariant subspaces of Bergman spaces on slit domains', Bulletin of the London Mathematical Society, 26 (1994), 472 - 482.
  • `Analytic Besov spaces and invariant subspaces of Bergman spaces', Indiana University Mathematics Journal, 43 (1994), 1297 - 1319.
  • `An invariant subspace problem for p = 1 Bergman spaces on slit domains', Integral Equations and Operator Theory, 20 (1994), 243 - 248.
  • (with S. Richter and C. Sundberg) `Hyperinvariant subspaces of the harmonic Dirichlet space', Journal fur die reine und angewandte Mathematik, 448 (1994), 1 - 26.
  • (with J. A. Ball) `Weak-star limits of polynomials and their derivatives', Contributions to Operator Theory and its Applications,  Vol. 62, Birkhauser-Verlag, Basel, 1993, 165 – 176.
  • `The commutant of a certain compression', Proceedings of the American Mathematical Society, 118 (1993), 831 - 837.
  • `Analytic continuation in Bergman spaces and the compression of certain Toeplitz operators', Indiana University Mathematics Journal, 40 (1991), 1363 - 1386.

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This site was last updated 05/26/08