Publications

1993

Bourdon P. Invariant manifolds of hypercyclic vectors. Proceedings of the American Mathematical Society. 1993:845–847.

Bourdon P. Fredholm multiplication and composition operators on the Hardy space. Integral Equations and Operator Theory. 1990;13(4):607–610.

Bourdon P, Shapiro J. Cyclic composition operators on H2. In: Proc. Symp. Pure Math. Vols. 51. 1990. pp. 43–53.

Bourdon P, Shapiro J, others. Spectral synthesis and common cyclic vectors.. The Michigan Mathematical Journal. 1990;37(1):71–90.

Bourdon P, Shapiro J, Sledd W. Fourier series, mean Lipschitz spaces, and bounded mean oscillation. Analysis at Urbana. 1989;137:81–110.

Bourdon P, Joseph C. On integrals of Cauchy-Stieltjes type. In: Houston J. Math. Citeseer; 1988.

Axler S, Bourdon P. Finite-codimensional invariant subspaces of Bergman spaces. Transactions of the American Mathematical Society. 1988;306(2):805–817.

Bourdon P. Density of the polynomials in Bergman spaces. Pacific Journal of Mathematics. 1987;130(2):215–221.

Bourdon P. Similarity of parts to the whole for certain multiplication operators. Proceedings of the American Mathematical Society. 1987;99(3):563–567.

Bourdon P, Shang W. Reproducing kernel Hilbert spaces supporting nontrivial Hermitian weighted composition operators. Complex Analysis and Operator Theory. 2013;7(4):965–981.
Axler S, Bourdon P, Wade R. Harmonic Function Theory. Springer Science & Business Media; 2013.
Bourdon P. Spectra of some composition operators and associated weighted composition operators. Journal of Operator Theory. 2012:537–560.
Bourdon P, Narayan S. Normal weighted composition operators on the Hardy space H2(U). Journal of Mathematical Analysis and Applications. 2010;367(1):278–286.