Articles

 

• Finite-dimensional spaces of entire functions (with P. Coren), in preparation, 2025.

•  Contributions to the theory of Omega integration (with T. Amza), in preparation, 2025.

• Reproducing kernel functions in weighted Fock spaces (with Z. Hu and X. Lv),  Ann. Funct. Anal., to appear, 2026.

• In memory of Peter Duren (with J. Brown, M. Chuaqui, T. Ferguson, D. Khavinson, S. Krantz, B. Osgood, and R. Weir), Notices Amer. Math. Soc., 68 (2021), no.8, 1324-1335.

• Bergman spaces with exponential weights (with Zhangjian Hu and Xiaofen Lv), J. Funct. Anal., 276, (2019), no. 5, 1402-1429.

• Sampling with derivatives in the Bergman space (with Jameson Cahill), Sampl. Theory Signal Image Process, 16, (2017), 55--72.

• New estimates for the minimal $\mathbf{L^2}$ solution of $\overline{\partial}$ and applications to geometric function theory in weighted Bergman spaces (with D. Varolin), J. Reine Angew. Math., 691, (2014), 173--201.

• Hankel operators on Fock spaces (with A. Perala and J. Virtanen), Hankel operators on Fock spaces. Concrete operators, spectral theory, operators in harmonic analysis and approximation, 377-390, Oper. Theory Adv. Appl., 236, Birkhäuser/Springer, Basel, 2014.

• Interpolation on non-uniformly separated sequences in a weighted Bergman space (with T. Wertz), J. Egyptian Math. Soc.,  21  (2013), no. 2, 97--102.

• Toeplitz operators and Carleson measures on Generalized Bargmann-Fock spaces (with D. Varolin), Integral Equations and Operator Theory, 72,  (2012), no. 3, 363--392.

• Some properties of the canonical divisor in the Bergman space (with C. Luciano and L. Narins), Int. J. Pure Appl. Math., 48  (2008),  no. 4, 585--594.

• Critical factors in the phylogenetic analysis of human and Neanderthal mitochondrial DNA (with C. Moradi), preprint, 2008.

• Sampling and interpolation for Bergman spaces on Riemann surfaces (with D. Varolin), Rev. Mat. Iberoamericana,  24 (2008), no. 2, 499--530.

• The maximum principle for the Bergman space and the M\"obius pseudodistance for the annulus, Proc. Amer. Math. Soc., 134 (2006), 3525--3530.

• Interpolating and sampling hypersurfaces for the Bargmann-Fock space in higher dimensions (with J. Ortega-Cerd\`a and D. Varolin), Math. Ann., 335 (2006), no. 1, 79--107.

• On uniformly discrete sequences in the disk (with P. Duren and D. Vukotic), Quadrature Domains and Applications, 131--150, Oper. Theory Adv. Appl., 156, Birkh\"auser, Basel, 2005.

• Composition operators on the Fock space (with B. Carswell and B. MacCluer), Acta Math. Sci. (Szeged), 69  (2003),  no. 3-4, 871--887.

• Finite unions of interpolation sequences (with P. Duren), Proc. Amer. Math. Soc., 130 (2002), no. 9, 2609-2615.

• Sampling sequences for Bergman spaces for $p<1$ (with D. Varolin), Complex Variables Theory Appl., 47 (2002), 243-253.

• Multiple interpolation and extremal functions in Bergman spaces (with M. Krosky), J. Anal. Math., 85 (2001) 141-156.

• On Seip's description of sampling sequences in Bergman spaces, Complex Variables Theory Appl., 42 (2000) 347-367.

• Uniform densities of regular sequences in the unit disk (with P. Duren and K. Seip), Trans. Amer. Math. Soc.,  352 (2000), no. 9, 3971--3980.

• Weak conditions for interpolation in holomorphic spaces (with K. Seip), Publ. Math., 44 (2000), 277-293.

• Interpolation by Bloch functions, Ill. J. Math.,  43 (1999), no. 4, 677--691.

• A Carleson-type condition for interpolation in Bergman spaces (with K. Seip), J. Reine Angew. Math.}, 497 (1998), 223-233.

• The homogeneous approximation property in the Bergman space, Houston J. Math., 24 (1998), no. 4, 707-722.

• Sets of sampling and interpolation in Bergman spaces, Proc. Amer. Math. Soc.}, 125 (1997), no. 6, 1717-1725.

• Sets of sampling and interpolation in Bergman spaces, PhD Thesis, University of Michigan, 1997.

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Books

• Bergman Spaces (with P. Duren), American Mathematical Society,  Mathematical Surveys and Monographs Series, Volume 100, Rhode Island, 2004.