Some of S. Bell's papers

Some of Bell's papers

Another way to express boundary values in terms of holomorphic functions, with Loredana Lanzani and Nathan Wagner, J. Geom. Anal., in press.
https://arxiv.org/abs/2409.06611
Just analysis: The Poisson-Szegö-Bergman kernel, Journal of Geometric Analysis, in press.
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Real algebraic geometry of real algebraic Jordan curves in the plane and the Bergman kernel, Analysis Mathematica, in press.
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Ruminations on Hejhal's theorem about the Bergman and Szegö kernel, with Björn Gustafsson, Analysis and Mathematical Physics, in press.
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Something about Poisson and Dirichlet, Chapter 1 in Encyclopedia of Complex Analysis, Steven G. Krantz, editor, Taylor and Francis.
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The Cauchy integral formula, quadrature domains, and Riemann mapping theorems, Computational Mathematics and Function Theory, 18(4) (2018), 661-676.
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The adjoint of a composition operator via its action on the Szegö kernel, Analysis and Mathematical Physics 8(2) (2018), 221-236, DOI 10.1007/s13324-018-0215-y.
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The Dirichlet and Neumann and Dirichlet-to-Neumann problems in quadrature, double quadrature, and non-quadrature domains, Analysis and Mathematical Physics 5 (2015), 113-135.
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An improved Riemann Mapping Theorem and complexity in potential theory, Arkiv for matematik 51 (2013), 223-249.
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The Szegö kernel and proper holomorphic mappings to a half plane, Computational Methods and Function Theory 11 (2011), No. 1, 179-191.
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Density of Quadrature domains in one and several complex variables, Complex Variables and Elliptic Equations 54 (2009), 165-171.
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Szegö coordinates, quadrature domains, and double quadrature domains, with Björn Gustafsson and Zachary A. Sylvan, Computational Methods and Function Theory 11 (2011), No. 1, 25-44.
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A Riemann mapping theorem for two-connected domains, with Thomas Tegtmeyer and Ersin Deger, Computational Methods and Function Theory 9 (2009), No. 1, 323-334.
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The Green's function and the Ahlfors map, Indiana Univ. Math. J. 57 (2008), 3049-3063.
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The structure of the semigroup of proper holomorphic mappings of a planar domain to the unit disc, Steven R. Bell and Faisal Kaleem, Computational Methods and Function Theory, 8 (2008), 225-242.
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Bergman coordinates, Studia Math. 176 (2006), 69-83.
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The Bergman kernel and quadrature domains, Operator Theory: Advances and Applications 156 (2005), 61-78.
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Quadrature domains and kernel function zipping, Arkiv för matematik 43 (2005), 271-287.
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Möbius transformations, the Carathéodory metric, and the objects of complex analysis and potential theory in multiply connected domains, Michigan Math. J. 51 (2003), 351-362.
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Complexity in complex analysis, Advances in Math. 172 (2002), 15-52.
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Ahlfors maps, the double of a domain, and complexity in potential theory and conformal mapping, Journal d'Analyse Mathematique 78 (1999), 329-344.
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The fundamental role of the Szegö kernel in potential theory and complex analysis, Journal für die reine und angewandte Mathematik 525 (2000), 1-16.
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A Riemann surface attached to domains in the plane and complexity in potential theory, Houston J. Math. 26 (2000), 277-297.
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Finitely generated function fields and complexity in potential theory in the plane, Duke Mathematical Journal 98 (1999), 187-207.
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Recipes for classical kernel functions associated to a multiply connected domain in the plane, Complex Variables Theory and Applications 29 (1996), 367-378.
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Complexity of the classical kernel functions of potential theory, Indiana University Mathematics Journal 44 (1995), 1337-1369.
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Unique continuation theorems for the $\bar\partial$-operator and applications. in J. of Geometric Analysis, 3 (1993), 195-224.
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*Research supported by the National Science Foundation under Grant No. 0305958

*Research supported by NSF grant DMS-0072197

*Research supported by the NSF Analysis and Cyber-enabled Discovery and Innovation programs, grant DMS-1001701