Some of Bell's papers
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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.
-
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.
- 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.
- The Green's function and the Ahlfors map,
Indiana Univ. Math. J. 57 (2008), 3049-3063.
- 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.
- Bergman coordinates, Studia Math. 176 (2006),
69-83.
- The Bergman kernel and quadrature domains,
Operator Theory: Advances and Applications 156 (2005),
61-78.
- Quadrature domains and kernel function zipping,
Arkiv för matematik 43 (2005), 271-287.
- 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.
- Complexity in complex analysis, Advances in
Math. 172 (2002), 15-52.
- Ahlfors maps, the double of a domain, and complexity in
potential theory and conformal mapping, Journal d'Analyse
Mathematique 78 (1999), 329-344.
- The fundamental role of the Szegö kernel in potential theory
and complex analysis, Journal für die reine und
angewandte Mathematik 525 (2000), 1-16.
- A Riemann surface attached to domains in the plane
and complexity in potential theory, Houston J. Math. 26 (2000),
277-297.
- Finitely generated function fields and complexity in potential
theory in the plane, Duke Mathematical Journal 98
(1999), 187-207.
- Recipes for classical kernel functions associated to a
multiply connected domain in the plane, Complex Variables Theory and
Applications 29 (1996), 367-378.
- Complexity of the classical kernel functions of potential
theory, Indiana University Mathematics Journal 44 (1995),
1337-1369.
- Unique continuation theorems for the $\bar\partial$-operator
and applications. in J. of Geometric Analysis, 3 (1993), 195-224.
*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