Published papers of David  Singman
George Mason University

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31) Fractal functions with no radial limits in Bergman spaces on trees, with Joel M. Cohen, Flavia Colonna and Massimo A. Picardello, to appear in Vol. 47, No. 2, June, 2018, Hokkaido Mathematical Journal.
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30) Bergman spaces and Carleson measures on homogeneous isotropic trees, with Joel M. Cohen, Flavia Colonna and Massimo A. Picardello,  Potential Analysis, 44 (2016), no. 4, 745-766.
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29)  Carleson and vanishing Carleson measures on radial trees, with Joel Cohen and Flavia Colonna,
Mediterranean Journal of Mathematics, 3 (2013) no. 10, 1233-1256.
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28)  Carleson measures on a homogeneous tree,
with Joel Cohen and Flavia Colonna, Journal of Mathematical Analysis and Applications, 395 (2012), no. 1, 403-412.
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27)  Potential theory on trees and multiplication operators,  Complex Analysis and Potential Theory, CRM Proceedings and Lecture Notes, American Mathematical Society, Providence, RI, 
55 (2012) , 255-281.
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26) Norm of the multiplication operators from H infinity  to the Bloch space of a bounded symmetric domain, with Flavia Colonna and Glenn Easley,  Journal of Mathematical Analysis and Applications, 382 (2011)  621-630.

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25) Biharmonic extensions on trees without positive potentials, with Ibtesam Bajunaid, Joel Cohen and Flavia Colonna,   Journal of Mathematical Analysis and Applications
, 378 (2011) 710-722.
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24) Biharmonic Green functions on homogeneous trees, with Joel Cohen and Flavia Colonna, Mediterranean Journal of Mathematics,
6  (2009), no. 4, 249 - 271.
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23) Classification of harmonic structures on graphs, with Ibtesam Bajunaid, Joel Cohen, Flavia Colonna, Advances in Applied Mathematics 43 (2009), no. 2,  113-136
.
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22) A Riesz decomposition theorem on harmonic spaces without positive potentials, with Ibtesam Bajunaid, Joel Cohen, Flavia Colonna, Hiroshima Math. J.
, 38 (2008), no. 1,  37-50.
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21) A global Riesz decomposition theorem on trees without positive potentials, with Joel Cohen, Flavia Colonna,  J.  London Math. Soc. (2), 75  (2007),  no. 1, 1-17.
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       Corrigendum to "A global Riesz decomposition theorem on trees without positive potentials",   J.  London Math. Soc. (2), 83  (2011),  no. 3, 810.
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20) Function series, Catalan numbers and random walks on trees,  with
Ibtesam Bajunaid, Joel Cohen and Flavia Colonna The American Mathematical Monthly, 112  (2005), 765-785.
This paper was awarded a Lester R. Ford award by the Mathematical Association of America.
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19) Minimal fine limits on trees, with K. GowriSankaran,  Illinois. J. Math.  48 (2004), no. 2, 359-389.
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18) Distributions and Measures on the boundary of a tree, with Joel Cohen and Flavia Colonna,  Journal of Mathematical Analysis and Applications, 293  (2004), no. 1, 89-107.
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17) Trees as Brelot spaces, with Ibtesam Bajunaid, Joel Cohen, Flavia Colonna,  Advances in Applied Mathematics, 30 (2003), no 4, 706-745.
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      Corrigendum to "Trees as Brelot spaces",   Advances in Applied Mathematics, 47 (2011), no 2, 401-402.
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16) Tangential limits of potentials on homogeneous trees, with K. GowriSankaran, Potential analysis, 18 (2003), no 1, 79-96.
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15) Polyharmonic functions on trees, with Joel Cohen, Flavia Colonna, K. GowriSankaran, American Journal of Mathematics, 124 (2002), no 5, 999-1043.
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14) A projection theorem and tangential boundary behavior of potentials, with K. GowriSankaran, Proceedings of the American Mathematical Society, 129 (2001), no 2, 397-405.
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13) Minimal fine  limits for a class of potentials, with K. GowriSankaran, Potential Analysis, 13 (2000), no. 2, 103-114.
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12) Thin sets and boundary behavior of solutions of the Helmholtz equation, with K. GowriSankaran, Potential Analysis, 9 (1998), no. 4, 383-398.
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11) A generalized Littlewood theorem for Weinstein potentials on a halfspace, with K. GowriSankaran, Illinois J. Math41 (1997), no. 4, 630-647.
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10)  Intermittent oscillation and tangential growth of functions with respect to Nagel-Stein regions on a half-space, with Robert Berman, Illinois J. Math., 38 (1994), no. 1, 19-46.
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9)  Lower derivatives of functions of finite variation and generalized BCH sets,  J. Math. Ann. and App.173 (1993), no. 2, 483-496.
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8)  Boundary behavior of positive solutions of the Helmholtz equation and Helmholtz potentials, with Robert Berman, Michigan Math. J., 38 (1991), no. 3, 381-393.
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7)  Generalized local Fatou theorems and area integrals, with B. A. Mair and Stanton Philipp, Trans.  Amer. Math. Soc., 321 (1990), no. 1, 401-413.
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6) A converse Fatou theorem on homogeneous spaces, with B. A. Mair and Stanton Philipp, Illinois J. Math., 33 (1989), no. 4, 643-656.
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5) A converse Fatou theorem, with B. A. Mair and Stanton Philipp, Michigan Math. J.,36 (1989), no. 1, 3-9.
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4)  Boundary behavior of invariant Green's potentials on the unit ball of C^n, with K.T. Hahn, Trans. Amer. Math. Soc.,309 (1988), no. 1, 339-354.
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3)  A generalized Fatou theorem, with B. A. Mair, Trans. Amer. Math. Soc., 300 (1987), no. 2, 705-719.
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2) Removable singularities for n-harmonic functions and Hardy classes in polydiscs, Proc. Amer. Math. Soc., 90 (1984), no. 2, 299-302.
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1) Exceptional sets in a product of harmonic spaces, Math. Annalen, 262 (1983), no. 1, 29-43.
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