Publications of Michael Greenblatt

Michael Greenblatt.  Stability of oscillatory integral asymptotics in two dimensions.  J. Geom. Anal., 24(1):417--444, 2014. MR3145929
Michael Greenblatt.  $L^p$ boundedness of maximal averages over hypersurfaces in $\mathbb{R}^3$.  Trans. Amer. Math. Soc., 365(4):1875--1900, 2013. MR3009647
Michael Greenblatt.  $L^p$ boundedness of maximal averages over hypersurfaces in $\mathbb R^3$.  Transactions of the AMS , 365:1875-1900, 2013.
Michael Greenblatt.  Two-dimensional resolution of singularities and fourier transforms of surface measures.  2013.
Michael Greenblatt.  Maximal averages over hypersurfaces and the Newton polyhedron.  J. Funct. Anal., 262(5):2314--2348, 2012. MR2876407
Michael Greenblatt.  Stability of oscillatory integral asymptotics in two dimensions.  Journal of Geometric Analysis, DOI 10.1007/s12220-012-9341-1.  2012.
Michael Greenblatt.  An elementary resolution of singularities algorithm.  2012.
Michael Greenblatt.  Applications of an elementary resolution of singularities algorithm to exponential sums and congruences modulo $p^n$.  2012.
Michael Greenblatt.  Resolution of singularities in two dimensions and the stability of integrals.  Adv. Math., 226(2):1772--1802, 2011. MR2737800
Michael Greenblatt.  Maximal averages over hypersurfaces and the newton polyhedron.  Journal of Functional Analysis, 262(5):35, 2011.
Michael Greenblatt.  Oscillatory integral decay, sublevel set growth, and the Newton polyhedron.  Math. Ann., 346(4):857--895, 2010. MR2587095
Michael Greenblatt.  Resolution of singularities, asymptotic expansions of integrals and related phenomena.  J. Anal. Math., 111:221--245, 2010. MR2747065
Michael Greenblatt.  The asymptotic behavior of degenerate oscillatory integrals in two dimensions.  J. Funct. Anal., 257(6):1759--1798, 2009. MR2540991
Michael Greenblatt.  Simply nondegenerate multilinear oscillatory integral operators with smooth phase.  Math. Res. Lett., 15(4):653--660, 2008. MR2424903
Michael Greenblatt.  An elementary coordinate-dependent local resolution of singularities and applications.  J. Funct. Anal., 255(8):1957--1994, 2008. MR2462583
Michael Greenblatt.  A $T(1)$ theorem for singular Radon transforms.  Math. Ann., 339(3):599--626, 2007. MR2336061
Michael Greenblatt.  An analogue to a theorem of Fefferman and Phong for averaging operators along curves with singular fractional integral kernel.  Geom. Funct. Anal., 17(4):1106--1138, 2007. MR2373012
Michael Greenblatt.  Newton polygons and local integrability of negative powers of smooth functions in the plane.  Trans. Amer. Math. Soc., 358(2):657--670 (electronic), 2006. MR2177034
Christopher Boner, Gregory Godfrey, Thomas Mifflin and Michael Greenblatt.  Detecting terrorist activities in the 21st century: a theory of detection for transactional networks.  In 21st century enabling technologies and policies for counter-terrorism, pages 349-366.  Wiley IEEE , 2006.
Michael Greenblatt.  Stability of sublevel set estimates and sharp $L^ 2$ regularity of Radon transforms in the plane.  Math. Res. Lett., 12(1):1--17, 2005. MR2122725
Michael Greenblatt.  Sharp $L^ 2$ estimates for one-dimensional oscillatory integral operators with $C^ \infty$ phase.  Amer. J. Math., 127(3):659--695, 2005. MR2141648
Michael Greenblatt.  Metrics and smoothing of translation-invariant Radon transforms along curves.  J. Funct. Anal., 206(2):307--321, 2004. MR2021849
Michael Greenblatt.  A direct resolution of singularities for functions of two variables with applications to analysis.  J. Anal. Math., 92:233--257, 2004. MR2072748
Michael Greenblatt.  A method for proving $L^ p$-boundedness of singular Radon transforms in codimension 1.  Duke Math. J., 108(2):363--393, 2001. MR1833395
Michael Greenblatt.  Boundedness of singular Radon transforms on $L^ p$ spaces under a finite-type condition.  Amer. J. Math., 123(6):1009--1053, 2001. MR1867310
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