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## Eric L. Grinberg

Professor

Ph.D., Mathematics
Harvard University

Chair
Contact Information:

Office: Science 3-180
Phone: (617) 287-6461
Email: eric.grinberg

Spring 2018 Office Hours:

Mon 4:00pm - 5:00pm
Wed 4:00pm - 5:00pm
Fri 4:00pm - 5:00pm

(click on image for larger map)

Publications:

 2017 On the kernel of the maximal flat Radon transform on symmetric spaces of compact type. Journal of Lie Theory 27 (2017), no. 3, 623--636, [Grinberg, Eric L. and Jackson, Steven Glenn] 2012 Deconvolution for the Pompeiu problem on the Heisenberg group, I. The mathematical legacy of Leon Ehrenpreis, 61--94, Springer Proc. Math., 16, Springer, 2012. [Chang, Der-Chen and Eby, Wayne and Grinberg, Eric] The admissibility theorem for the spatial X-ray transform over the two-element field. The mathematical legacy of Leon Ehrenpreis, 111--123, Springer Proc. Math., 16, Springer, 2012. [Grinberg, Eric] 2010 The Gauss-Bonnet-Grotemeyer theorem in space forms. Inverse Probl. Imaging 4 (2010), no. 4, 655--664, [Grinberg, Eric L. and Li, Haizhong] 2006 Radon inversion: from lines to Grassmannians. Integral geometry and convexity, 37--47, World Sci. Publ., Hackensack, NJ, 2006. [Grinberg, Eric L.] 2004 Radon inversion on Grassmannians via G\aa rding-Gindikin fractional integrals. Ann. of Math. (2) 159 (2004), no. 2, 783--817, [Grinberg, Eric L. and Rubin, Boris] 2001 Inversion of the spherical Radon transform by a Poisson type formula. Radon transforms and tomography (South Hadley, MA, 2000), 137--146, Contemp. Math., 278, Amer. Math. Soc., 2001. [Pesenson, Isaac and Grinberg, Eric L.] Analytic continuation of convex bodies and Funk's characterization of the sphere. Pacific J. Math. 201 (2001), no. 2, 309--322, [Grinberg, Eric L. and Quinto, Eric Todd] 2000 Irregular sampling and the Radon transform. Analysis, geometry, number theory: the mathematics of Leon Ehrenpreis (Philadelphia, PA, 1998), 255--268, Contemp. Math., 251, Amer. Math. Soc., 2000. [Grinberg, Eric and Pesenson, Isaac] Morera theorems for complex manifolds. J. Funct. Anal. 178 (2000), no. 1, 1--22, [Grinberg, Eric L. and Quinto, Eric Todd] 1999 Convolutions, transforms, and convex bodies. Proc. London Math. Soc. (3) 78 (1999), no. 1, 77--115, [Grinberg, Eric and Zhang, Gaoyong] Morera theorems for spheres through a point in $\bold C^N$. Recent developments in complex analysis and computer algebra (Newark, DE, 1997), 267--275, Int. Soc. Anal. Appl. Comput., 4, Kluwer Acad. Publ., 1999. [Grinberg, Eric Liviu and Quinto, Eric Todd] 1996 Why do quaternionic spaces lack complex structures?. New Zealand J. Math. 25 (1996), no. 1, 23--37, [Grinberg, Eric L.] 1994 That kappa operator: Gel\cprime fand-Graev-Shapiro inversion and Radon transforms on isotropic planes. Tomography, impedance imaging, and integral geometry (South Hadley, MA, 1993), 93--104, Lectures in Appl. Math., 30, Amer. Math. Soc., 1994. [Grinberg, E. L.] Integration over minimal spheres in Lie groups and symmetric spaces of compact type. 75 years of Radon transform (Vienna, 1992), 167--174, Conf. Proc. Lecture Notes Math. Phys., IV, Int. Press, Cambridge, MA, 1994. [Grinberg, Eric L.] 1992 Aspects of flat Radon transforms. Geometric analysis (Philadelphia, PA, 1991), 73--85, Contemp. Math., 140, Amer. Math. Soc., 1992. [Grinberg, Eric L.] 1991 Isoperimetric inequalities and identities for $k$-dimensional cross-sections of convex bodies. Math. Ann. 291 (1991), no. 1, 75--86, [Grinberg, Eric L.] 1990 The admissibility theorem for the hyperplane transform over a finite field. J. Combin. Theory Ser. A 53 (1990), no. 2, 316--320, [Grinberg, Eric] Infinitesimal aspects of the Busemann-Petty problem. Bull. London Math. Soc. 22 (1990), no. 5, 478--484, [Grinberg, Eric L. and Rivin, Igor] Admissible complexes for the combinatorial Radon transform. A progress report. Integral geometry and tomography (Arcata, CA, 1989), 1--3, Contemp. Math., 113, Amer. Math. Soc., 1990. [Bolker, Ethan D. and Grinberg, Eric and Kung, Joseph P. S.] 1988 A boundary analogue of Morera's theorem in the unit ball of ${\bf C}^n$. Proc. Amer. Math. Soc. 102 (1988), no. 1, 114--116, [Grinberg, Eric L.] 1987 Euclidean Radon transforms: ranges and restrictions. Integral geometry (Brunswick, Maine, 1984), 109--133, Contemp. Math., 63, Amer. Math. Soc., 1987. [Grinberg, Eric L.] 1986 Radon transforms on higher Grassmannians. J. Differential Geom. 24 (1986), no. 1, 53--68, [Grinberg, Eric L.] 1985 On images of Radon transforms. Duke Math. J. 52 (1985), no. 4, 939--972, [Grinberg, Eric L.] On the smoothness hypothesis in Sard's theorem. Amer. Math. Monthly 92 (1985), no. 10, 733--734, [Grinberg, Eric L.] 1983 Spherical harmonics and integral geometry on projective spaces. Trans. Amer. Math. Soc. 279 (1983), no. 1, 187--203, [Grinberg, Eric L.]

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