Department of Mathematics
You are here: CSM > Mathematics > People > Eric L. Grinberg > Publications

Eric L. Grinberg


Ph.D., Mathematics
Harvard University

Contact Information:

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

Fall 2017 Office Hours:

Mon 1:00pm - 2:00pm
Wed 1:00pm - 2:00pm
Fri 1:00pm - 2:00pm
and by appointment

(click on image for larger map)


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.]

  Logo - Mathematics Department Department of Mathematics
University of Massachusetts Boston
Phone: 617-287-6460;   Fax: 617-287-6433