Department of Mathematics
Recent Publications:
| 2022 | [MR4407619] A gauche perspective on row reduced echelon form and its uniqueness . Amer. Math. Monthly 129 (2022), no. 4, 364--373. --- Grinberg, Eric L. |
| [MR4383578] Nilpotents leave no trace: a matrix mystery for pandemic times . J. Humanist. Math. 12 (2022), no. 1, 139--147. --- Grinberg, Eric L. | |
| 2021 | [MR4224062] A scrapbook of inadmissible line complexes for the X-ray transform . Adv. in Appl. Math. 126 (2021), Paper No. 102028, 17 pp. --- Grinberg, Eric ; Orhon, Mehmet |
| [MR4213577] Morley trisectors and the law of sines with reflections . Amer. Math. Monthly 128 (2021), no. 2, 163--167. --- Grinberg, Eric L. ; Orhon, Mehmet | |
| 2020 | [MR4110528] Admissible complexes for the projective X-ray transform over a finite field . Discrete Comput. Geom. 64 (2020), no. 1, 28--36. --- Feldman, David V. ; Grinberg, Eric L. |
| 2018 | [MR3863615] Comparing volumes by concurrent cross-sections of complex lines: a Busemann-Petty type problem . Positivity 22 (2018), no. 5, 1297--1301. --- Grinberg, Eric L. |
| 2017 | [MR3592283] On the kernel of the maximal flat Radon transform on symmetric spaces of compact type . J. Lie Theory 27 (2017), no. 3, 623--636. --- Grinberg, Eric L. ; Jackson, Steven Glenn |
| 2012 | [MR3289678] Deconvolution for the Pompeiu problem on the Heisenberg group, I . The mathematical legacy of Leon Ehrenpreis, 61--94, Springer Proc. Math., 16, Springer, Milan, 2012. --- Chang, Der-Chen ; Eby, Wayne ; Grinberg, Eric |
| [MR3289680] 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, Milan, 2012. --- Grinberg, Eric L. | |
| 2010 | [MR2726421] The Gauss-Bonnet-Grotemeyer theorem in space forms . Inverse Probl. Imaging 4 (2010), no. 4, 655--664. --- Grinberg, Eric L. ; Li, Haizhong |
| 2006 | [MR2240972] Radon inversion: from lines to Grassmannians . Integral geometry and convexity, 37--47, World Sci. Publ., Hackensack, NJ, 2006. --- Grinberg, Eric L. |
| 2004 | [MR2081440] Radon inversion on Grassmannians via Gårding-Gindikin fractional integrals . Ann. of Math. (2) 159 (2004), no. 2, 783--817. --- Grinberg, Eric L. ; Rubin, Boris |
| 2001 | [MR1851485] 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., Providence, RI, 2001. --- Pesenson, Isaac ; Grinberg, Eric L. |
| [MR1875896] Analytic continuation of convex bodies and Funk's characterization of the sphere . Pacific J. Math. 201 (2001), no. 2, 309--322. --- Grinberg, Eric L. ; Quinto, Eric Todd | |
| 2000 | [MR1771273] 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., Providence, RI, 2000. --- Grinberg, Eric ; Pesenson, Isaac |
| [MR1800789] Morera theorems for complex manifolds . J. Funct. Anal. 178 (2000), no. 1, 1--22. --- Grinberg, Eric L. ; Quinto, Eric Todd | |
| 1999 | [MR1757361] Morera theorems for spheres through a point in CN. . Recent developments in complex analysis and computer algebra (Newark, DE, 1997), 267--275, Int. Soc. Anal. Appl. Comput., 4, Kluwer Acad. Publ., Dordrecht, 1999. --- Grinberg, Eric Liviu ; Quinto, Eric Todd |
| [MR1658156] Convolutions, transforms, and convex bodies . Proc. London Math. Soc. (3) 78 (1999), no. 1, 77--115. --- Grinberg, Eric ; Zhang, Gaoyong | |
| 1996 | [MR1398363] Why do quaternionic spaces lack complex structures? . New Zealand J. Math. 25 (1996), no. 1, 23--37. --- Grinberg, Eric L. |
| 1994 | [MR1297567] That kappa operator: Gel?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., Providence, RI, 1994. --- Grinberg, E. L. |
| [MR1313932] 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 | [MR1197589] Aspects of flat Radon transforms . Geometric analysis (Philadelphia, PA, 1991), 73--85, Contemp. Math., 140, Amer. Math. Soc., Providence, RI, 1992. --- Grinberg, Eric L. |
| 1991 | [MR1125008] Isoperimetric inequalities and identities for k-dimensional cross-sections of convex bodies . Math. Ann. 291 (1991), no. 1, 75--86. --- Grinberg, Eric L. |
| 1990 | [MR1082020] Infinitesimal aspects of the Busemann-Petty problem . Bull. London Math. Soc. 22 (1990), no. 5, 478--484. --- Grinberg, Eric L. ; Rivin, Igor |
| [MR1108639] 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., Providence, RI, 1990. --- Bolker, Ethan D. ; Grinberg, Eric ; Kung, Joseph P. S. | |
| [MR1041451] The admissibility theorem for the hyperplane transform over a finite field . J. Combin. Theory Ser. A 53 (1990), no. 2, 316--320. --- Grinberg, Eric | |
| 1988 | [MR0915726] A boundary analogue of Morera's theorem in the unit ball of Cn . Proc. Amer. Math. Soc. 102 (1988), no. 1, 114--116. --- Grinberg, Eric L. |
| 1987 | [MR0876316] Euclidean Radon transforms: ranges and restrictions . Integral geometry (Brunswick, Maine, 1984), 109--133, Contemp. Math., 63, Amer. Math. Soc., Providence, RI, 1987. --- Grinberg, Eric L. |
| 1986 | [MR0857375] Radon transforms on higher Grassmannians . J. Differential Geom. 24 (1986), no. 1, 53--68. --- Grinberg, Eric L. |
| 1985 | [MR0820057] On the smoothness hypothesis in Sard's theorem . Amer. Math. Monthly 92 (1985), no. 10, 733--734. --- Grinberg, Eric L. |
| [MR0816395] On images of Radon transforms . Duke Math. J. 52 (1985), no. 4, 939--972. --- Grinberg, Eric L. | |
| 1983 | [MR0704609] 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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Department of Mathematics University of Massachusetts Boston Phone: 617-287-6460; Fax: 617-287-6433 Information: math@umb.edu |
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