Edit Profile (opens in new tab) Gardner, Richard J. Co-Author Distance Author ID: gardner.richard-j Published as: Gardner, R. J.; Gardner, Richard J.; Gardner, R.; Gardner, Richard more...less Documents Indexed: 106 Publications since 1974, including 6 Books and 2 Additional arXiv Preprints Co-Authors: 58 Co-Authors with 76 Joint Publications 1,291 Co-Co-Authors all top 5 Co-Authors 28 single-authored 11 Gronchi, Paolo 9 Pfeffer, Washek Frank 7 Kiderlen, Markus 6 Bianchi, Gabriele 5 Gritzmann, Peter 5 Hug, Daniel 5 Volčič, Aljoša 4 Dulio, Paolo 4 Peri, Carla 4 Weil, Wolfgang 3 Campi, Stefano 3 Milanfar, Peyman 3 Vassallo, Salvatore 3 Ye, Deping 2 Gallivan, Steve 2 Gruenhage, Gary F. 2 Koldobsky, Alexander L. 2 Laurie, Dirk P. 2 Mauldin, Richard Daniel 2 Prangenberg, D. 2 Schlumprecht, Thomas 2 Watkins, Gavin G. 2 Xing, Sudan 2 Zvavitch, Artem 1 Alpers, Andreas 1 Batenburg, Kees Joost 1 Ben-Israel, Adi 1 Bloom, Walter R. 1 Boothroyd, Chris B. 1 Brown, Jack Bethel 1 Carney, N. 1 Dunin-Borkowski, Rafal E. 1 Giannopoulos, Apostolos A. 1 Hales, Al 1 Hartenstine, David A. 1 Hawkes, John 1 Houben, Lothar 1 Kallay, Michael 1 Keaton, Rodney 1 König, Stefan 1 Kwapień, Stanisław 1 Laczkovich, Miklós 1 Longinetti, Marco 1 McMullen, Peter 1 Morse, Bryan S. 1 Parapatits, Lukas 1 Pennington, Robert S. 1 Pizer, Stephen M. 1 Poonawala, Amyn 1 Powers, A. 1 Ryabogin, Dmitry 1 Scharlach, Christine 1 Schuster, Franz E. 1 Sgheri, Luca 1 Soranzo, Alessandro 1 Spencer, Joel H. 1 Tao, Terence 1 Theobald, Thorsten 1 Vedel Jensen, Eva Bjørn 1 Wagon, Stan 1 Yaskin, Vladyslav 1 Zhang, Gaoyong 1 Zlobec, Sanjo 1 Zong, Chuanming all top 5 Serials 8 Advances in Mathematics 8 Transactions of the American Mathematical Society 6 Journal of the London Mathematical Society. Second Series 6 Discrete & Computational Geometry 4 Indiana University Mathematics Journal 4 Proceedings of the American Mathematical Society 3 Journal of Mathematical Analysis and Applications 3 Geometriae Dedicata 3 Mathematika 3 Notices of the American Mathematical Society 2 Journal of Differential Geometry 2 Atti del Seminario Matematico e Fisico dell’Università di Modena 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Mathematical Imaging and Vision 2 Calculus of Variations and Partial Differential Equations 2 Annals of Mathematics. Second Series 2 Encyclopedia of Mathematics and Its Applications 1 American Mathematical Monthly 1 Discrete Mathematics 1 Houston Journal of Mathematics 1 Inverse Problems 1 Russian Mathematical Surveys 1 Arkiv för Matematik 1 American Journal of Mathematics 1 The Annals of Probability 1 The Annals of Statistics 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Fundamenta Mathematicae 1 Illinois Journal of Mathematics 1 Journal of Approximation Theory 1 Journal of Optimization Theory and Applications 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Quaestiones Mathematicae 1 Real Analysis Exchange 1 Theoretical Computer Science 1 Advances in Applied Mathematics 1 Journal of the American Mathematical Society 1 SIAM Journal on Discrete Mathematics 1 Bulletin de l’Académie Polonaise des Sciences. Série des Sciences Mathématiques 1 Communications in Analysis and Geometry 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of the European Mathematical Society (JEMS) 1 Proceedings of the Cambridge Philosophical Society 1 Proceedings of the Steklov Institute of Mathematics 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova all top 5 Fields 66 Convex and discrete geometry (52-XX) 26 Measure and integration (28-XX) 13 General topology (54-XX) 13 Biology and other natural sciences (92-XX) 9 Computer science (68-XX) 8 Integral transforms, operational calculus (44-XX) 7 Mathematical logic and foundations (03-XX) 7 Numerical analysis (65-XX) 5 Combinatorics (05-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Differential geometry (53-XX) 4 Probability theory and stochastic processes (60-XX) 4 Operations research, mathematical programming (90-XX) 3 Real functions (26-XX) 3 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Geometry (51-XX) 3 Statistics (62-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Approximations and expansions (41-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 81 Publications have been cited 2,424 times in 1,305 Documents Cited by ▼ Year ▼ Geometric tomography. 2nd ed. Zbl 1102.52002 Gardner, Richard J. 398 2006 The Brunn-Minkowski inequality. Zbl 1019.26008 Gardner, R. J. 382 2002 An analytic solution to the Busemann-Petty problem on sections of convex bodies. Zbl 0937.52003 Gardner, R. J.; Koldobsky, A.; Schlumprecht, T. 141 1999 The Orlicz-Brunn-Minkowski theory: a general framework, additions, and inequalities. Zbl 1303.52002 Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang 132 2014 A positive answer to the Busemann-Petty problem in three dimensions. Zbl 0826.52010 Gardner, R. J. 129 1994 Geometric tomography. Zbl 0864.52001 Gardner, Richard J. 110 1995 Intersection bodies and the Busemann-Petty problem. Zbl 0801.52005 Gardner, R. J. 83 1994 Geometric tomography. Zbl 1042.52501 Gardner, R. J. 72 1995 Affine inequalities and radial mean bodies. Zbl 0908.52001 Gardner, R. J.; Zhang, Gaoyong 69 1998 The dual Orlicz-Brunn-Minkowski theory. Zbl 1320.52008 Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang; Ye, Deping 63 2015 Discrete tomography: Determination of finite sets by X-rays. Zbl 0873.52015 Gardner, R. J.; Gritzmann, Peter 61 1997 Operations between sets in geometry. Zbl 1282.52006 Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang 49 2013 On the computational complexity of reconstructing lattice sets from their \(X\)-rays. Zbl 0947.68160 Gardner, R. J.; Gritzmann, P.; Prangenberg, D. 47 1999 General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. I. Zbl 1404.52004 Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang; Xing, Sudan; Ye, Deping 46 2019 The dual Brunn-Minkowski theory for bounded Borel sets: dual affine quermassintegrals and inequalities. Zbl 1126.52008 Gardner, R. J. 45 2007 A Brunn-Minkowski inequality for the integer lattice. Zbl 0977.52019 Gardner, R. J.; Gronchi, P. 44 2001 Gaussian Brunn-Minkowski inequalities. Zbl 1205.52002 Gardner, Richard J.; Zvavitch, Artem 36 2010 General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. II. Zbl 1430.52001 Gardner, Richard J.; Hug, Daniel; Xing, Sudan; Ye, Deping 32 2020 Convergence of algorithms for reconstructing convex bodies and directional measures. Zbl 1097.52503 Gardner, Richard J.; Kiderlen, Markus; Milanfar, Peyman 27 2006 On Hammer’s X-ray problem. Zbl 0417.52005 Gardner, R. J.; McMullen, P. 26 1980 Tomography of convex and star bodies. Zbl 0831.52002 Gardner, R. J.; Volčič, A. 26 1994 The regularity of Borel measures and Borel measure-compactness. Zbl 0294.28001 Gardner, R. J. 23 1975 Sums, projections, and sections of lattice sets, and the discrete covariogram. Zbl 1093.52008 Gardner, Richard J.; Gronchi, Paolo; Zong, Chuanming 23 2005 Symmetrization in geometry. Zbl 1366.52003 Bianchi, Gabriele; Gardner, Richard J.; Gronchi, Paolo 22 2017 Borel measures. Zbl 0593.28016 Gardner, R. J.; Pfeffer, W. F. 21 1984 \(p\)-cross-section bodies. Zbl 0935.52007 Gardner, R. J.; Giannopoulos, A. A. 20 1999 Uniqueness and complexity in discrete tomography. Zbl 0964.65146 Gardner, Richard J.; Gritzmann, Peter 19 1999 On the Busemann-Petty problem concerning central sections of centrally symmetric convex bodies. Zbl 0814.52003 Gardner, R. J. 19 1994 Symmetrals and X-rays of planar convex bodies. Zbl 0516.52003 Gardner, R. J. 16 1983 On the computational complexity of determining polyatomic structures by X-rays. Zbl 1005.82035 Gardner, R. J.; Gritzmann, P.; Prangenberg, D. 15 2000 Ridges for image analysis. Zbl 1433.68466 Eberly, D.; Gardner, R.; Morse, B.; Pizer, S.; Scharlach, C. 14 1994 Geometric tomography and local stereology. Zbl 1034.52007 Gardner, R. J.; Jensen, Eva B. Vedel; Volčič, A. 13 2003 A characterization of Blaschke addition. Zbl 1291.52011 Gardner, Richard J.; Parapatits, Lukas; Schuster, Franz E. 12 2014 Regions of stability for arbitrarily perturbed convex programs. Zbl 0494.49027 Zlobec, Sanjo; Gardner, R.; Ben-Israel, Adi 11 1982 Capacities, surface area, and radial sums. Zbl 1163.52001 Gardner, Richard J.; Hartenstine, David 11 2009 Characterizing the dual mixed volume via additive functionals. Zbl 1352.52008 Dulio, Paolo; Gardner, Richard; Peri, Carla 11 2016 Reverse and dual Loomis-Whitney-type inequalities. Zbl 1335.52007 Campi, Stefano; Gardner, Richard J.; Gronchi, Paolo 11 2016 The Eneström-Kakeya theorem for polynomials of a quaternionic variable. Zbl 1441.30070 Carney, N.; Gardner, R.; Keaton, R.; Powers, A. 11 2020 Reconstruction of convex bodies from brightness functions. Zbl 1035.52001 Gardner, R. J.; Milanfar, Peyman 10 2003 A solution to Hammer’s X-ray reconstruction problem. Zbl 1125.52001 Gardner, Richard J.; Kiderlen, Markus 9 2007 Stability of inequalities in the dual Brunn-Minkowski theory. Zbl 0926.52010 Gardner, R. J.; Vassallo, S. 7 1999 Une solution analytique au problème de Busemann-Petty. (An analytic solution to the Busemann-Petty problem.) Zbl 0929.52004 Gardner, Richard J.; Koldobsky, Alexander; Schlumprecht, Thomas 6 1999 On the determination of star and convex bodies by section functions. Zbl 0923.52003 Gardner, R. J.; Soranzo, A.; Volčič, A. 6 1999 Inequalities for dual isoperimetric deficits. Zbl 0959.52006 Gardner, R. J.; Vassallo, S. 6 1998 Chord functions of convex bodies. Zbl 0634.52003 Gardner, R. J. 6 1987 Successive determination and verification of polytopes by their X-rays. Zbl 0813.52012 Gardner, R. J.; Gritzmann, Peter 6 1994 From computerized to geometric and discrete tomography. Zbl 0940.65148 Gardner, R. J. 5 1999 The Brunn-Minkowski inequality, Minkowski’s first inequality, and their duals. Zbl 0959.52007 Gardner, R. J.; Vassallo, S. 5 2000 Discrete point X-rays. Zbl 1114.52003 Dulio, Paolo; Gardner, Richard J.; Peri, Carla 5 2006 The regularity of Borel measures. Zbl 0487.28012 Gardner, R. J. 5 1982 On the Hausdorff dimension of a set of complex continued fractions. Zbl 0492.10042 Gardner, R. J.; Mauldin, R. D. 5 1983 X-rays of polygons. Zbl 0748.52003 Gardner, R. J. 5 1992 A problem of Klee on inner section functions of convex bodies. Zbl 1255.52005 Gardner, Richard J.; Ryabogin, Dmitry; Yaskin, Vlad; Zvavitch, Artem 5 2012 Phase retrieval for characteristic functions of convex bodies and reconstruction from covariograms. Zbl 1283.42014 Bianchi, Gabriele; Gardner, Richard J.; Kiderlen, Markus 5 2011 Convex bodies with similar projections. Zbl 0806.52005 Gardner, R. J.; Volčič, A. 4 1994 Shape estimation from support and diameter functions. Zbl 1478.94075 Poonawala, Amyn; Milanfar, Peyman; Gardner, Richard J. 4 2006 Operations between functions. Zbl 1400.26027 Gardner, Richard J.; Kiderlen, Markus 4 2018 Indicating cones and the intersection principle for tangential approximants in abstract multiplier rules. Zbl 0427.49025 Martin, D. H.; Gardner, R. J.; Watkins, G. G. 3 1981 Are diffused, regular, Radon measures \(\sigma\)-finite? Zbl 0431.28010 Gardner, R. J.; Pfeffer, W. F. 3 1979 Some undecidability results concerning Radon measures. Zbl 0455.28005 Gardner, R. J.; Pfeffer, W. F. 3 1980 Approximating sequences and Hausdorff measure. Zbl 0282.28011 Gardner, R. J. 3 1974 Convex bodies equidecomposable by locally discrete groups of isometries. Zbl 0574.52015 Gardner, R. J. 3 1985 Determination of convex bodies by their brightness functions. Zbl 0799.52002 Gardner, R. J.; Volčič, A. 3 1993 Reconstruction of orientations of a moving protein domain from paramagnetic data. Zbl 1065.62201 Gardner, Richard J.; Longinetti, Marco; Sgheri, Luca 3 2005 Measure theory and some problems in geometry. Zbl 0735.52001 Gardner, R. J. 3 1991 Lightness functions. Zbl 1261.52002 Campi, Stefano; Gardner, Richard J.; Gronchi, Paolo; Kiderlen, Markus 3 2012 Relative width measures and the plank problem. Zbl 0678.52002 Gardner, R. J. 3 1988 Convergence of symmetrization processes. Zbl 1487.52005 Bianchi, Gabriele; Gardner, Richard J.; Gronchi, Paolo 3 2022 Rearrangement and polarization. Zbl 1448.28001 Bianchi, Gabriele; Gardner, Richard J.; Gronchi, Paolo; Kiderlen, Markus 3 2020 Completeness and weak covering properties, and measure-compactness. Zbl 0393.54015 Gruenhage, G.; Gardner, R. J. 2 1978 Full rotational symmetry from reflections or rotational symmetries in finitely many subspaces. Zbl 07525032 Bianchi, Gabriele; Gardner, Richard J.; Gronchi, Paolo 2 2022 Decomposability of Radon measures. Zbl 0543.28006 Gardner, R. J.; Pfeffer, W. F. 2 1984 Majorizing sequences and approximation. Zbl 0405.41014 Gardner, R. J.; Hawkes, J. 1 1976 Covering sets of reals. Zbl 0446.28005 Gardner, R. J. 1 1980 Generalized Lusin sets and the Baire order problem. Zbl 0461.54031 Brown, Jack B.; Gardner, Richard J. 1 1980 A problem of Sallee on equidecomposable convex bodies. Zbl 0563.52006 Gardner, R. J. 1 1985 The Banach-Tarski theorem on polygons, and the cancellation law. Zbl 0707.52001 Gardner, R. J.; Laczkovich, M. 1 1990 Bijections of \({\mathbb{R}}^ n\) onto itself. Zbl 0654.51022 Gardner, R. J.; Mauldin, R. Daniel 1 1988 Sets determined by finitely many X-rays. Zbl 0757.52001 Gardner, R. J. 1 1992 Subdivision algorithms and the kernel of a polyhedron. Zbl 0764.52004 Gardner, R. J.; Kallay, M. 1 1992 At long last, the circle has been squared. Zbl 0692.51010 Gardner, Richard J.; Wagon, Stan 1 1989 Convergence of symmetrization processes. Zbl 1487.52005 Bianchi, Gabriele; Gardner, Richard J.; Gronchi, Paolo 3 2022 Full rotational symmetry from reflections or rotational symmetries in finitely many subspaces. Zbl 07525032 Bianchi, Gabriele; Gardner, Richard J.; Gronchi, Paolo 2 2022 General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. II. Zbl 1430.52001 Gardner, Richard J.; Hug, Daniel; Xing, Sudan; Ye, Deping 32 2020 The Eneström-Kakeya theorem for polynomials of a quaternionic variable. Zbl 1441.30070 Carney, N.; Gardner, R.; Keaton, R.; Powers, A. 11 2020 Rearrangement and polarization. Zbl 1448.28001 Bianchi, Gabriele; Gardner, Richard J.; Gronchi, Paolo; Kiderlen, Markus 3 2020 General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. I. Zbl 1404.52004 Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang; Xing, Sudan; Ye, Deping 46 2019 Operations between functions. Zbl 1400.26027 Gardner, Richard J.; Kiderlen, Markus 4 2018 Symmetrization in geometry. Zbl 1366.52003 Bianchi, Gabriele; Gardner, Richard J.; Gronchi, Paolo 22 2017 Characterizing the dual mixed volume via additive functionals. Zbl 1352.52008 Dulio, Paolo; Gardner, Richard; Peri, Carla 11 2016 Reverse and dual Loomis-Whitney-type inequalities. Zbl 1335.52007 Campi, Stefano; Gardner, Richard J.; Gronchi, Paolo 11 2016 The dual Orlicz-Brunn-Minkowski theory. Zbl 1320.52008 Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang; Ye, Deping 63 2015 The Orlicz-Brunn-Minkowski theory: a general framework, additions, and inequalities. Zbl 1303.52002 Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang 132 2014 A characterization of Blaschke addition. Zbl 1291.52011 Gardner, Richard J.; Parapatits, Lukas; Schuster, Franz E. 12 2014 Operations between sets in geometry. Zbl 1282.52006 Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang 49 2013 A problem of Klee on inner section functions of convex bodies. Zbl 1255.52005 Gardner, Richard J.; Ryabogin, Dmitry; Yaskin, Vlad; Zvavitch, Artem 5 2012 Lightness functions. Zbl 1261.52002 Campi, Stefano; Gardner, Richard J.; Gronchi, Paolo; Kiderlen, Markus 3 2012 Phase retrieval for characteristic functions of convex bodies and reconstruction from covariograms. Zbl 1283.42014 Bianchi, Gabriele; Gardner, Richard J.; Kiderlen, Markus 5 2011 Gaussian Brunn-Minkowski inequalities. Zbl 1205.52002 Gardner, Richard J.; Zvavitch, Artem 36 2010 Capacities, surface area, and radial sums. Zbl 1163.52001 Gardner, Richard J.; Hartenstine, David 11 2009 The dual Brunn-Minkowski theory for bounded Borel sets: dual affine quermassintegrals and inequalities. Zbl 1126.52008 Gardner, R. J. 45 2007 A solution to Hammer’s X-ray reconstruction problem. Zbl 1125.52001 Gardner, Richard J.; Kiderlen, Markus 9 2007 Geometric tomography. 2nd ed. Zbl 1102.52002 Gardner, Richard J. 398 2006 Convergence of algorithms for reconstructing convex bodies and directional measures. Zbl 1097.52503 Gardner, Richard J.; Kiderlen, Markus; Milanfar, Peyman 27 2006 Discrete point X-rays. Zbl 1114.52003 Dulio, Paolo; Gardner, Richard J.; Peri, Carla 5 2006 Shape estimation from support and diameter functions. Zbl 1478.94075 Poonawala, Amyn; Milanfar, Peyman; Gardner, Richard J. 4 2006 Sums, projections, and sections of lattice sets, and the discrete covariogram. Zbl 1093.52008 Gardner, Richard J.; Gronchi, Paolo; Zong, Chuanming 23 2005 Reconstruction of orientations of a moving protein domain from paramagnetic data. Zbl 1065.62201 Gardner, Richard J.; Longinetti, Marco; Sgheri, Luca 3 2005 Geometric tomography and local stereology. Zbl 1034.52007 Gardner, R. J.; Jensen, Eva B. Vedel; Volčič, A. 13 2003 Reconstruction of convex bodies from brightness functions. Zbl 1035.52001 Gardner, R. J.; Milanfar, Peyman 10 2003 The Brunn-Minkowski inequality. Zbl 1019.26008 Gardner, R. J. 382 2002 A Brunn-Minkowski inequality for the integer lattice. Zbl 0977.52019 Gardner, R. J.; Gronchi, P. 44 2001 On the computational complexity of determining polyatomic structures by X-rays. Zbl 1005.82035 Gardner, R. J.; Gritzmann, P.; Prangenberg, D. 15 2000 The Brunn-Minkowski inequality, Minkowski’s first inequality, and their duals. Zbl 0959.52007 Gardner, R. J.; Vassallo, S. 5 2000 An analytic solution to the Busemann-Petty problem on sections of convex bodies. Zbl 0937.52003 Gardner, R. J.; Koldobsky, A.; Schlumprecht, T. 141 1999 On the computational complexity of reconstructing lattice sets from their \(X\)-rays. Zbl 0947.68160 Gardner, R. J.; Gritzmann, P.; Prangenberg, D. 47 1999 \(p\)-cross-section bodies. Zbl 0935.52007 Gardner, R. J.; Giannopoulos, A. A. 20 1999 Uniqueness and complexity in discrete tomography. Zbl 0964.65146 Gardner, Richard J.; Gritzmann, Peter 19 1999 Stability of inequalities in the dual Brunn-Minkowski theory. Zbl 0926.52010 Gardner, R. J.; Vassallo, S. 7 1999 Une solution analytique au problème de Busemann-Petty. (An analytic solution to the Busemann-Petty problem.) Zbl 0929.52004 Gardner, Richard J.; Koldobsky, Alexander; Schlumprecht, Thomas 6 1999 On the determination of star and convex bodies by section functions. Zbl 0923.52003 Gardner, R. J.; Soranzo, A.; Volčič, A. 6 1999 From computerized to geometric and discrete tomography. Zbl 0940.65148 Gardner, R. J. 5 1999 Affine inequalities and radial mean bodies. Zbl 0908.52001 Gardner, R. J.; Zhang, Gaoyong 69 1998 Inequalities for dual isoperimetric deficits. Zbl 0959.52006 Gardner, R. J.; Vassallo, S. 6 1998 Discrete tomography: Determination of finite sets by X-rays. Zbl 0873.52015 Gardner, R. J.; Gritzmann, Peter 61 1997 Geometric tomography. Zbl 0864.52001 Gardner, Richard J. 110 1995 Geometric tomography. Zbl 1042.52501 Gardner, R. J. 72 1995 A positive answer to the Busemann-Petty problem in three dimensions. Zbl 0826.52010 Gardner, R. J. 129 1994 Intersection bodies and the Busemann-Petty problem. Zbl 0801.52005 Gardner, R. J. 83 1994 Tomography of convex and star bodies. Zbl 0831.52002 Gardner, R. J.; Volčič, A. 26 1994 On the Busemann-Petty problem concerning central sections of centrally symmetric convex bodies. Zbl 0814.52003 Gardner, R. J. 19 1994 Ridges for image analysis. Zbl 1433.68466 Eberly, D.; Gardner, R.; Morse, B.; Pizer, S.; Scharlach, C. 14 1994 Successive determination and verification of polytopes by their X-rays. Zbl 0813.52012 Gardner, R. J.; Gritzmann, Peter 6 1994 Convex bodies with similar projections. Zbl 0806.52005 Gardner, R. J.; Volčič, A. 4 1994 Determination of convex bodies by their brightness functions. Zbl 0799.52002 Gardner, R. J.; Volčič, A. 3 1993 X-rays of polygons. Zbl 0748.52003 Gardner, R. J. 5 1992 Sets determined by finitely many X-rays. Zbl 0757.52001 Gardner, R. J. 1 1992 Subdivision algorithms and the kernel of a polyhedron. Zbl 0764.52004 Gardner, R. J.; Kallay, M. 1 1992 Measure theory and some problems in geometry. Zbl 0735.52001 Gardner, R. J. 3 1991 The Banach-Tarski theorem on polygons, and the cancellation law. Zbl 0707.52001 Gardner, R. J.; Laczkovich, M. 1 1990 At long last, the circle has been squared. Zbl 0692.51010 Gardner, Richard J.; Wagon, Stan 1 1989 Relative width measures and the plank problem. Zbl 0678.52002 Gardner, R. J. 3 1988 Bijections of \({\mathbb{R}}^ n\) onto itself. Zbl 0654.51022 Gardner, R. J.; Mauldin, R. Daniel 1 1988 Chord functions of convex bodies. Zbl 0634.52003 Gardner, R. J. 6 1987 Convex bodies equidecomposable by locally discrete groups of isometries. Zbl 0574.52015 Gardner, R. J. 3 1985 A problem of Sallee on equidecomposable convex bodies. Zbl 0563.52006 Gardner, R. J. 1 1985 Borel measures. Zbl 0593.28016 Gardner, R. J.; Pfeffer, W. F. 21 1984 Decomposability of Radon measures. Zbl 0543.28006 Gardner, R. J.; Pfeffer, W. F. 2 1984 Symmetrals and X-rays of planar convex bodies. Zbl 0516.52003 Gardner, R. J. 16 1983 On the Hausdorff dimension of a set of complex continued fractions. Zbl 0492.10042 Gardner, R. J.; Mauldin, R. D. 5 1983 Regions of stability for arbitrarily perturbed convex programs. Zbl 0494.49027 Zlobec, Sanjo; Gardner, R.; Ben-Israel, Adi 11 1982 The regularity of Borel measures. Zbl 0487.28012 Gardner, R. J. 5 1982 Indicating cones and the intersection principle for tangential approximants in abstract multiplier rules. Zbl 0427.49025 Martin, D. H.; Gardner, R. J.; Watkins, G. G. 3 1981 On Hammer’s X-ray problem. Zbl 0417.52005 Gardner, R. J.; McMullen, P. 26 1980 Some undecidability results concerning Radon measures. Zbl 0455.28005 Gardner, R. J.; Pfeffer, W. F. 3 1980 Covering sets of reals. Zbl 0446.28005 Gardner, R. J. 1 1980 Generalized Lusin sets and the Baire order problem. Zbl 0461.54031 Brown, Jack B.; Gardner, Richard J. 1 1980 Are diffused, regular, Radon measures \(\sigma\)-finite? Zbl 0431.28010 Gardner, R. J.; Pfeffer, W. F. 3 1979 Completeness and weak covering properties, and measure-compactness. Zbl 0393.54015 Gruenhage, G.; Gardner, R. J. 2 1978 Majorizing sequences and approximation. Zbl 0405.41014 Gardner, R. J.; Hawkes, J. 1 1976 The regularity of Borel measures and Borel measure-compactness. Zbl 0294.28001 Gardner, R. J. 23 1975 Approximating sequences and Hausdorff measure. Zbl 0282.28011 Gardner, R. J. 3 1974 all cited Publications top 5 cited Publications all top 5 Cited by 1,021 Authors 50 Wang, Weidong 40 Gardner, Richard J. 39 Zhao, Changjian 29 Werner, Elisabeth M. 29 Xiong, Ge 28 Koldobsky, Alexander L. 27 Leng, Gangsong 24 Zvavitch, Artem 23 Zhang, Gaoyong 21 Ye, Deping 18 Rubin, Boris 17 Böröczky, Karoly jun. 17 Yang, Deane 16 Cheung, Wingsum 16 Dulio, Paolo 16 Feng, Yibin 16 Gronchi, Paolo 16 Lutwak, Erwin 15 Colesanti, Andrea 15 Huang, Qingzhong 15 Ryabogin, Dmitry 15 Salani, Paolo 15 Schuster, Franz E. 15 Xi, Dongmeng 14 Bianchi, Gabriele 14 Hug, Daniel 14 Yaskin, Vladyslav 14 Yepes Nicolás, Jesús 13 Zhou, Jiazu 12 Frosini, Andrea 12 Li, Aijun 12 Ludwig, Monika 12 Schütt, Carsten 12 Xiao, Jie 12 Zhu, Baocheng 11 Campi, Stefano 11 Fang, Niufa 11 He, Binwu 11 Henk, Martin 11 Lin, Youjiang 11 Lv, Songjun 11 Weil, Wolfgang 10 Brunetti, Sara 10 Kiderlen, Markus 10 Milman, Emanuel 10 Saroglou, Christos 10 Zhang, Ning 9 Alonso-Gutiérrez, David 9 Gritzmann, Peter 9 Peri, Carla 9 Wang, Wei 9 Wu, Denghui 9 Zhou, Yanping 8 Daurat, Alain 8 Gómez, Eugenia Saorín 8 Goodey, Paul R. 8 Haberl, Christoph 8 Klain, Daniel A. 8 Liu, Lijuan 8 Xing, Sudan 8 Xu, Wenxue 8 Zlobec, Sanjo 8 Zou, Du 7 Batenburg, Kees Joost 7 Chen, Fangwei 7 Guo, Lujun 7 Hernández Cifre, María A. 7 Jin, Hailin 7 Ma, Tongyi 7 Marsiglietti, Arnaud 7 Martini, Horst 7 Parapatits, Lukas 7 Rinaldi, Simone 7 Tijdeman, Robert 7 Zhang, Zengle 6 Dann, Susanna 6 Hu, Jinrong 6 Iglesias, David 6 Kolesnikov, Alexander V. 6 Livshyts, Galyna V. 6 Madiman, Mokshay M. 6 Nivat, Maurice 6 Paouris, Grigoris 6 Picouleau, Christophe 6 Pivovarov, Peter 6 Serra, Oriol 6 Wen, Jiajin 6 Yang, Congli 6 Zhu, Guangxian 5 Alfonseca-Cubero, María de los Ángeles 5 Averkov, Gennadiy 5 Besau, Florian 5 Chen, Shibing 5 Cordero-Erausquin, Dario 5 Del Lungo, Alberto 5 Fradelizi, Matthieu 5 González Merino, Bernardo 5 Hajdu, Lajos 5 Huang, Yong 5 Ji, Lewen ...and 921 more Authors all top 5 Cited in 261 Serials 132 Advances in Mathematics 67 Journal of Mathematical Analysis and Applications 55 Advances in Applied Mathematics 50 Transactions of the American Mathematical Society 49 Proceedings of the American Mathematical Society 42 The Journal of Geometric Analysis 40 Discrete & Computational Geometry 35 Journal of Functional Analysis 33 Journal of Inequalities and Applications 22 Discrete Applied Mathematics 22 Geometriae Dedicata 22 Calculus of Variations and Partial Differential Equations 21 Israel Journal of Mathematics 20 Mathematika 19 Theoretical Computer Science 14 Mathematische Annalen 12 Results in Mathematics 12 Acta Mathematica Sinica. English Series 11 Archiv der Mathematik 11 Journal of Function Spaces 10 Linear Algebra and its Applications 9 Monatshefte für Mathematik 9 Journal of Mathematical Inequalities 9 Science China. Mathematics 8 Topology and its Applications 8 Journal of Mathematical Imaging and Vision 7 Discrete Mathematics 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 The Annals of Statistics 7 Quaestiones Mathematicae 7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 7 Mathematical Inequalities & Applications 7 Communications in Contemporary Mathematics 7 Advances in Geometry 7 Journal of Nonlinear Science and Applications 6 Rocky Mountain Journal of Mathematics 6 Beiträge zur Algebra und Geometrie 6 Journal of Differential Equations 6 Acta Mathematica Hungarica 6 Indagationes Mathematicae. New Series 6 Journal of the European Mathematical Society (JEMS) 6 Advanced Nonlinear Studies 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Open Mathematics 5 The Annals of Probability 5 Czechoslovak Mathematical Journal 5 Indiana University Mathematics Journal 5 Mathematische Nachrichten 5 Proceedings of the London Mathematical Society. Third Series 5 Journal of the American Mathematical Society 5 SIAM Journal on Discrete Mathematics 5 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 5 Potential Analysis 5 Journal of Shanghai University 5 Acta Mathematica Scientia. Series B. (English Edition) 5 Mediterranean Journal of Mathematics 4 Advances in Applied Probability 4 Inverse Problems 4 Bulletin of the London Mathematical Society 4 Duke Mathematical Journal 4 Inventiones Mathematicae 4 Journal of the London Mathematical Society. Second Series 4 Chinese Annals of Mathematics. Series B 4 Probability Theory and Related Fields 4 Geometric and Functional Analysis. GAFA 4 Aequationes Mathematicae 4 Journal of Convex Analysis 4 The Journal of Fourier Analysis and Applications 4 Wuhan University Journal of Natural Sciences (WUJNS) 4 Advances in Calculus of Variations 3 Applicable Analysis 3 Information Processing Letters 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Aplikace Matematiky 3 Canadian Journal of Mathematics 3 Journal of Statistical Planning and Inference 3 Manuscripta Mathematica 3 Mathematical Programming 3 Mathematische Zeitschrift 3 Memoirs of the American Mathematical Society 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Real Analysis Exchange 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 European Journal of Combinatorics 3 Statistical Science 3 Revista Matemática Iberoamericana 3 Applied Mathematics Letters 3 Forum Mathematicum 3 Science in China. Series A 3 International Journal of Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Expositiones Mathematicae 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Applied and Computational Harmonic Analysis 3 Journal of Mathematical Sciences (New York) 3 Filomat 3 Positivity 3 Annals of Mathematics. Second Series 3 Fundamenta Informaticae 2 Journal d’Analyse Mathématique ...and 161 more Serials all top 5 Cited in 57 Fields 922 Convex and discrete geometry (52-XX) 115 Differential geometry (53-XX) 106 Probability theory and stochastic processes (60-XX) 102 Real functions (26-XX) 99 Measure and integration (28-XX) 98 Functional analysis (46-XX) 83 Partial differential equations (35-XX) 81 Computer science (68-XX) 56 Calculus of variations and optimal control; optimization (49-XX) 49 Combinatorics (05-XX) 49 Integral transforms, operational calculus (44-XX) 44 Information and communication theory, circuits (94-XX) 37 Number theory (11-XX) 37 Statistics (62-XX) 34 Harmonic analysis on Euclidean spaces (42-XX) 31 Geometry (51-XX) 31 Biology and other natural sciences (92-XX) 30 General topology (54-XX) 29 Operations research, mathematical programming (90-XX) 27 Numerical analysis (65-XX) 22 Potential theory (31-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 20 Operator theory (47-XX) 17 Difference and functional equations (39-XX) 15 Abstract harmonic analysis (43-XX) 15 Global analysis, analysis on manifolds (58-XX) 13 Mathematical logic and foundations (03-XX) 12 Topological groups, Lie groups (22-XX) 12 Several complex variables and analytic spaces (32-XX) 10 History and biography (01-XX) 10 Functions of a complex variable (30-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Approximations and expansions (41-XX) 6 Algebraic geometry (14-XX) 5 General and overarching topics; collections (00-XX) 5 Manifolds and cell complexes (57-XX) 5 Optics, electromagnetic theory (78-XX) 4 Group theory and generalizations (20-XX) 4 Special functions (33-XX) 3 Commutative algebra (13-XX) 3 Ordinary differential equations (34-XX) 3 Fluid mechanics (76-XX) 3 Astronomy and astrophysics (85-XX) 3 Geophysics (86-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Algebraic topology (55-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 2 Mathematics education (97-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year