Edit Profile (opens in new tab) Sommese, Andrew John Co-Author Distance Author ID: sommese.andrew-john Published as: Sommese, Andrew J.; Sommese, Andrew John; Sommese, A. J.; Sommese, Andrew more...less Homepage: http://www3.nd.edu/~sommese/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 215 Publications since 1973, including 5 Books 5 Contributions as Editor Biographic References: 1 Publication Co-Authors: 72 Co-Authors with 181 Joint Publications 2,222 Co-Co-Authors all top 5 Co-Authors 39 single-authored 47 Beltrametti, Mauro C. 37 Wampler, Charles W. II 33 Hauenstein, Jonathan D. 18 Bates, Daniel J. 14 Hao, Wenrui 14 Lanteri, Antonio 13 Morgan, Alexander P. 12 Verschelde, Jan 11 Peterson, Chris 8 Carrell, James B. 8 Fania, Maria Lucia 7 Di Rocco, Sandra 7 Hu, Bei 7 Palleschi, Marino 7 Schneider, Michael 6 Andreatta, Marco 5 Peternell, Thomas Martin 4 Brake, Daniel A. 4 Howard, Alan 4 Zhang, Yongtao 3 Białynicki-Birula, Andrzej S. 3 Biancofiore, Aldo 3 Liu, Yuan 3 Maeda, Hidetoshi 3 Mccoy, Timothy M. 3 Schreyer, Frank-Olaf 3 Watson, Layne Terry 2 Allgower, Eugene L. 2 Ballico, Edoardo 2 Besana, Gian Mario 2 Chandler, Karen A. 2 Ciliberto, Ciro 2 Eklund, David 2 Kebekus, Stefan 2 Livorni, Elvira Laura 2 Nepomechie, Rafael I. 2 Van de Ven, Antonius 2 Wiśńiewski, Jarosław Antoni 1 Akyildiz, Ersan 1 Bates, Dan 1 Brake, Dani A. 1 Brake, Danielle A. 1 Decker, Wolfram 1 Dickenstein, Alicia M. 1 Diller, Jeffrey 1 Francia, Paolo 1 Gainutdinov, Azat M. 1 Göttsche, Lothar 1 Greuel, Gert-Martin 1 Griffin, Zachary A. 1 Jackson, Daniel 1 Kim, Meeyoung 1 Koch, Thorsten 1 Laura Livorni, E. 1 Lieberman, David Ira 1 Lindsay, Alan E. 1 Lipman, Joseph 1 Lu, Ye 1 Migliore, Juan Carlos 1 Oeding, Luke 1 Ottaviani, Giorgio Maria 1 Paule, Peter 1 Pfister, Gerhard 1 Sato, Eiichi 1 Schiffman, B. 1 Shiffman, Bernard 1 Shu, Chi-Wang 1 Smyth, Brian 1 Stillman, Michael Eugene 1 Torrente, Maria-Laura 1 Wise, Steven M. 1 Xu, Zhiliang 1 Zeng, Zhonggang all top 5 Serials 12 Mathematische Annalen 11 Applied Mathematics and Computation 9 Transactions of the American Mathematical Society 8 Journal für die Reine und Angewandte Mathematik 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 SIAM Journal on Numerical Analysis 5 Commentarii Mathematici Helvetici 5 Journal of the Mathematical Society of Japan 5 Mathematica Scandinavica 5 Nagoya Mathematical Journal 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 ACM Transactions on Mathematical Software 4 Proceedings of the American Mathematical Society 4 Journal of Complexity 3 Communications in Algebra 3 Archiv der Mathematik 3 Duke Mathematical Journal 3 Journal of Computational and Applied Mathematics 3 Journal of Symbolic Computation 3 Forum Mathematicum 2 Arkiv för Matematik 2 Journal of Pure and Applied Algebra 2 Mathematische Zeitschrift 2 Numerische Mathematik 2 Journal of Scientific Computing 2 International Journal of Mathematics 2 Numerical Algorithms 2 Bulletin of the American Mathematical Society 1 Journal of Computational Physics 1 Mathematics of Computation 1 Computing 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of Mathematics of Kyoto University 1 Kodai Mathematical Journal 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Theoretical Computer Science 1 Advances in Applied Mathematics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Experimental Mathematics 1 Kyushu Journal of Mathematics 1 Journal of Mathematical Sciences. University of Tokyo 1 Mechanism and Machine Theory 1 Revista Matemática Complutense 1 Nonlinear Analysis. Real World Applications 1 Foundations of Computational Mathematics 1 Journal of Algebra and its Applications 1 Acta Numerica 1 Journal of Statistical Mechanics: Theory and Experiment 1 Contemporary Mathematics 1 De Gruyter Expositions in Mathematics 1 The IMA Volumes in Mathematics and its Applications 1 Institut Élie Cartan, Université de Nancy I 1 Lecture Notes in Computer Science 1 Lecture Notes in Mathematics 1 Progress in Mathematics 1 Software - Environments - Tools 1 Journal of Physics A: Mathematical and Theoretical 1 Discrete and Continuous Dynamical Systems. Series S 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SIAM Journal on Applied Algebra and Geometry all top 5 Fields 169 Algebraic geometry (14-XX) 62 Numerical analysis (65-XX) 44 Several complex variables and analytic spaces (32-XX) 25 Computer science (68-XX) 18 Functions of a complex variable (30-XX) 16 Commutative algebra (13-XX) 14 Field theory and polynomials (12-XX) 14 Differential geometry (53-XX) 8 Manifolds and cell complexes (57-XX) 7 Biology and other natural sciences (92-XX) 6 Real functions (26-XX) 5 General and overarching topics; collections (00-XX) 5 Partial differential equations (35-XX) 5 Mechanics of particles and systems (70-XX) 4 Algebraic topology (55-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 Ordinary differential equations (34-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 192 Publications have been cited 2,795 times in 1,339 Documents Cited by ▼ Year ▼ The numerical solution of systems of polynomials. Arising in engineering and science. Zbl 1091.65049Sommese, Andrew J.; Wampler, Charles W. II 229 2005 The adjunction theory of complex projective varieties. Zbl 0845.14003Beltrametti, Mauro C.; Sommese, Andrew J. 171 1995 Numerically solving polynomial systems with Bertini. Zbl 1295.65057Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. 116 2013 Vanishing theorems on complex manifolds. Zbl 0578.32055Shiffman, Bernard; Sommese, Andrew John 75 1985 Submanifolds of Abelian varieties. Zbl 0381.14007Sommese, Andrew John 72 1978 Software for numerical algebraic geometry: a paradigm and progress towards its implementation. Zbl 1143.65344Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. II 66 2008 Hyperplane sections of projective surfaces. I: The adjunction mapping. Zbl 0415.14019Sommese, Andrew John 66 1979 On the adjunction mapping. Zbl 0655.14001Sommese, Andrew John; Van de Ven, A. 64 1987 Coefficient-parameter polynomial continuation. Zbl 0664.65049Morgan, Alexander P.; Sommese, Andrew J. 56 1989 A homotopy for solving general polynomial systems that respects m- homogeneous structures. Zbl 0635.65057Morgan, Alexander; Sommese, Andrew 52 1987 Numerical decomposition of the solution sets of polynomial systems into irreducible components. Zbl 1002.65060Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 45 2001 On Reider’s method and higher order embeddings. Zbl 0702.14010Beltrametti, M.; Francia, P.; Sommese, A. J. 45 1989 Adaptive multiprecision path tracking. Zbl 1162.65026Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler II, Charles W. 41 2008 Regeneration homotopies for solving systems of polynomials. Zbl 1221.65121Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. 39 2011 Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core. Zbl 1238.35193Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao 39 2012 Zero cycles and \(k\)-th order embeddings of smooth projective surfaces. Appendix by Lothar Göttsche: Identification of very ample line bundles on \(S^{(r)}\). Zbl 0827.14029Beltrametti, M.; Sommese, A. J. 36 1991 Symmetric functions applied to decomposing solution sets of polynomial systems. Zbl 1034.65034Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 31 2002 Witness sets of projections. Zbl 1203.14072Hauenstein, Jonathan D.; Sommese, Andrew J. 30 2010 Computing all solutions to polynomial systems using homotopy continuation. Zbl 0635.65058Morgan, Alexander; Sommese, Andrew 30 1987 On the adjunction theoretic structure of projective varieties. Zbl 0601.14029Sommese, Andrew John 30 1986 On the minimality of hyperplane sections of projective threefolds. Zbl 0509.14044Sommese, Andrew John 29 1981 On manifolds that cannot be ample divisors. Zbl 0306.14006Sommese, Andrew John 29 1976 Continuation along bifurcation branches for a tumor model with a necrotic core. Zbl 1328.92032Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao 26 2012 Numerical algebraic geometry. Zbl 0856.65054Sommese, Andrew J.; Wampler, Charles W. 26 1996 Using monodromy to decompose solution sets of polynomial systems into irreducible components. Zbl 0990.65051Sommese, A. J.; Verschelde, J.; Wampler, C. W. 26 2001 A numerical local dimension test for points on the solution set of a system of polynomial equations. Zbl 1211.14066Bates, Daniel J.; Hauenstein, Jonathan D.; Peterson, Chris; Sommese, Andrew J. 25 2009 Quaternionic manifolds. Zbl 0299.53023Sommese, Andrew John 25 1975 Results on varieties with many lines and their applications to adjunction theory. (Appendix by Mauro C. Beltrametti and Andrew J. Sommese: Applications to adjunction theory). Zbl 0777.14012Beltrametti, Mauro C.; Sommese, Andrew J.; Wiśniewski, Jarosław A. 24 1992 A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws. Zbl 1349.65558Hao, Wenrui; Hauenstein, Jonathan D.; Shu, Chi-Wang; Sommese, Andrew J.; Xu, Zhiliang; Zhang, Yong-Tao 24 2013 Homotopy techniques for tensor decomposition and perfect identifiability. Zbl 1440.15019Hauenstein, Jonathan D.; Oeding, Luke; Ottaviani, Giorgio; Sommese, Andrew J. 24 2019 Numerical algebraic geometry and algebraic kinematics. Zbl 1254.13031Wampler, Charles W.; Sommese, Andrew J. 23 2011 A bootstrapping approach for computing multiple solutions of differential equations. Zbl 1294.65085Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J. 22 2014 Numerical homotopies to compute generic points on positive dimensional algebraic sets. Zbl 0982.65070Sommese, Andrew J.; Verschelde, Jan 21 2000 A three-dimensional steady-state tumor system. Zbl 1238.92019Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J. 21 2011 Efficient path tracking methods. Zbl 1230.65059Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J. 20 2011 Stepsize control for path tracking. Zbl 1181.65071Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. II 20 2009 Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1303.92044Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; McCoy, Timothy; Sommese, Andrew J. 20 2013 A power series method for computing singular solutions to nonlinear analytic systems. Zbl 0756.65079Morgan, Alexander P.; Sommese, Andrew J.; Wampler, Charles W. 18 1992 On \(k\)-jet ampleness. Zbl 0806.14014Beltrametti, Mauro C.; Sommese, Andrew J. 18 1993 On the adjunction theoretic classification of polarized varieties. Zbl 0762.14005Beltrametti, Mauro C.; Sommese, Andrew J. 17 1992 On the density of ratios of Chern classes of algebraic surfaces. Zbl 0521.14016Sommese, Andrew J. 17 1984 Some topological aspects of C* actions on compact Kaehler manifolds. Zbl 0466.32015Carrell, James B.; Sommese, Andrew John 17 1979 Homotopy groups of pullbacks of varieties. Zbl 0564.14010Sommese, Andrew John; van de Ven, A. 17 1986 Finding all isolated solutions to polynomial systems using HOMPACK. Zbl 0900.65151Morgan, Alexander P.; Sommese, Andrew J.; Watson, Layne T. 17 1989 Regenerative cascade homotopies for solving polynomial systems. Zbl 1231.65190Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. 17 2011 Complex subspaces of homogeneous complex manifolds. II. Homotopy results. Zbl 0497.32026Sommese, Andrew John 17 1982 Membership tests for images of algebraic sets by linear projections. Zbl 1285.14066Hauenstein, Jonathan D.; Sommese, Andrew J. 16 2013 Computing singular solutions to nonlinear analytic systems. Zbl 0721.65027Morgan, Alexander P.; Sommese, Andrew J.; Wampler, Charles W. 16 1991 Finding all real points of a complex curve. Zbl 1136.65050Lu, Ye; Bates, Daniel J.; Sommese, Andrew J.; Wampler, Charles W. 16 2007 Notes on embeddings of blowups. Zbl 0881.14007Beltrametti, Mauro C.; Sommese, Andrew J. 15 1996 Introduction to numerical algebraic geometry. Zbl 1152.14313Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 15 2005 Invariant curves for birational surface maps. Zbl 1115.14007Diller, Jeffrey; Jackson, Daniel; Sommese, Andrew 15 2007 Numerical irreducible decomposition using projections from points on the components. Zbl 1061.68593Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 15 2001 Singular solutions, repeated roots and completeness for higher-spin chains. Zbl 1456.82268Hao, Wenrui; Nepomechie, Rafael I.; Sommese, Andrew J. 15 2014 On the discriminant variety of a projective manifold. Zbl 0780.14023Beltrametti, Mauro C.; Fania, M. Lucia; Sommese, Andrew J. 14 1992 On the theorem of de Franchis. Zbl 0534.14016Howard, Alan; Sommese, Andrew J. 14 1983 Counting solutions of the Bethe equations of the quantum group invariant open XXZ chain at roots of unity. Zbl 1341.82022Gainutdinov, Azat M.; Hao, Wenrui; Nepomechie, Rafael I.; Sommese, Andrew J. 14 2015 On the preservation of \(k\)-very ampleness under adjunction. Zbl 0806.14015Beltrametti, Mauro C.; Sommese, Andrew J. 14 1993 A product-decomposition bound for Bézout numbers. Zbl 0854.65038Morgan, Alexander P.; Sommese, Andrew J.; Wampler, Charles W. 14 1995 On k-spannedness for projective surfaces. Zbl 0706.14007Beltrametti, Mauro; Sommese, Andrew J. 14 1990 Computing singular solutions to polynomial systems. Zbl 0764.65030Morgan, Alexander P.; Sommese, Andrew J.; Wampler, Charles W. 13 1992 Bertini_real: software for one- and two-dimensional real algebraic sets. Zbl 1437.14005Brake, Daniel A.; Bates, Daniel J.; Hao, Wenrui; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. 13 2014 Projective contact manifolds. Zbl 0994.53024Kebekus, Stefan; Peternell, Thomas; Sommese, Andrew J.; Wiśniewski, Jarosław A. 13 2000 Homotopies for intersecting solution components of polynomial systems. Zbl 1108.13308Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 13 2004 A numerical-symbolic algorithm for computing the multiplicity of a component of an algebraic set. Zbl 1100.65046Bates, Dan; Peterson, Chris; Sommese, Andrew J. 13 2006 Comparing the classical and the adjunction-theoretic definition of scrolls. Zbl 0937.14027Beltrametti, M. C.; Sommese, A. J. 12 1993 A vector bundle characterization of \({\mathbb{P}}^ n\). Zbl 0701.14050Lanteri, A.; Sommese, A. J. 12 1988 Projective n-folds of log-general type. I. Zbl 0702.14037Beltrametti, M.; Biancofiore, A.; Sommese, A. J. 12 1989 Recovering exact results from inexact numerical data in algebraic geometry. Zbl 1284.14084Bates, Daniel J.; Hauenstein, Jonathan D.; McCoy, Timothy M.; Peterson, Chris; Sommese, Andrew J. 12 2013 New properties of special varieties arising from adjunction theory. Zbl 0754.14027Beltrametti, Mauro C.; Sommese, Andrew J. 11 1991 Cell decomposition of almost smooth real algebraic surfaces. Zbl 1271.65031Besana, Gian Mario; Di Rocco, Sandra; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. 11 2013 On the dimension of the adjoint linear system for threefolds. Zbl 0857.14001Beltrametti, M. C.; Sommese, A. J. 11 1995 Numerical factorization of multivariate complex polynomials. Zbl 1147.13302Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 11 2004 On the adjunction theoretic classification of projective varieties. Zbl 0712.14029Beltrametti, Mauro C.; Fania, M. Lucia; Sommese, Andrew J. 11 1991 Solution of polynomial systems derived from differential equations. Zbl 1086.65075Allgower, E. L.; Bates, D. J.; Sommese, A. J.; Wampler, C. W. 11 2006 Hilbert curves of polarized varieties. Zbl 1206.14018Beltrametti, M. C.; Lanteri, A.; Sommese, A. J. 11 2010 Threefolds of non-negative Kodaira dimension with sectional genus less than or equal to 15. Zbl 0636.14014Livorni, Elvira Laura; Sommese, Andrew John 10 1986 Quotients by \({\mathbb{C}}^*\) and SL(2,\({\mathbb{C}})\) actions. Zbl 0566.32026Białynicki-Birula, Andrzej; Sommese, Andrew John 10 1983 On the discriminant locus of an ample and spanned line bundle. – Appendix: On the nefness of the Chern classes of the first jet bundle. Zbl 0851.14002Lanteri, Antonio; Palleschi, Marino; Sommese, Andrew J. 10 1996 Algorithm 801: POLSYS_PLP. A partitioned linear product homotopy code for solving polynomial systems of equations. Zbl 1137.65353Wise, Steven M.; Sommese, Andrew J.; Watson, Layne T. 10 2000 C*-actions. Zbl 0416.32022Carrell, James B.; Sommese, Andrew John 10 1978 Solving polynomial systems equation by equation. Zbl 1136.65052Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 10 2008 Algorithm 931: An algorithm and software for computing multiplicity structures at zeros of nonlinear systems. Zbl 1295.65058Hao, Wenrui; Sommese, Andrew J.; Zeng, Zhonggang 9 2013 Borel’s fixed point theorem for Kaehler manifolds and an application. Zbl 0244.32013Sommese, Andrew J. 9 1973 Del Pezzo surfaces as hyperplane sections. Zbl 0930.14025Lanteri, Antonio; Palleschi, Marino; Sommese, Andrew J. 9 1997 Criteria for quasi-projectivity. Zbl 0338.14011Sommese, Andrew John 9 1975 Extension theorems for reductive group actions on compact Kähler manifolds. Zbl 0299.32029Sommese, Andrew John 8 1975 Some algebraic properties of the image of the period mapping. Zbl 0271.14004Sommese, Andrew J. 8 1973 Applications of the Ein-Lazarsfeld criterion for spannedness of adjoint bundles. Zbl 0804.14006Beltrametti, Mauro C.; Schneider, Michael; Sommese, Andrew J. 8 1993 Projective surfaces with \(k\)-very ample line bundles of degree \(\leq 4k + 4\). Zbl 0841.14033Ballico, Edoardo; Sommese, Andrew J. 8 1994 Chern inequalities and spannedness of adjoint bundles. Zbl 0870.14009Beltrametti, Mauro C.; Schneider, Michael; Sommese, Andrew J. 8 1996 Line bundles for which a projectivized jet bundle is a product. Zbl 0962.14008Di Rocco, Sandra; Sommese, Andrew J. 8 2001 On the nonemptiness of the adjoint linear system of a hyperplane section of a threefold. Zbl 0675.14005Sommese, Andrew J. 8 1989 Threefolds of degree 9 and 10 in \({\mathbb{P}}^ 5\). Zbl 0723.14033Beltrametti, Mauro C.; Schneider, Michael; Sommese, A. J. 8 1990 Mechanism mobility and a local dimension test. Zbl 1273.70004Wampler, Charles W.; Hauenstein, Jonathan D.; Sommese, Andrew J. 8 2011 Numerical computation of the genus of an irreducible curve within an algebraic set. Zbl 1211.14062Bates, Daniel J.; Peterson, Chris; Sommese, Andrew J.; Wampler, Charles W. 7 2011 An intrinsic homotopy for intersecting algebraic varieties. Zbl 1108.13309Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 7 2005 Holomorphic vector-fields on compact Kähler manifolds. Zbl 0272.32008Sommese, Andrew J. 7 1974 Ample vector bundles and branched coverings. Zbl 0982.14025Peternell, Thomas; Sommese, Andrew J. 7 2000 Cell cycle control and bifurcation for a free boundary problem modeling tissue growth. Zbl 1271.92012Hao, Wenrui; Hu, Bei; Sommese, Andrew J. 7 2013 Homotopy techniques for tensor decomposition and perfect identifiability. Zbl 1440.15019Hauenstein, Jonathan D.; Oeding, Luke; Ottaviani, Giorgio; Sommese, Andrew J. 24 2019 Singular value decomposition of complexes. Zbl 1428.14091Brake, Danielle A.; Hauenstein, Jonathan D.; Schreyer, Frank-Olaf; Sommese, Andrew J.; Stillman, Michael E. 1 2019 Algorithm 976: Bertini_real: numerical decomposition of real algebraic curves and surfaces. Zbl 1484.14109Brake, Daniel A.; Bates, Daniel J.; Hao, Wenrui; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. 6 2017 Foreword. What is numerical algebraic geometry? Zbl 1360.00098 5 2017 Perturbation results on the zero-locus of a polynomial. Zbl 1354.65093Torrente, Maria-Laura; Beltrametti, Mauro C.; Sommese, Andrew J. 2 2017 Homotopies for connected components of algebraic sets with application to computing critical sets. Zbl 1497.14121Bates, Daniel J.; Brake, Dani A.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. 1 2017 Numerical local irreducible decomposition. Zbl 1460.14131Brake, Daniel A.; Hauenstein, Jonathan D.; Sommese, Andrew J. 1 2016 Counting solutions of the Bethe equations of the quantum group invariant open XXZ chain at roots of unity. Zbl 1341.82022Gainutdinov, Azat M.; Hao, Wenrui; Nepomechie, Rafael I.; Sommese, Andrew J. 14 2015 Vibrations of thin plates with small clamped patches. Zbl 1371.35285Lindsay, A. E.; Hao, W.; Sommese, A. J. 4 2015 A bootstrapping approach for computing multiple solutions of differential equations. Zbl 1294.65085Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J. 22 2014 Singular solutions, repeated roots and completeness for higher-spin chains. Zbl 1456.82268Hao, Wenrui; Nepomechie, Rafael I.; Sommese, Andrew J. 15 2014 Bertini_real: software for one- and two-dimensional real algebraic sets. Zbl 1437.14005Brake, Daniel A.; Bates, Daniel J.; Hao, Wenrui; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. 13 2014 Numerical computation of the Hilbert function and regularity of a zero dimensional scheme. Zbl 1315.13032Griffin, Zachary A.; Hauenstein, Jonathan D.; Peterson, Chris; Sommese, Andrew J. 6 2014 Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety. Zbl 1410.65205Bates, Daniel J.; Decker, Wolfram; Hauenstein, Jonathan D.; Peterson, Chris; Pfister, Gerhard; Schreyer, Frank-Olaf; Sommese, Andrew J.; Wampler, Charles W. 6 2014 On computing a cell decomposition of a real surface containing infinitely many singularities. Zbl 1437.14061Bates, Daniel J.; Brake, Daniel A.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. 2 2014 Adjunction and singular loci of hyperplane sections. II. Zbl 1371.14009Beltrametti, M. C.; Lanteri, A.; Sommese, A. J. 1 2014 Numerically solving polynomial systems with Bertini. Zbl 1295.65057Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. 116 2013 A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws. Zbl 1349.65558Hao, Wenrui; Hauenstein, Jonathan D.; Shu, Chi-Wang; Sommese, Andrew J.; Xu, Zhiliang; Zhang, Yong-Tao 24 2013 Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1303.92044Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; McCoy, Timothy; Sommese, Andrew J. 20 2013 Membership tests for images of algebraic sets by linear projections. Zbl 1285.14066Hauenstein, Jonathan D.; Sommese, Andrew J. 16 2013 Recovering exact results from inexact numerical data in algebraic geometry. Zbl 1284.14084Bates, Daniel J.; Hauenstein, Jonathan D.; McCoy, Timothy M.; Peterson, Chris; Sommese, Andrew J. 12 2013 Cell decomposition of almost smooth real algebraic surfaces. Zbl 1271.65031Besana, Gian Mario; Di Rocco, Sandra; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. 11 2013 Algorithm 931: An algorithm and software for computing multiplicity structures at zeros of nonlinear systems. Zbl 1295.65058Hao, Wenrui; Sommese, Andrew J.; Zeng, Zhonggang 9 2013 Cell cycle control and bifurcation for a free boundary problem modeling tissue growth. Zbl 1271.92012Hao, Wenrui; Hu, Bei; Sommese, Andrew J. 7 2013 Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core. Zbl 1238.35193Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao 39 2012 Continuation along bifurcation branches for a tumor model with a necrotic core. Zbl 1328.92032Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao 26 2012 Regeneration homotopies for solving systems of polynomials. Zbl 1221.65121Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. 39 2011 Numerical algebraic geometry and algebraic kinematics. Zbl 1254.13031Wampler, Charles W.; Sommese, Andrew J. 23 2011 A three-dimensional steady-state tumor system. Zbl 1238.92019Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J. 21 2011 Efficient path tracking methods. Zbl 1230.65059Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J. 20 2011 Regenerative cascade homotopies for solving polynomial systems. Zbl 1231.65190Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. 17 2011 Mechanism mobility and a local dimension test. Zbl 1273.70004Wampler, Charles W.; Hauenstein, Jonathan D.; Sommese, Andrew J. 8 2011 Numerical computation of the genus of an irreducible curve within an algebraic set. Zbl 1211.14062Bates, Daniel J.; Peterson, Chris; Sommese, Andrew J.; Wampler, Charles W. 7 2011 Chern numbers of smooth varieties via homotopy continuation and intersection theory. Zbl 1200.14014Di Rocco, Sandra; Eklund, David; Peterson, Chris; Sommese, Andrew J. 6 2011 Multiple stable steady states of a reaction-diffusion model on zebrafish dorsal-ventral patterning. Zbl 1218.65043Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao 5 2011 A parallel endgame. Zbl 1238.14007Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J. 4 2011 Witness sets of projections. Zbl 1203.14072Hauenstein, Jonathan D.; Sommese, Andrew J. 30 2010 Hilbert curves of polarized varieties. Zbl 1206.14018Beltrametti, M. C.; Lanteri, A.; Sommese, A. J. 11 2010 Algebraic \(\mathbb C^*\)-actions and the inverse kinematics of a general 6R manipulator. Zbl 1208.65028Di Rocco, Sandra; Eklund, David; Sommese, Andrew J.; Wampler, Charles W. 4 2010 A numerical local dimension test for points on the solution set of a system of polynomial equations. Zbl 1211.14066Bates, Daniel J.; Hauenstein, Jonathan D.; Peterson, Chris; Sommese, Andrew J. 25 2009 Stepsize control for path tracking. Zbl 1181.65071Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. II 20 2009 Numerical decomposition of the rank-deficiency set of a matrix of multivariate polynomials. Zbl 1191.14071Bates, Daniel J.; Hauenstein, Jonathan D.; Peterson, Chris; Sommese, Andrew J. 6 2009 Numerical computation of the dimensions of the cohomology of twists of ideal sheaves. Zbl 1185.14041Hauenstein, Jonathan D.; Migliore, Juan C.; Peterson, Chris; Sommese, Andrew J. 2 2009 Software for numerical algebraic geometry: a paradigm and progress towards its implementation. Zbl 1143.65344Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. II 66 2008 Adaptive multiprecision path tracking. Zbl 1162.65026Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler II, Charles W. 41 2008 Solving polynomial systems equation by equation. Zbl 1136.65052Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 10 2008 Exceptional sets and fiber products. Zbl 1151.14041Sommese, Andrew J.; Wampler, Charles W. 7 2008 Finding all real points of a complex curve. Zbl 1136.65050Lu, Ye; Bates, Daniel J.; Sommese, Andrew J.; Wampler, Charles W. 16 2007 Invariant curves for birational surface maps. Zbl 1115.14007Diller, Jeffrey; Jackson, Daniel; Sommese, Andrew 15 2007 A numerical-symbolic algorithm for computing the multiplicity of a component of an algebraic set. Zbl 1100.65046Bates, Dan; Peterson, Chris; Sommese, Andrew J. 13 2006 Solution of polynomial systems derived from differential equations. Zbl 1086.65075Allgower, E. L.; Bates, D. J.; Sommese, A. J.; Wampler, C. W. 11 2006 The numerical solution of systems of polynomials. Arising in engineering and science. Zbl 1091.65049Sommese, Andrew J.; Wampler, Charles W. II 229 2005 Introduction to numerical algebraic geometry. Zbl 1152.14313Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 15 2005 An intrinsic homotopy for intersecting algebraic varieties. Zbl 1108.13309Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 7 2005 Notes on very ample vector bundles on 3-folds. Zbl 1093.14061Maeda, Hidetoshi; Sommese, Andrew J. 2 2005 Homotopies for intersecting solution components of polynomial systems. Zbl 1108.13308Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 13 2004 Numerical factorization of multivariate complex polynomials. Zbl 1147.13302Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 11 2004 Ample vector bundles and branched coverings, II. Zbl 1071.14018Peternell, Thomas; Sommese, Andrew J. 5 2004 Chern numbers of ample vector bundles on toric surfaces. Zbl 1023.14026Di Rocco, Sandra; Sommese, Andrew J. 4 2004 Numerical irreducible decomposition. Zbl 1027.65066Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 6 2003 Ample vector bundles with zero loci having a hyperelliptic curve section. Zbl 1050.14034Lanteri, Antonio; Sommese, Andrew J. 3 2003 Symmetric functions applied to decomposing solution sets of polynomial systems. Zbl 1034.65034Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 31 2002 A method for tracking singular paths with application to the numerical irreducible decomposition. Zbl 1014.65035Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 6 2002 Very ample vector bundles of curve genus two. Zbl 1001.14015Maeda, Hidetoshi; Sommese, Andrew J. 3 2002 Reducible hyperplane sections. II. Zbl 1048.14019Beltrametti, M. C.; Chandler, K. A.; Sommese, A. J. 3 2002 Piecewise linear approximation of smooth compact fibers. Zbl 1028.65054Allgower, Eugene L.; Sommese, Andrew J. 2 2002 Numerical decomposition of the solution sets of polynomial systems into irreducible components. Zbl 1002.65060Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 45 2001 Using monodromy to decompose solution sets of polynomial systems into irreducible components. Zbl 0990.65051Sommese, A. J.; Verschelde, J.; Wampler, C. W. 26 2001 Numerical irreducible decomposition using projections from points on the components. Zbl 1061.68593Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 15 2001 Line bundles for which a projectivized jet bundle is a product. Zbl 0962.14008Di Rocco, Sandra; Sommese, Andrew J. 8 2001 On the bicanonical map of a surface section of a threefold. Zbl 1082.14521Beltrametti, M. C.; Sommese, A. J. 1 2001 Numerical homotopies to compute generic points on positive dimensional algebraic sets. Zbl 0982.65070Sommese, Andrew J.; Verschelde, Jan 21 2000 Projective contact manifolds. Zbl 0994.53024Kebekus, Stefan; Peternell, Thomas; Sommese, Andrew J.; Wiśniewski, Jarosław A. 13 2000 Algorithm 801: POLSYS_PLP. A partitioned linear product homotopy code for solving polynomial systems of equations. Zbl 1137.65353Wise, Steven M.; Sommese, Andrew J.; Watson, Layne T. 10 2000 Ample vector bundles and branched coverings. Zbl 0982.14025Peternell, Thomas; Sommese, Andrew J. 7 2000 Discriminant loci of varieties with smooth normalization. Zbl 0976.14007Lanteri, A.; Palleschi, M.; Sommese, A. J. 5 2000 Projective manifolds with small pluridegrees. Zbl 0954.14005Beltrametti, Mauro C.; Sommese, Andrew J. 3 2000 Projections from subvarieties. Zbl 1078.14008Beltrametti, Mauro C.; Howard, Alan; Schneider, Michael; Sommese, Andrew J. 1 2000 Kodaira dimension of subvarieties. Zbl 1077.14515Peternell, Thomas; Schneider, Michael; Sommese, Andrew J. 4 1999 Reducible hyperplane sections. I. Zbl 0973.14018Chandler, Karen A.; Howard, Alan; Sommese, Andrew J. 4 1999 On the degree and the birationality of the second adjunction mapping. Zbl 1067.14517Beltrametti, Mauro C.; Sommese, Andrew J. 3 1999 On generation of jets for vector bundles. Zbl 0962.14009Beltrametti, Mauro C.; Di Rocco, Sandra; Sommese, Andrew J. 2 1999 On higher order embeddings of Fano threefolds by the anticanoncial linear system. Zbl 0937.14028Beltrametti, Mauro C.; Di Rocco, Sandra; Sommese, Andrew J. 3 1998 Del Pezzo surfaces as hyperplane sections. Zbl 0930.14025Lanteri, Antonio; Palleschi, Marino; Sommese, Andrew J. 9 1997 On the second adjunction mapping. The case of a 1-dimensional image. Zbl 0890.14005Beltrametti, Mauro C.; Sommese, Andrew J. 4 1997 What we know about the second adjunction mapping. Zbl 1011.14015Sommese, Andrew J. 2 1997 On the second adjunction mapping and the very ampleness of the triadjoint bundle. Zbl 0901.14003Beltrametti, Mauro C.; Sommese, Andrew J. 1 1997 Numerical algebraic geometry. Zbl 0856.65054Sommese, Andrew J.; Wampler, Charles W. 26 1996 Notes on embeddings of blowups. Zbl 0881.14007Beltrametti, Mauro C.; Sommese, Andrew J. 15 1996 On the discriminant locus of an ample and spanned line bundle. – Appendix: On the nefness of the Chern classes of the first jet bundle. Zbl 0851.14002Lanteri, Antonio; Palleschi, Marino; Sommese, Andrew J. 10 1996 Chern inequalities and spannedness of adjoint bundles. Zbl 0870.14009Beltrametti, Mauro C.; Schneider, Michael; Sommese, Andrew J. 8 1996 Ample and spanned vector bundles of minimal curve genus. Zbl 0853.14022Lanteri, Antonio; Maeda, Hidetoshi; Sommese, Andrew J. 5 1996 The adjunction theory of complex projective varieties. Zbl 0845.14003Beltrametti, Mauro C.; Sommese, Andrew J. 171 1995 A product-decomposition bound for Bézout numbers. Zbl 0854.65038Morgan, Alexander P.; Sommese, Andrew J.; Wampler, Charles W. 14 1995 On the dimension of the adjoint linear system for threefolds. Zbl 0857.14001Beltrametti, M. C.; Sommese, A. J. 11 1995 Double covers of \(\mathbb{P}^ n\) as very ample divisors. Zbl 0820.14005Lanteri, Antonio; Palleschi, Marino; Sommese, Andrew J. 4 1995 Some special properties of the adjunction theory for 3-folds in \(\mathbb{P}^ 5\). Zbl 0836.14023Beltrametti, Mauro C.; Schneider, Michael; Sommese, Andrew J. 4 1995 Projective surfaces with \(k\)-very ample line bundles of degree \(\leq 4k + 4\). Zbl 0841.14033Ballico, Edoardo; Sommese, Andrew J. 8 1994 On triple covers of \(\mathbb{P}^ n\) as very ample divisors. Zbl 0841.14003Lanteri, A.; Palleschi, M.; Sommese, A. J. 5 1994 On the dimension of the adjoint linear system for quadric fibrations. Zbl 0848.14002Beltrametti, M. C.; Besana, G. M.; Sommese, A. J. 3 1994 ...and 92 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,351 Authors 76 Sommese, Andrew John 57 Lanteri, Antonio 54 Hauenstein, Jonathan D. 34 Fukuma, Yoshiaki 29 Ballico, Edoardo 29 Beltrametti, Mauro C. 26 Hao, Wenrui 19 Di Rocco, Sandra 18 Peternell, Thomas Martin 18 Sottile, Frank 18 Wampler, Charles W. II 17 Andreatta, Marco 17 Fania, Maria Lucia 17 Verschelde, Jan 16 Sturmfels, Bernd 16 Wiśńiewski, Jarosław Antoni 15 Hu, Bei 15 Occhetta, Gianluca 13 Bates, Daniel J. 13 Peterson, Chris 12 Leykin, Anton 12 Rodriguez, Jose Israel 12 Wu, Wenyuan 10 Novelli, Carla 10 Tironi, Andrea Luigi 9 Eklund, David 9 Mehta, Dhagash 9 Ottaviani, Giorgio Maria 9 Schneider, Michael 8 Bernardi, Alessandra 8 Chiantini, Luca 8 Kebekus, Stefan 8 Solá-Conde, Luis-Eduardo 8 Szemberg, Tomasz 8 Telen, Simon 7 Besana, Gian Mario 7 Breiding, Paul 7 Chu, Moody T. 7 Ciliberto, Ciro 7 Ein, Lawrence Man Hon 7 Flamini, Flaminio 7 Livorni, Elvira Laura 7 Lopez, Angelo Felice 7 Morgan, Alexander P. 7 Mourrain, Bernard 7 Palleschi, Marino 7 Romano, Eleonora Anna 7 Szántó, Ágnes 6 Badescu, Lucian 6 Biancofiore, Aldo 6 Catanese, Fabrizio M. E. 6 Fujita, Takao 6 Galligo, André 6 Helmer, Martin 6 Laytimi, Fatima 6 Mella, Massimiliano 6 Muñoz, Roberto 6 Nepomechie, Rafael I. 6 Noma, Atsushi 6 Ranestad, Kristian 6 Safey El Din, Mohab 6 Yu, Bo 6 Zhang, Yongtao 5 Angelini, Elena 5 Bai, Fengshan 5 Barton, Michael H. 5 Beltrán, Carlos E. 5 Chen, Changbo 5 Chen, Tianran 5 Greb, Daniel 5 Höring, Andreas 5 Huang, Yaodan 5 Hwang, Jun-Muk 5 Ionescu, Paltin 5 Jeronimo, Gabriela 5 Lazarsfeld, Robert Kendall 5 Lee, Tsung-Lin 5 Li, Tien-Yien 5 Mallavibarrena, Raquel 5 Niemerg, Matthew E. 5 Regan, Margaret H. 5 Schicho, Josef 5 Schost, Éric 5 Staglianò, Giovanni 5 Turrini, Cristina 5 Watson, Layne Terry 5 Xing, Ruixiang 5 Zeng, Zhonggang 5 Zhang, Zhengce 5 Zhi, Lihong 4 Alzati, Alberto 4 Araujo, Carolina 4 Bauer, Thomas 4 Brysiewicz, Taylor 4 Buczyński, Jarosław 4 Campana, Frédéric 4 Carrell, James B. 4 de Fernex, Tommaso 4 del Campo, Abraham Martín 4 Dong, Bo ...and 1,251 more Authors all top 5 Cited in 263 Serials 68 Journal of Symbolic Computation 56 Mathematische Annalen 43 Manuscripta Mathematica 39 Mathematische Zeitschrift 37 Journal of Pure and Applied Algebra 35 Transactions of the American Mathematical Society 27 Duke Mathematical Journal 27 Proceedings of the American Mathematical Society 26 Applied Mathematics and Computation 25 Journal of Algebra 24 Communications in Algebra 24 Journal of Computational and Applied Mathematics 20 Advances in Geometry 18 Mathematics of Computation 18 Advances in Mathematics 18 Inventiones Mathematicae 17 Compositio Mathematica 17 Foundations of Computational Mathematics 16 Mathematische Nachrichten 16 International Journal of Mathematics 15 Annales de l’Institut Fourier 15 Geometriae Dedicata 15 Nagoya Mathematical Journal 15 Theoretical Computer Science 15 Journal of Algebraic Geometry 13 Annali di Matematica Pura ed Applicata. 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Mathematics 3 Journal of Mathematical Biology 3 Nonlinearity 3 Bulletin of Mathematical Biology 3 Collectanea Mathematica 3 Glasgow Mathematical Journal 3 Le Matematiche 3 Mathematics and Computers in Simulation 3 Osaka Journal of Mathematics 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Siberian Mathematical Journal 3 Tôhoku Mathematical Journal. Second Series 3 Tokyo Journal of Mathematics 3 Science in China. Series A 3 Differential Geometry and its Applications 3 Journal of Global Optimization 3 Applied Mathematical Modelling 3 Selecta Mathematica. New Series ...and 163 more Serials all top 5 Cited in 57 Fields 845 Algebraic geometry (14-XX) 290 Numerical analysis (65-XX) 164 Several complex variables and analytic spaces (32-XX) 130 Commutative algebra (13-XX) 123 Computer science (68-XX) 74 Partial differential equations (35-XX) 73 Differential geometry (53-XX) 50 Linear and multilinear algebra; matrix theory (15-XX) 49 Biology and other natural sciences (92-XX) 42 Field theory and polynomials (12-XX) 38 Functions of a complex variable (30-XX) 34 Quantum theory (81-XX) 32 Convex and discrete geometry (52-XX) 31 Dynamical systems and ergodic theory (37-XX) 30 Operations research, mathematical programming (90-XX) 28 Mechanics of particles and systems (70-XX) 24 Manifolds and cell complexes (57-XX) 22 Real functions (26-XX) 21 Ordinary differential equations (34-XX) 18 Global analysis, analysis on manifolds (58-XX) 17 Topological groups, Lie groups (22-XX) 17 Statistical mechanics, structure of matter (82-XX) 15 Nonassociative rings and algebras (17-XX) 15 Algebraic topology (55-XX) 14 Combinatorics (05-XX) 13 Statistics (62-XX) 13 Fluid mechanics (76-XX) 13 Systems theory; control (93-XX) 12 Group theory and generalizations (20-XX) 10 Associative rings and algebras (16-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Number theory (11-XX) 9 Geometry (51-XX) 8 Mechanics of deformable solids (74-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Approximations and expansions (41-XX) 5 Relativity and gravitational theory (83-XX) 5 Information and communication theory, circuits (94-XX) 4 General and overarching topics; collections (00-XX) 4 Mathematical logic and foundations (03-XX) 4 Category theory; homological algebra (18-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 History and biography (01-XX) 3 Special functions (33-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 3 Functional analysis (46-XX) 3 General topology (54-XX) 3 Optics, electromagnetic theory (78-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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