Edit Profile (opens in new tab) Donnelly, Harold Co-Author Distance Author ID: donnelly.harold Published as: Donnelly, Harold; Donnelly, H. Homepage: https://www.math.purdue.edu/people/profile/hgd.html External Links: MGP Documents Indexed: 99 Publications since 1973 1 Further Contribution Reviewing Activity: 25 Reviews Co-Authors: 8 Co-Authors with 21 Joint Publications 377 Co-Co-Authors all top 5 Co-Authors 77 single-authored 8 Fefferman, Charles Louis 4 Li, Peter 4 Singer, Isadore Manuel 3 Atiyah, Michael Francis 2 Garofalo, Nicola 1 Blum, Lenore 1 Bryant, Robert L. 1 Burns, Daniel M. jun. 1 Cheeger, Jeff 1 Connes, Alain 1 Ebin, David G. 1 Griffiths, Phillip Augustus 1 Guillemin, Victor W. 1 Palais, Richard S. 1 Patodi, Vijay Kumar 1 Rossi, Hugo 1 Schultz, Reinhard E. 1 Simons, James 1 Singer, Elliot 1 Singer, Natasha 1 Stanton, Nancy K. 1 Sternberg, Shlomo 1 Xavier, Frederico V. all top 5 Serials 9 Proceedings of the American Mathematical Society 7 Mathematische Zeitschrift 6 Illinois Journal of Mathematics 6 Mathematische Annalen 6 Michigan Mathematical Journal 5 Indiana University Mathematics Journal 4 American Journal of Mathematics 4 Topology 4 Transactions of the American Mathematical Society 3 Inventiones Mathematicae 3 Journal of Differential Geometry 3 Communications in Partial Differential Equations 3 Annals of Mathematics. Second Series 2 Houston Journal of Mathematics 2 Journal of Mathematical Physics 2 Duke Mathematical Journal 2 Journal of Functional Analysis 2 Annals of Global Analysis and Geometry 2 The Journal of Geometric Analysis 2 Proceedings of the National Academy of Sciences of the United States of America 1 American Mathematical Monthly 1 Journal d’Analyse Mathématique 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Geometriae Dedicata 1 Manuscripta Mathematica 1 Pacific Journal of Mathematics 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Notices of the American Mathematical Society 1 The Asian Journal of Mathematics 1 Pure and Applied Mathematics Quarterly all top 5 Fields 80 Global analysis, analysis on manifolds (58-XX) 63 Differential geometry (53-XX) 19 Partial differential equations (35-XX) 9 Manifolds and cell complexes (57-XX) 7 Several complex variables and analytic spaces (32-XX) 5 Number theory (11-XX) 5 Operator theory (47-XX) 3 Potential theory (31-XX) 2 Algebraic geometry (14-XX) 2 Algebraic topology (55-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 83 Publications have been cited 1,143 times in 863 Documents Cited by ▼ Year ▼ Nodal sets of eigenfunctions on Riemannian manifolds. Zbl 0659.58047 Donnelly, Harold; Fefferman, Charles 190 1988 \(L^ 2\)-cohomology and index theorem for the Bergman metric. Zbl 0532.58027 Donnelly, Harold; Fefferman, Charles 95 1983 Pure point spectrum and negative curvature for noncompact manifolds. Zbl 0416.58025 Donnelly, Harold; Li, Peter 61 1979 On the essential spectrum of a complete Riemannian manifold. Zbl 0463.53027 Donnelly, Harold 51 1981 Eta invariants for G-spaces. Zbl 0402.58006 Donnelly, Harold 47 1978 On the differential form spectrum of negatively curved Riemannian manifolds. Zbl 0547.58034 Donnelly, Harold; Xavier, Frederico 46 1984 Nodal sets for eigenfunctions of the Laplacian on surfaces. Zbl 0702.58077 Donnelly, Harold; Fefferman, Charles 39 1990 Asymptotic expansions for the compact quotients of properly discontinuous group actions. Zbl 0411.53033 Donnelly, Harold 32 1979 The differential form spectrum of hyperbolic space. Zbl 0464.58020 Donnelly, Harold 29 1981 Eta invariants, signature defects of cusps, and values of L-functions. Zbl 0531.58048 Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 25 1983 Lower bounds for the eigenvalues of Riemannian manifolds. Zbl 0488.58022 Donnelly, Harold; Li, Peter 22 1982 Eigenvalues embedded in the continuum for negatively curved manifolds. Zbl 0463.53028 Donnelly, Harold 20 1981 \(L_ 2\) cohomology of pseudoconvex domains with complete Kähler metric. Zbl 0830.32010 Donnelly, Harold 20 1994 \(L_ 2\) cohomology of the Bergman metric for weakly pseudoconvex domains. Zbl 0880.32007 Donnelly, Harold 19 1997 On the cuspidal spectrum for finite volume symmetric spaces. Zbl 0494.58029 Donnelly, Harold 18 1982 Spectrum of the Laplacian on asymptotically Euclidean spaces. Zbl 0963.58010 Donnelly, Harold 17 1999 Nodal sets of eigenfunctions: Riemannian manifolds with boundary. Zbl 0697.58055 Donnelly, Harold; Fefferman, Charles 17 1990 Exhaustion functions and the spectrum of Riemannian manifolds. Zbl 0909.58055 Donnelly, Harold 16 1997 Spectrum and the fixed point sets of isometries. I. Zbl 0319.53031 Donnelly, Harold 15 1976 \(G\)-spaces, the asymptotic splitting of \(L2(M)\) into irreducibles. Zbl 0379.53019 Donnelly, Harold 15 1978 Spectrum and the fixed point sets of isometries. II. Zbl 0341.53023 Donnelly, Harold; Patodi, V. K. 14 1977 Riemannian manifolds whose Laplacians have purely continuous spectrum. Zbl 0735.58033 Donnelly, Harold; Garofalo, Nicola 14 1992 Quantum unique ergodicity. Zbl 1027.58024 Donnelly, Harold 14 2003 Bounded harmonic functions and positive Ricci curvature. Zbl 0604.30051 Donnelly, Harold 13 1986 Negative curvature and embedded eigenvalues. Zbl 0699.53052 Donnelly, Harold 13 1990 Bounds of eigenfunctions of the Laplacian on compact Riemannian manifolds. Zbl 0991.58006 Donnelly, Harold 12 2001 Essential spectrum and heat kernel. Zbl 0634.58031 Donnelly, Harold 12 1987 Growth and geometry of eigenfunctions of the Laplacian. Zbl 0699.58063 Donnelly, H.; Fefferman, C. 11 1990 Spectral geometry for certain noncompact Riemannian manifolds. Zbl 0432.58022 Donnelly, Harold 10 1979 \(G\)-spaces, the asymptotic splitting of \(L^2(M)\) into irreducibles. Zbl 0368.53028 Donnelly, Harold 10 1978 Eigenvalue estimates for certain noncompact manifolds. Zbl 0591.58033 Donnelly, Harold 10 1984 Uniqueness of positive solutions of the heat equation. Zbl 0615.53034 Donnelly, Harold 10 1987 Nodal domains and growth of harmonic functions on noncompact manifolds. Zbl 0784.31006 Donnelly, Harold; Fefferman, Charles 10 1992 Compactness of isospectral potentials. Zbl 1062.58033 Donnelly, Harold 9 2005 Spectral geometry and invariants from differential topology. Zbl 0306.58019 Donnelly, Harold 8 1975 Schrödinger operators on manifolds, essential self-adjointness, and absence of eigenvalues. Zbl 0912.58043 Donnelly, Harold; Garofalo, Nicola 8 1997 Compact group actions and maps into aspherical manifolds. Zbl 0507.57030 Donnelly, Harold; Schultz, Reinhard 8 1982 On the point spectrum for finite volume symmetric spaces of negative curvature. Zbl 0464.35066 Donnelly, Harold 7 1981 Heat equation and the volume of tubes. Zbl 0293.35035 Donnelly, Harold 7 1975 Elliptic operators and covers of Riemannian manifolds. Zbl 0871.58075 Donnelly, Harold 7 1996 Eigenfunctions of the Laplacian on compact Riemannian manifolds. Zbl 1182.58011 Donnelly, Harold 7 2006 Spectral invariants of the second variation operator. Zbl 0354.53038 Donnelly, Harold 6 1977 Harmonic functions on manifolds on nonnegative Ricci curvature. Zbl 0986.53017 Donnelly, Harold 6 2001 Signature defects of cusps and values of L-functions: The nonsplit case. Zbl 0577.58030 Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 6 1984 Eigenforms of the Laplacian on complete Riemannian manifolds. Zbl 0552.58027 Donnelly, Harold 6 1984 On the analytic torsion and eta invariant for negatively curved manifolds. Zbl 0425.53034 Donnelly, Harold 5 1979 Symmetric Einstein spaces and spectral geometry. Zbl 0299.53033 Donnelly, Harold 5 1974 Topology and Einstein Kaehler metrics. Zbl 0332.32004 Donnelly, Harold 5 1976 Fixed point formula for the Bergman kernel. Zbl 0603.32018 Donnelly, Harold; Fefferman, Charles 5 1986 Local index theorem for families. Zbl 0657.58039 Donnelly, Harold 5 1988 On the spectrum of towers. Zbl 0512.58038 Donnelly, Harold 5 1983 Heat equation and compactifications of complete Riemannian manifolds. Zbl 0546.53029 Donnelly, Harold; Li, Peter 5 1984 Lower bounds for the eigenvalues of negatively curved manifolds. Zbl 0413.58020 Donnelly, Harold; Li, Peter 4 1980 On \(L^ 2-\)Betti numbers for Abelian groups. Zbl 0462.58029 Donnelly, Harold 4 1981 A spectral condition determining the Kaehler property. Zbl 0295.53038 Donnelly, Harold 4 1975 Minakshisundaram’s coefficients on Kaehler manifolds. Zbl 0309.53065 Donnelly, Harold 4 1975 On the wave equation asymptotics of a compact negatively curved surface. Zbl 0382.53039 Donnelly, H. 4 1978 Nodal sets for sums of eigenfunctions on Riemannian manifolds. Zbl 0806.58051 Donnelly, Harold 4 1994 Dirichlet problem at infinity for harmonic maps: Rank one symmetric spaces. Zbl 0812.58020 Donnelly, Harold 4 1994 Stability theorems for the continuous spectrum of a negatively curved manifold. Zbl 0474.53042 Donnelly, Harold 4 1981 Spectral theory of complete Riemannian manifolds. Zbl 1232.58022 Donnelly, Harold 4 2010 Chern-Simons invariants of reductive homogeneous spaces. Zbl 0293.53018 Donnelly, Harold 3 1977 Eta invariant of a fibered manifold. Zbl 0328.55010 Donnelly, Harold 3 1976 Invariance theory of Hermitian manifolds. Zbl 0344.53043 Donnelly, Harold 3 1976 Spectrum of domains in Riemannian manifolds. Zbl 0631.53034 Donnelly, Harold 3 1987 Embedded eigenvalues for asymptotically flat surfaces. Zbl 0797.58088 Donnelly, Harold 3 1993 Exceptional sequences of eigenfunctions for hyperbolic manifolds. Zbl 1181.58021 Donnelly, Harold 3 2007 Spectral theory for tensor products of Hermitian holomorphic line bundles. Zbl 1036.58027 Donnelly, Harold 3 2003 On a problem concerning Euler’s phi-function. Zbl 0275.10007 Donnelly, Harold 2 1973 Heat equation asymptotics with torsion. Zbl 0571.53026 Donnelly, Harold 2 1985 Counting nodal domains in Riemannian manifolds. Zbl 1296.58018 Donnelly, Harold 2 2014 Domains in Riemannian manifolds and inverse spectral geometry. Zbl 0731.53042 Donnelly, Harold; Lee, Jeffrey 2 1991 On the spectral theory of simply connected negatively curved surfaces. Zbl 0438.58025 Donnelly, Harold 1 1980 Asymptotic expansions for the solutions of certain nonlinear parabolic problems. II. Zbl 0454.35051 Donnelly, Harold 1 1980 Eta-invariants and the boundaries of Hermitian manifolds. Zbl 0355.53018 Donnelly, Harold 1 1977 Asymptotic Dirichlet problem for harmonic maps with bounded image. Zbl 1014.58007 Donnelly, Harold 1 2002 Quasiconformal harmonic maps into negatively curved manifolds. Zbl 0993.58012 Donnelly, Harold 1 2001 Positive solutions of the heat and eigenvalue equations on Riemannian manifolds. Zbl 0611.53041 Donnelly, Harold 1 1986 Rapid decay of eigenfunctions. Zbl 0699.58019 Donnelly, Harold 1 1989 Spectral gap for convex planar domains. Zbl 1228.35248 Donnelly, Harold 1 2011 Geometry and analysis of Shimizu L-functions. Zbl 0503.12007 Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 1 1982 Heat kernel remainders and inverse spectral theory. Zbl 0712.58058 Donnelly, Harold; Lee, Jeffrey 1 1991 Winding numbers and eigenfunctions of the Laplacian. Zbl 1270.58017 Donnelly, Harold 1 2013 Counting nodal domains in Riemannian manifolds. Zbl 1296.58018 Donnelly, Harold 2 2014 Winding numbers and eigenfunctions of the Laplacian. Zbl 1270.58017 Donnelly, Harold 1 2013 Spectral gap for convex planar domains. Zbl 1228.35248 Donnelly, Harold 1 2011 Spectral theory of complete Riemannian manifolds. Zbl 1232.58022 Donnelly, Harold 4 2010 Exceptional sequences of eigenfunctions for hyperbolic manifolds. Zbl 1181.58021 Donnelly, Harold 3 2007 Eigenfunctions of the Laplacian on compact Riemannian manifolds. Zbl 1182.58011 Donnelly, Harold 7 2006 Compactness of isospectral potentials. Zbl 1062.58033 Donnelly, Harold 9 2005 Quantum unique ergodicity. Zbl 1027.58024 Donnelly, Harold 14 2003 Spectral theory for tensor products of Hermitian holomorphic line bundles. Zbl 1036.58027 Donnelly, Harold 3 2003 Asymptotic Dirichlet problem for harmonic maps with bounded image. Zbl 1014.58007 Donnelly, Harold 1 2002 Bounds of eigenfunctions of the Laplacian on compact Riemannian manifolds. Zbl 0991.58006 Donnelly, Harold 12 2001 Harmonic functions on manifolds on nonnegative Ricci curvature. Zbl 0986.53017 Donnelly, Harold 6 2001 Quasiconformal harmonic maps into negatively curved manifolds. Zbl 0993.58012 Donnelly, Harold 1 2001 Spectrum of the Laplacian on asymptotically Euclidean spaces. Zbl 0963.58010 Donnelly, Harold 17 1999 \(L_ 2\) cohomology of the Bergman metric for weakly pseudoconvex domains. Zbl 0880.32007 Donnelly, Harold 19 1997 Exhaustion functions and the spectrum of Riemannian manifolds. Zbl 0909.58055 Donnelly, Harold 16 1997 Schrödinger operators on manifolds, essential self-adjointness, and absence of eigenvalues. Zbl 0912.58043 Donnelly, Harold; Garofalo, Nicola 8 1997 Elliptic operators and covers of Riemannian manifolds. Zbl 0871.58075 Donnelly, Harold 7 1996 \(L_ 2\) cohomology of pseudoconvex domains with complete Kähler metric. Zbl 0830.32010 Donnelly, Harold 20 1994 Nodal sets for sums of eigenfunctions on Riemannian manifolds. Zbl 0806.58051 Donnelly, Harold 4 1994 Dirichlet problem at infinity for harmonic maps: Rank one symmetric spaces. Zbl 0812.58020 Donnelly, Harold 4 1994 Embedded eigenvalues for asymptotically flat surfaces. Zbl 0797.58088 Donnelly, Harold 3 1993 Riemannian manifolds whose Laplacians have purely continuous spectrum. Zbl 0735.58033 Donnelly, Harold; Garofalo, Nicola 14 1992 Nodal domains and growth of harmonic functions on noncompact manifolds. Zbl 0784.31006 Donnelly, Harold; Fefferman, Charles 10 1992 Domains in Riemannian manifolds and inverse spectral geometry. Zbl 0731.53042 Donnelly, Harold; Lee, Jeffrey 2 1991 Heat kernel remainders and inverse spectral theory. Zbl 0712.58058 Donnelly, Harold; Lee, Jeffrey 1 1991 Nodal sets for eigenfunctions of the Laplacian on surfaces. Zbl 0702.58077 Donnelly, Harold; Fefferman, Charles 39 1990 Nodal sets of eigenfunctions: Riemannian manifolds with boundary. Zbl 0697.58055 Donnelly, Harold; Fefferman, Charles 17 1990 Negative curvature and embedded eigenvalues. Zbl 0699.53052 Donnelly, Harold 13 1990 Growth and geometry of eigenfunctions of the Laplacian. Zbl 0699.58063 Donnelly, H.; Fefferman, C. 11 1990 Rapid decay of eigenfunctions. Zbl 0699.58019 Donnelly, Harold 1 1989 Nodal sets of eigenfunctions on Riemannian manifolds. Zbl 0659.58047 Donnelly, Harold; Fefferman, Charles 190 1988 Local index theorem for families. Zbl 0657.58039 Donnelly, Harold 5 1988 Essential spectrum and heat kernel. Zbl 0634.58031 Donnelly, Harold 12 1987 Uniqueness of positive solutions of the heat equation. Zbl 0615.53034 Donnelly, Harold 10 1987 Spectrum of domains in Riemannian manifolds. Zbl 0631.53034 Donnelly, Harold 3 1987 Bounded harmonic functions and positive Ricci curvature. Zbl 0604.30051 Donnelly, Harold 13 1986 Fixed point formula for the Bergman kernel. Zbl 0603.32018 Donnelly, Harold; Fefferman, Charles 5 1986 Positive solutions of the heat and eigenvalue equations on Riemannian manifolds. Zbl 0611.53041 Donnelly, Harold 1 1986 Heat equation asymptotics with torsion. Zbl 0571.53026 Donnelly, Harold 2 1985 On the differential form spectrum of negatively curved Riemannian manifolds. Zbl 0547.58034 Donnelly, Harold; Xavier, Frederico 46 1984 Eigenvalue estimates for certain noncompact manifolds. Zbl 0591.58033 Donnelly, Harold 10 1984 Signature defects of cusps and values of L-functions: The nonsplit case. Zbl 0577.58030 Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 6 1984 Eigenforms of the Laplacian on complete Riemannian manifolds. Zbl 0552.58027 Donnelly, Harold 6 1984 Heat equation and compactifications of complete Riemannian manifolds. Zbl 0546.53029 Donnelly, Harold; Li, Peter 5 1984 \(L^ 2\)-cohomology and index theorem for the Bergman metric. Zbl 0532.58027 Donnelly, Harold; Fefferman, Charles 95 1983 Eta invariants, signature defects of cusps, and values of L-functions. Zbl 0531.58048 Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 25 1983 On the spectrum of towers. Zbl 0512.58038 Donnelly, Harold 5 1983 Lower bounds for the eigenvalues of Riemannian manifolds. Zbl 0488.58022 Donnelly, Harold; Li, Peter 22 1982 On the cuspidal spectrum for finite volume symmetric spaces. Zbl 0494.58029 Donnelly, Harold 18 1982 Compact group actions and maps into aspherical manifolds. Zbl 0507.57030 Donnelly, Harold; Schultz, Reinhard 8 1982 Geometry and analysis of Shimizu L-functions. Zbl 0503.12007 Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 1 1982 On the essential spectrum of a complete Riemannian manifold. Zbl 0463.53027 Donnelly, Harold 51 1981 The differential form spectrum of hyperbolic space. Zbl 0464.58020 Donnelly, Harold 29 1981 Eigenvalues embedded in the continuum for negatively curved manifolds. Zbl 0463.53028 Donnelly, Harold 20 1981 On the point spectrum for finite volume symmetric spaces of negative curvature. Zbl 0464.35066 Donnelly, Harold 7 1981 On \(L^ 2-\)Betti numbers for Abelian groups. Zbl 0462.58029 Donnelly, Harold 4 1981 Stability theorems for the continuous spectrum of a negatively curved manifold. Zbl 0474.53042 Donnelly, Harold 4 1981 Lower bounds for the eigenvalues of negatively curved manifolds. Zbl 0413.58020 Donnelly, Harold; Li, Peter 4 1980 On the spectral theory of simply connected negatively curved surfaces. Zbl 0438.58025 Donnelly, Harold 1 1980 Asymptotic expansions for the solutions of certain nonlinear parabolic problems. II. Zbl 0454.35051 Donnelly, Harold 1 1980 Pure point spectrum and negative curvature for noncompact manifolds. Zbl 0416.58025 Donnelly, Harold; Li, Peter 61 1979 Asymptotic expansions for the compact quotients of properly discontinuous group actions. Zbl 0411.53033 Donnelly, Harold 32 1979 Spectral geometry for certain noncompact Riemannian manifolds. Zbl 0432.58022 Donnelly, Harold 10 1979 On the analytic torsion and eta invariant for negatively curved manifolds. Zbl 0425.53034 Donnelly, Harold 5 1979 Eta invariants for G-spaces. Zbl 0402.58006 Donnelly, Harold 47 1978 \(G\)-spaces, the asymptotic splitting of \(L2(M)\) into irreducibles. Zbl 0379.53019 Donnelly, Harold 15 1978 \(G\)-spaces, the asymptotic splitting of \(L^2(M)\) into irreducibles. Zbl 0368.53028 Donnelly, Harold 10 1978 On the wave equation asymptotics of a compact negatively curved surface. Zbl 0382.53039 Donnelly, H. 4 1978 Spectrum and the fixed point sets of isometries. II. Zbl 0341.53023 Donnelly, Harold; Patodi, V. K. 14 1977 Spectral invariants of the second variation operator. Zbl 0354.53038 Donnelly, Harold 6 1977 Chern-Simons invariants of reductive homogeneous spaces. Zbl 0293.53018 Donnelly, Harold 3 1977 Eta-invariants and the boundaries of Hermitian manifolds. Zbl 0355.53018 Donnelly, Harold 1 1977 Spectrum and the fixed point sets of isometries. I. Zbl 0319.53031 Donnelly, Harold 15 1976 Topology and Einstein Kaehler metrics. Zbl 0332.32004 Donnelly, Harold 5 1976 Eta invariant of a fibered manifold. Zbl 0328.55010 Donnelly, Harold 3 1976 Invariance theory of Hermitian manifolds. Zbl 0344.53043 Donnelly, Harold 3 1976 Spectral geometry and invariants from differential topology. Zbl 0306.58019 Donnelly, Harold 8 1975 Heat equation and the volume of tubes. Zbl 0293.35035 Donnelly, Harold 7 1975 A spectral condition determining the Kaehler property. Zbl 0295.53038 Donnelly, Harold 4 1975 Minakshisundaram’s coefficients on Kaehler manifolds. Zbl 0309.53065 Donnelly, Harold 4 1975 Symmetric Einstein spaces and spectral geometry. Zbl 0299.53033 Donnelly, Harold 5 1974 On a problem concerning Euler’s phi-function. Zbl 0275.10007 Donnelly, Harold 2 1973 all cited Publications top 5 cited Publications all top 5 Cited by 893 Authors 22 Donnelly, Harold 14 Zhu, Jiuyi 13 Ohsawa, Takeo 12 Chen, Bo-Yong 12 Wigman, Igor 10 Kukavica, Igor 10 Lu, Zhiqin 9 Wang, Feng-Yu 8 Błocki, Zbigniew 8 Brüning, Jochen 7 Gilkey, Peter B. 7 Guillemin, Victor W. 7 Keller, Matthias 7 Polymerakis, Panagiotis 7 Ramacher, Pablo 6 Banerjee, Agnid 6 Hua, Bobo 6 Jost, Jürgen 6 Lin, Fang Hua 6 Liu, Bo 6 Marinucci, Domenico 6 Müller, Werner 6 Rossi, Maurizia 6 Veselić, Ivan 6 Zelditch, Steve 5 Carron, Gilles 5 Charalambous, Nelia 5 Colbois, Bruno 5 Dryden, Emily B. 5 Garofalo, Nicola 5 Li, Peter 5 Logunov, Alexander Andreevich 5 Post, Olaf 5 Tautenhahn, Martin 5 Tian, Long 5 Wang, An 5 Wang, Hang 4 Biard, Séverine 4 Bismut, Jean-Michel 4 Davey, Blair 4 Enciso, Alberto 4 Georgiev, Bogdan 4 Helffer, Bernard 4 Hezari, Hamid 4 Ito, Kenichi 4 Kenig, Carlos Eduardo 4 Kumura, Hironori 4 Laurent, Camille 4 Léautaud, Matthieu 4 Lee, Kang-Hyurk 4 Ma, Xiaonan 4 Mathai, Varghese 4 Nadirashvili, Nikolai S. 4 Bessa, Gregório Pacelli 4 Pfaff, Jonathan 4 Rudnick, Zeév 4 Sartori, Andrea 4 Skibsted, Erik 4 Takegoshi, Kensho 4 Wang, Jenn-Nan 4 Weber, Andreas 4 Yang, Xiaoping 4 Yeung, Sai-Kee 4 Zhong, Chengchen 3 Arya, Vedansh 3 Ballmann, Hans Werner 3 Blomer, Valentin 3 Borah, Diganta 3 Bourgain, Jean 3 Brooks, Robert Wolfe 3 Bunke, Ulrich 3 Çamliyurt, Güher 3 Cammarota, Valentina 3 Chang, Shu-Cheng 3 Choi, Young-Jun 3 Christiansen, Tanya J. 3 Elmrabty, Adnane 3 Escobar, José Fernando 3 Fefferman, Charles Louis 3 Fornæss, John Erik 3 Freed, Daniel Stuart 3 Gordon, Carolyn S. 3 Grigor’yan, Alexander Asaturovich 3 Hoffmann-Ostenhof, Maria 3 Hoffmann-Ostenhof, Thomas 3 Jakobson, Dmitry 3 Ji, Lizhen 3 Krejčiřík, David 3 Li, Jiayu 3 Lima, Barnabé Pessoa 3 Liu, Wencai 3 Malinnikova, Eugenia 3 Mangoubi, Dan 3 Mari, Luciano 3 Matz, Jasmin 3 Montenegro, José Fábio Bezerra 3 Moroianu, Sergiu 3 Mukherjee, Mayukh 3 Ogata, Shoetsu 3 Pedon, Emmanuel ...and 793 more Authors all top 5 Cited in 196 Serials 41 Journal of Functional Analysis 40 Mathematische Zeitschrift 38 The Journal of Geometric Analysis 36 Transactions of the American Mathematical Society 27 Communications in Partial Differential Equations 25 Advances in Mathematics 25 Proceedings of the American Mathematical Society 24 Communications in Mathematical Physics 24 Mathematische Annalen 22 Annales de l’Institut Fourier 22 Duke Mathematical Journal 18 Inventiones Mathematicae 18 Annals of Global Analysis and Geometry 18 Calculus of Variations and Partial Differential Equations 16 Geometric and Functional Analysis. GAFA 13 Journal of Mathematical Physics 10 Journal of Mathematical Analysis and Applications 10 Journal of Differential Equations 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Annales Henri Poincaré 9 Journal of the European Mathematical Society (JEMS) 8 Tôhoku Mathematical Journal. Second Series 8 Potential Analysis 8 Science China. Mathematics 7 Journal of Geometry and Physics 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Journal of Spectral Theory 6 Compositio Mathematica 6 Geometriae Dedicata 6 Journal für die Reine und Angewandte Mathematik 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Bulletin of the American Mathematical Society. New Series 6 Journal of High Energy Physics 5 Journal d’Analyse Mathématique 5 Letters in Mathematical Physics 5 Manuscripta Mathematica 5 Nagoya Mathematical Journal 5 International Journal of Mathematics 5 Differential Geometry and its Applications 5 Bulletin des Sciences Mathématiques 5 Annals of Mathematics. Second Series 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Noncommutative Geometry 4 Rocky Mountain Journal of Mathematics 4 Acta Mathematica 4 Archiv der Mathematik 4 Bulletin de la Société Mathématique de France 4 Kodai Mathematical Journal 4 Mathematische Nachrichten 4 Memoirs of the American Mathematical Society 4 Results in Mathematics 4 Chinese Annals of Mathematics. Series B 4 Journal of the American Mathematical Society 4 Geometry & Topology 4 Communications on Pure and Applied Analysis 4 Analysis & PDE 3 Israel Journal of Mathematics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Functional Analysis and its Applications 3 Journal of Soviet Mathematics 3 Osaka Journal of Mathematics 3 Topology and its Applications 3 \(K\)-Theory 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Indagationes Mathematicae. New Series 3 Vietnam Journal of Mathematics 3 Mathematical Physics, Analysis and Geometry 3 Acta Mathematica Sinica. English Series 3 Journal of the Institute of Mathematics of Jussieu 3 Analysis and Mathematical Physics 3 Annales Mathématiques du Québec 2 Mathematical Notes 2 Arkiv för Matematik 2 Reviews in Mathematical Physics 2 Indiana University Mathematics Journal 2 Journal of Differential Geometry 2 Journal of the Mathematical Society of Japan 2 Journal of Number Theory 2 Michigan Mathematical Journal 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the Japan Academy. Series A 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Revista Matemática Iberoamericana 2 Forum Mathematicum 2 L’Enseignement Mathématique. 2e Série 2 SIAM Journal on Mathematical Analysis 2 Acta Mathematica Sinica. New Series 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Applied and Computational Harmonic Analysis 2 Bernoulli 2 Discrete and Continuous Dynamical Systems 2 The Journal of Fourier Analysis and Applications 2 Communications in Contemporary Mathematics 2 Algebraic & Geometric Topology 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Complex Analysis and Operator Theory 2 Kyoto Journal of Mathematics 2 Communications in Mathematics and Statistics ...and 96 more Serials all top 5 Cited in 48 Fields 470 Global analysis, analysis on manifolds (58-XX) 293 Partial differential equations (35-XX) 254 Differential geometry (53-XX) 115 Several complex variables and analytic spaces (32-XX) 62 Operator theory (47-XX) 53 Number theory (11-XX) 53 Manifolds and cell complexes (57-XX) 52 Quantum theory (81-XX) 48 Probability theory and stochastic processes (60-XX) 28 \(K\)-theory (19-XX) 27 Potential theory (31-XX) 24 Topological groups, Lie groups (22-XX) 23 Functions of a complex variable (30-XX) 21 Algebraic geometry (14-XX) 18 Functional analysis (46-XX) 16 Dynamical systems and ergodic theory (37-XX) 14 Group theory and generalizations (20-XX) 14 Abstract harmonic analysis (43-XX) 14 Algebraic topology (55-XX) 13 Combinatorics (05-XX) 11 Special functions (33-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Statistical mechanics, structure of matter (82-XX) 11 Relativity and gravitational theory (83-XX) 10 Measure and integration (28-XX) 8 Ordinary differential equations (34-XX) 8 Systems theory; control (93-XX) 7 Real functions (26-XX) 7 Fluid mechanics (76-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Convex and discrete geometry (52-XX) 6 Statistics (62-XX) 4 General topology (54-XX) 3 Geometry (51-XX) 2 History and biography (01-XX) 2 Nonassociative rings and algebras (17-XX) 2 Difference and functional equations (39-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year