Topic · Algebraic and Geometric Analysis
Most cited papers in Algebraic and Geometric Analysis
What are the most cited papers in Algebraic and Geometric Analysis?
The most cited paper in Algebraic and Geometric Analysis is "On Gauge Invariance and Vacuum Polarization" (Julian Schwinger, 1951), with 7,183 citations. Next come "CONTINUOUS INSPECTION SCHEMES" (4,771) and "Pseudoparticle solutions of the Yang-Mills equations" (2,908).
Showing 50 of 100 papers. Every paper with more than 428 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | On Gauge Invariance and Vacuum Polarization Julian Schwinger · Physical Review | Jun 1951 | 7,183 |
| 2 | CONTINUOUS INSPECTION SCHEMES E. S. Page · Biometrika | 1954 | 4,771 |
| 3 | Pseudoparticle solutions of the Yang-Mills equations Alexander A. Belavin, Alexander M. Polyakov, Arthur S. Schwartz et al. · Physics Letters B | Oct 1975 | 2,908 |
| 4 | Supergauge transformations in four dimensions Jane A. Wess, Bruno Zumino · Nuclear Physics B | Feb 1974 | 2,706 |
| 5 | Local phenomenological nucleon-nucleon potentials Roderick V. Reid · Annals of Physics | Dec 1968 | 2,597 |
| 6 | Field theories with « Superconductor » solutions Jared V. Goldstone · Il Nuovo Cimento | 1961 | 2,531 |
| 7 | Fourier integral operators. I Lars Hörmander · Acta Mathematica | 1971 | 2,434 |
| 8 | Structure of Phenomenological Lagrangians. I Sidney Coleman, Jane A. Wess, Bruno Zumino · Physical Review | 25 Jan 1969 | 2,191 |
| 9 | Lectures on Cauchy's Problem in Linear Partial Differential Equations Jacques Hadamard, Philip Μ. Morse · Physics Today | Aug 1953 | 2,109 |
| 10 | Group Theory and its Applications to Physical Problems Morton Hamermesh, Albert A. Mullin · American Journal of Physics | Oct 1962 | 1,742 |
| 11 | Approximate formulas for some functions of prime numbers J. Barkley Rosser, Lowell Schoenfeld · Illinois Journal of Mathematics | Mar 1962 | 1,606 |
| 12 | Invariance theory, the heat equation, and the Atiyah-Singer index theorem Peter Gilkey | 1995 | 1,559 |
| 13 | Rapid solution of integral equations of classical potential theory Vladimir Abramovich Rokhlin · Journal of Computational Physics | Sep 1985 | 1,422 |
| 14 | Curvatures of left invariant metrics on lie groups John Milnor · Advances in Mathematics | Sep 1976 | 1,323 |
| 15 | Theory of Functions of a Complex Variable A. I. Markushevich, Richard A. Silverman, James T. Gillis · Physics Today | Jun 1966 | 1,243 |
| 16 | An Operator Calculus Having Applications in Quantum Electrodynamics Richard P. Feynman · Physical Review | Oct 1951 | 1,197 |
| 17 | On the Contraction of Groups and Their Representations Erdal İnönü, Eugene Paul Wigner · Proceedings of the National Academy of Sciences | Jun 1953 | 1,160 |
| 18 | Quaternions and matrices of quaternions Fuzhen Zhang · Linear Algebra and its Applications | 1997 | 1,124 |
| 19 | Hamilton-Jacobi and Schrodinger Separable Solutions of Einstein’s Equations Brandon Carter · Communications in Mathematical Physics | Dec 1968 | 1,122 |
| 20 | The Physical Principles of the Quantum Theory Arthur Holly Compton, Werner Heisenberg | 1984 | 1,119 |
| 21 | Doctoral Dissertation Michael Monastyrsky · Birkhäuser Boston eBooks | 1999 | 1,081 |
| 22 | Consistent supergravity S. Deser, Bruno Zumino · Physics Letters B | Jun 1976 | 1,068 |
| 23 | Differential equations on riemannian manifolds and their geometric applications Sheng Yao Cheng, Shing–Tung Yau · Communications on Pure and Applied Mathematics | May 1975 | 1,015 |
| 24 | Maximal Extension of Schwarzschild Metric Martin David Kruskal · Physical Review | Sep 1960 | 991 |
| 25 | Revision of the Douglas-Kroll transformation Georg Jansen, Bernd Artur Heß · Physical Review A | Jun 1989 | 940 |
| 26 | Covariant Conservation Laws in General Relativity Arthur B. Komar · Physical Review | Feb 1959 | 929 |
| 27 | Holonomic quantum computation Paolo Zanardi, Mario Rasetti · Physics Letters A | Dec 1999 | 918 |
| 28 | A soluble relativistic field theory Walter E Thirring · Annals of Physics | 1958 | 907 |
| 29 | General concept of quantization Felix Alexandrovich Berezin · Communications in Mathematical Physics | Jun 1975 | 893 |
| 30 | Spin- s Spherical Harmonics and ð Joshua N. Goldberg, Alan J.R. Macfarlane, Ezra Ted Newman et al. · Journal of Mathematical Physics | Nov 1967 | 891 |
| 31 | Binary Fraunhofer Holograms, Generated by Computer Adolf W. Lohmann, D. P. Paris · Applied Optics | Oct 1967 | 877 |
| 32 | The spectral function of an elliptic operator Lars Hörmander · Acta Mathematica | 1968 | 876 |
| 33 | Zero rest-mass fields including gravitation: asymptotic behaviour Roger Penrose · Proceedings of the Royal Society of London A Mathematical and Physical Sciences | 23 Feb 1965 | 863 |
| 34 | The octonions John C. Baez · Bulletin of the American Mathematical Society | 21 Dec 2001 | 861 |
| 35 | Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum Ali Mostafazadeh · Journal of Mathematical Physics | May 2002 | 849 |
| 36 | On an inverse boundary value problem Alberto P. Calderón · Computational and Applied Mathematics | 2006 | 823 |
| 37 | Hamiltonian reduction of unconstrained and constrained systems Людвиг Дмитриевич Фаддеев, R. Jackiw · Physical Review Letters | 25 Apr 1988 | 820 |
| 38 | Note on the Bondi-Metzner-Sachs Group Ezra Ted Newman, Roger Penrose · Journal of Mathematical Physics | May 1966 | 812 |
| 39 | FURTHER OBSERVATIONS ON A PHOSPHATE BUFFER FOR OSMIUM SOLUTIONS IN FIXATION Giuseppe Millonig · Elsevier eBooks | 1962 | 774 |
| 40 | The Bergman kernel and biholomorphic mappings of pseudoconvex domains Charles Fefferman · Inventiones mathematicae | Mar 1974 | 744 |
| 41 | Clifford modules Michael Francis Atiyah, R. Bott, Alexander Shapiro · Topology | Jul 1964 | 742 |
| 42 | Quasi-exactly-solvable problems andsl(2) algebra Alexander V. Turbiner · Communications in Mathematical Physics | Sep 1988 | 733 |
| 43 | Weighted norm inequalities for the conjugate function and Hilbert transform Richard A. Hunt, Benjamin Muckenhoupt, Richard L. Wheeden · Transactions of the American Mathematical Society | 1973 | 725 |
| 44 | Reversible and Irreversible Transformations in Black-Hole Physics Demetrios Christodoulou · Physical Review Letters | 30 Nov 1970 | 714 |
| 45 | Generalized Uncertainty Relations: Theory, Examples, and Lorentz Invariance Samuel L. Braunstein, Carlton M. Caves, G.J. Milburn · Annals of Physics | Apr 1996 | 711 |
| 46 | An excursion into large rotations John Argyris · Computer Methods in Applied Mechanics and Engineering | Sep 1982 | 702 |
| 47 | Finite-component field representations of the conformal group G. Mack, Abdus Salam · Annals of Physics | Jun 1969 | 665 |
| 48 | Covariant theory of asymptotic symmetries, conservation laws and central charges Glenn Barnich, Friedemann Brandt · Nuclear Physics B | Jun 2002 | 628 |
| 49 | Instability of the Kaluza-Klein vacuum Edward H. Witten · Nuclear Physics B | Feb 1982 | 628 |
| 50 | Twistor Algebra Roger Penrose · Journal of Mathematical Physics | Feb 1967 | 626 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.