Most cited papers in Mathematical and Theoretical Analysis
What are the most cited papers in Mathematical and Theoretical Analysis?
The most cited paper in Mathematical and Theoretical Analysis is "Phenomenological Lagrangians" (Steven Weinberg, 1979), with 3,370 citations. Next come "Doctoral Dissertation" (2,609) and "A Course in Functional Analysis." (2,360).
Showing 50 of 98 papers. Every paper with more than 272 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Phenomenological Lagrangians Steven Weinberg · Physica A Statistical Mechanics and its Applications | Apr 1979 | 3,370 |
| 2 | Doctoral Dissertation Michael Monastyrsky · Birkhäuser Boston eBooks | 1987 | 2,609 |
| 3 | A Course in Functional Analysis. Theodore W. Gamelin, John B. Conway · American Mathematical Monthly | Nov 1986 | 2,360 |
| 4 | The Classical Theory of Fields L.D. LANDAU, E.M. LIFSHITZ, C. H. Holbrow · Physics Today | Jun 1963 | 2,184 |
| 5 | Analysis on Measure Chains — A Unified Approach to Continuous and Discrete Calculus Stefan Hilger · Results in Mathematics | Aug 1990 | 2,009 |
| 6 | On a Hilbert space of analytic functions and an associated integral transform part I V. Bargmann · Communications on Pure and Applied Mathematics | Aug 1961 | 1,916 |
| 7 | An Introduction to Harmonic Analysis. Guido Weiss, Yitzhak Katznelson · American Mathematical Monthly | Apr 1970 | 1,713 |
| 8 | Recent history of fractional calculus J. A. Tenreiro Machado, Virginia S. Kiryakova, Francesco Mainardi · Communications in Nonlinear Science and Numerical Simulation | Jun 2010 | 1,638 |
| 9 | On the Stability of the linear Transformation in Banach Spaces. Tosio Aoki · Journal of the Mathematical Society of Japan | Sep 1950 | 1,560 |
| 10 | A Treatise on Generating Functions. Adrienne W. Kemp, H. M. Srivastava, H. L. Manocha · Journal of the Royal Statistical Society Series D (The Statistician) | 1986 | 1,207 |
| 11 | NON-STANDARD ANALYSIS Abraham Robinson · Indagationes Mathematicae (Proceedings) | 1961 | 1,167 |
| 12 | Fractional diffusion and wave equations William R. Schneider, Walter Wyss · Journal of Mathematical Physics | 1989 | 1,130 |
| 13 | Quantum Physics: A Functional Integral Point of View J. Gllmm, Arthur M. Jaffe, Frank A. Wilczek · Physics Today | Oct 1982 | 1,077 |
| 14 | Normed Linear Spaces Mahlon Marsh Day | 1962 | 1,037 |
| 15 | Measures on the Closed Subspaces of a Hilbert Space Andrew M. Gleason | 1975 | 1,020 |
| 16 | Axioms for Euclidean Green's functions II Konrad Osterwalder, Robert Schrader · Communications in Mathematical Physics | Oct 1975 | 989 |
| 17 | Integral representations of functions and imbedding theory Sergei Mikhailovich Nikol'skii · Mathematical Notes | Sep 1978 | 913 |
| 18 | The Equivalence of Two Extremum Problems J. Kiefer, Jacob Wolfowitz · Canadian Journal of Mathematics | 1960 | 893 |
| 19 | Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation Igor Podlubný · arXiv (Cornell University) | 22 Oct 2001 | 891 |
| 20 | Notes on the homotopy analysis method: Some definitions and theorems Shijun Liao · Communications in Nonlinear Science and Numerical Simulation | May 2008 | 874 |
| 21 | Fractal-fractional differentiation and integration: Connecting fractal calculus and fractional calculus to predict complex system Abdon Atangana · Chaos Solitons & Fractals | 24 Apr 2017 | 833 |
| 22 | FURTHER OBSERVATIONS ON A PHOSPHATE BUFFER FOR OSMIUM SOLUTIONS IN FIXATION Giuseppe Millonig · Elsevier eBooks | 1962 | 774 |
| 23 | Dimensional renormalization and the action principle P. Breitenlohner, Dieter Maison · Communications in Mathematical Physics | Feb 1977 | 770 |
| 24 | Statistical Theory of Superlattices H. A. Bethe · World Scientific series in 20th century physics | Jul 1997 | 744 |
| 25 | On empirically equivalent systems of the world W. V. Quine · Erkenntnis | Nov 1975 | 731 |
| 26 | Dynamical reduction models Angelo Bassi, GianCarlo Ghirardi · Physics Reports | 19 May 2003 | 726 |
| 27 | Duality, Ambiguity, and Flexibility: A “Proceptual” View of Simple Arithmetic Eddie M. Gray, David O. Tall · Journal for Research in Mathematics Education | Mar 1994 | 686 |
| 28 | On the Existence of Invariant Measures for Piecewise Monotonic Transformations Andrzej Lasota, James A. Yorke | 1974 | 652 |
| 29 | On the stability of the quadratic mapping in normed spaces St. Czerwik · Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg | Dec 1992 | 631 |
| 30 | Controlling rough paths Massimiliano Gubinelli · Journal of Functional Analysis | 18 Apr 2004 | 616 |
| 31 | An iterative method for solving nonlinear functional equations Varsha Daftardar‐Gejji, Hossein Jafari · Journal of Mathematical Analysis and Applications | 10 Jun 2005 | 606 |
| 32 | On Namias's Fractional Fourier Transforms Adam C. McBride, Fiona H. Kerr · IMA Journal of Applied Mathematics | 1987 | 598 |
| 33 | On the Well-Posedness of the Kirchhoff String Alberto Arosio, Stefano Panizzi · Transactions of the American Mathematical Society | 1996 | 549 |
| 34 | Approximate homomorphisms D. H. Hyers, Themistocles M. Rassias · Aequationes Mathematicae | Oct 1992 | 543 |
| 35 | Proprieta’ locali e approssimazione di operatori Fulvia Skof · Rendiconti del Seminario Matematico e Fisico di Milano | Dec 1983 | 533 |
| 36 | On the Stability of Functional Equations in Banach Spaces Themistocles M. Rassias · Journal of Mathematical Analysis and Applications | Nov 2000 | 526 |
| 37 | PROMOTION OF INSULIN SECRETION BY GLUCAGON Ellis Samols, Germano Marri, Vincent Marks · The Lancet | Aug 1965 | 523 |
| 38 | Fractal calculus and its geometrical explanation Ji‐Huan He · Results in Physics | 15 Jun 2018 | 521 |
| 39 | Loop equations and 1N expansion Alexander Migdal · Physics Reports | Dec 1983 | 512 |
| 40 | Special Functions: An Introduction to the Classical Functions of Mathematical Physics Nico Μ. Τemme, Daniel I. Zwillinger · American Journal of Physics | May 1997 | 508 |
| 41 | The didactical use of models in realistic mathematics education: An example from a longitudinal trajectory on percentage Marja van den Heuvel‐Panhuizen · Educational Studies in Mathematics | Nov 2003 | 504 |
| 42 | An Atlas of Functions Jerome Spanier, Keith B. Oldham · CERN Document Server (European Organization for Nuclear Research) | 3 May 1996 | 467 |
| 43 | Multiplicative calculus and its applications Agamirza E. Bashirov, Emine Mısırlı Kurpınar, Ali Özyapıcı · Journal of Mathematical Analysis and Applications | 6 Apr 2007 | 463 |
| 44 | Table of some basic fractional calculus formulae derived from a modified Riemann–Liouville derivative for non-differentiable functions Guy Jumarie · Applied Mathematics Letters | 11 Jun 2008 | 461 |
| 45 | Decomposition methods: A new proof of convergence Yves Cherruault, G. Adomian · Mathematical and Computer Modelling | Dec 1993 | 459 |
| 46 | Set-Valued Analysis Frankowska, Hélène, Jean‐Pierre Aubin · Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)) | 2009 | 456 |
| 47 | A partition calculus in set theory Péter L. Erdős, R. Rado · Bulletin of the American Mathematical Society | 1956 | 439 |
| 48 | Rational Inattention: Beyond the Linear-Quadratic Case Christopher A. Sims · American Economic Review | Apr 2006 | 430 |
| 49 | QUANTUM MECHANICS AS QUANTUM MEASURE THEORY Rafael D. Sorkin · Modern Physics Letters A | 30 Oct 1994 | 424 |
| 50 | Asymptotic Expansions of Integrals Isom H. Herron, M. R. Foster · Cambridge University Press eBooks | 28 Jul 2008 | 422 |
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.