Michael Shapiro

2.4k total citations
83 papers, 1.1k citations indexed

About

Michael Shapiro is a scholar working on Applied Mathematics, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Michael Shapiro has authored 83 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 72 papers in Applied Mathematics, 14 papers in Mathematical Physics and 11 papers in Algebra and Number Theory. Recurrent topics in Michael Shapiro's work include Algebraic and Geometric Analysis (67 papers), Holomorphic and Operator Theory (44 papers) and Mathematical Analysis and Transform Methods (42 papers). Michael Shapiro is often cited by papers focused on Algebraic and Geometric Analysis (67 papers), Holomorphic and Operator Theory (44 papers) and Mathematical Analysis and Transform Methods (42 papers). Michael Shapiro collaborates with scholars based in Mexico, Israel and United States. Michael Shapiro's co-authors include M. Elena Luna‐Elizarrarás, Nikolai Vasilevski, Daniel Alpay, Daniele C. Struppa, Adrian Vajiac, Juan Bory Reyes, Vladislav V. Kravchenko, Alexander S. Balankin, Frank Sommen and Klaus Gürlebeck and has published in prestigious journals such as Physica A Statistical Mechanics and its Applications, Applied Mathematics and Computation and Journal of Functional Analysis.

In The Last Decade

Michael Shapiro

79 papers receiving 1.0k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Michael Shapiro Mexico 19 935 197 175 145 141 83 1.1k
Wolfgang Sprößig Germany 12 863 0.9× 147 0.7× 142 0.8× 92 0.6× 106 0.8× 34 954
Vladimı́r Souček Czechia 17 1.2k 1.3× 307 1.6× 371 2.1× 138 1.0× 302 2.1× 79 1.5k
F. Sommen Belgium 20 1.8k 1.9× 287 1.5× 296 1.7× 129 0.9× 399 2.8× 128 1.9k
M. Elena Luna‐Elizarrarás Mexico 11 336 0.4× 104 0.5× 110 0.6× 95 0.7× 48 0.3× 41 458
Werner Balser Germany 13 368 0.4× 313 1.6× 166 0.9× 249 1.7× 97 0.7× 58 881
Paolo Emilio Ricci Italy 18 801 0.9× 108 0.5× 74 0.4× 409 2.8× 502 3.6× 174 1.3k
L. Boutet de Monvel France 17 938 1.0× 506 2.6× 919 5.3× 134 0.9× 172 1.2× 44 1.5k
Leon Ehrenpreis United States 17 667 0.7× 239 1.2× 486 2.8× 77 0.5× 130 0.9× 42 1.1k
Anatol Odzijewicz Poland 14 194 0.2× 235 1.2× 270 1.5× 229 1.6× 208 1.5× 96 640
Mohammad Masjed‐Jamei Iran 16 654 0.7× 49 0.2× 69 0.4× 185 1.3× 169 1.2× 111 912

Countries citing papers authored by Michael Shapiro

Since Specialization
Citations

This map shows the geographic impact of Michael Shapiro's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Michael Shapiro with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael Shapiro more than expected).

Fields of papers citing papers by Michael Shapiro

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael Shapiro. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Michael Shapiro. The network helps show where Michael Shapiro may publish in the future.

Co-authorship network of co-authors of Michael Shapiro

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Shapiro. A scholar is included among the top collaborators of Michael Shapiro based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Michael Shapiro. Michael Shapiro is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Luna‐Elizarrarás, M. Elena, et al.. (2015). On the Bicomplex Gleason–Kahane–Żelazko Theorem. Complex Analysis and Operator Theory. 10(2). 327–352. 9 indexed citations
2.
Luna‐Elizarrarás, M. Elena, et al.. (2015). On a version of quaternionic function theory related to Chebyshev polynomials and modified Sturm-Liouville operators. Quarterly of Applied Mathematics. 74(1). 165–187. 5 indexed citations
3.
Luna‐Elizarrarás, M. Elena, Michael Shapiro, Daniele C. Struppa, & Adrian Vajiac. (2015). Bicomplex Holomorphic Functions: The Algebra, Geometry and Analysis of Bicomplex Numbers. CERN Document Server (European Organization for Nuclear Research). 38 indexed citations
4.
Blaya, Ricardo Abreu, Juan Bory Reyes, M. Elena Luna‐Elizarrarás, & Michael Shapiro. (2011). ∂ -problem in domains of ℂ 2 in terms of hyper-conjugate harmonic functions. Complex Variables and Elliptic Equations. 57(7-8). 743–749. 4 indexed citations
5.
Luna‐Elizarrarás, M. Elena, et al.. (2007). On Relations between the Derivative and the Two-Dimensional Directional Derivatives of a Quaternionic Function. AIP conference proceedings. 936. 758–760.
6.
Alpay, Daniel, M. Elena Luna‐Elizarrarás, & Michael Shapiro. (2007). On the norms of quaternionic extensions of real and complex linear mappings. Mathematical Methods in the Applied Sciences. 30(9). 1005–1036. 2 indexed citations
7.
Alpay, Daniel, et al.. (2006). Fonctions rationnelles et problème de Gleason associés à l'opérateur de Dirac. Comptes Rendus Mathématique. 343(5). 291–295. 1 indexed citations
8.
Alpay, Daniel, et al.. (2005). Normes des extensions quaternionique d'opérateurs réels. Comptes Rendus Mathématique. 340(9). 639–643. 2 indexed citations
9.
Shapiro, Michael, et al.. (2004). On a Cauchy-type integral related to the Helmholtz operator in the plane. 10(1). 63–82. 15 indexed citations
10.
Alpay, Daniel, et al.. (2004). Espaces de Branges Rovnyak et fonctions de Schur : le cas hyper-analytique. Comptes Rendus Mathématique. 338(6). 437–442. 11 indexed citations
11.
Alpay, Daniel, et al.. (2004). Rational hyperholomorphic functions in R4. Journal of Functional Analysis. 221(1). 122–149. 25 indexed citations
12.
Alpay, Daniel, et al.. (2003). Fonctions rationnelles et théorie de la réalisation: le cas hyper-analytique. Comptes Rendus Mathématique. 336(12). 975–980. 9 indexed citations
13.
Shapiro, Michael, et al.. (2002). Integral Theorems for Functions and Differential Forms in C(M): vol. 428.. Ghent University Academic Bibliography (Ghent University). 2 indexed citations
14.
Alpay, Daniel & Michael Shapiro. (2002). Problème de Gleason et interpolation pour les fonctions hyper-analytiques. Comptes Rendus Mathématique. 335(11). 889–894. 11 indexed citations
15.
Arellano, Enrique Ramírez de, et al.. (2000). Complex Analysis and Related Topics. Birkhäuser Basel eBooks. 8 indexed citations
16.
Shapiro, Michael & Nikolai Vasilevski. (1997). On the Bergmann Kernel Function in Hyperholomorphic Analysis. Acta Applicandae Mathematicae. 46(1). 1–27. 26 indexed citations
17.
Shapiro, Michael & Nikolai Vasilevski. (1995). Quaternionic ψ-hyperholomorphic functions, singular integral operators and boundary value problems I. ψ-hyperholomorphic function theory. Complex Variables Theory and Application An International Journal. 27(1). 17–46. 67 indexed citations
18.
Ashktorab, K., et al.. (1994). A MacintoshTM-based multiparameter pulse height analyzer and multichannel scaler system for advanced teaching laboratories. Computers in Physics. 8(5). 608–615. 1 indexed citations
19.
Shapiro, Michael, et al.. (1993). Formulae of changing of integration order and of inversion for some multidimensional singular integrals and hypercomplex analysis. 1–17. 13 indexed citations
20.
Shapiro, Michael. (1993). Some remarks on generalizations of the one - dimensional complex analysis : hypercomplex approach. 1–26. 9 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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