Alessandro Perotti

701 total citations
34 papers, 252 citations indexed

About

Alessandro Perotti is a scholar working on Applied Mathematics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Alessandro Perotti has authored 34 papers receiving a total of 252 indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Applied Mathematics, 9 papers in Geometry and Topology and 5 papers in Algebra and Number Theory. Recurrent topics in Alessandro Perotti's work include Algebraic and Geometric Analysis (31 papers), Holomorphic and Operator Theory (23 papers) and Mathematical Analysis and Transform Methods (20 papers). Alessandro Perotti is often cited by papers focused on Algebraic and Geometric Analysis (31 papers), Holomorphic and Operator Theory (23 papers) and Mathematical Analysis and Transform Methods (20 papers). Alessandro Perotti collaborates with scholars based in Italy and Germany. Alessandro Perotti's co-authors include Riccardo Ghiloni, Caterina Stoppato and Valter Moretti and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Advances in Mathematics and Indiana University Mathematics Journal.

In The Last Decade

Alessandro Perotti

30 papers receiving 235 citations

Peers

Alessandro Perotti
С. А. Плакса Ukraine
Katsutoshi Yamanoi Japan
Éric Amar France
Roman Lávička Czechia
Ewa Ligocka Poland
Włodzimierz Zwonek Poland
Giuseppe Zampieri Italy
So-Chin Chen Taiwan
Daniel Barlet France
Frank Kutzschebauch Switzerland
С. А. Плакса Ukraine
Alessandro Perotti
Citations per year, relative to Alessandro Perotti Alessandro Perotti (= 1×) peers С. А. Плакса

Countries citing papers authored by Alessandro Perotti

Since Specialization
Citations

This map shows the geographic impact of Alessandro Perotti'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 Alessandro Perotti with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alessandro Perotti more than expected).

Fields of papers citing papers by Alessandro Perotti

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Alessandro Perotti. 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 Alessandro Perotti. The network helps show where Alessandro Perotti may publish in the future.

Co-authorship network of co-authors of Alessandro Perotti

This figure shows the co-authorship network connecting the top 25 collaborators of Alessandro Perotti. A scholar is included among the top collaborators of Alessandro Perotti 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 Alessandro Perotti. Alessandro Perotti 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.
Perotti, Alessandro. (2024). Wirtinger Operators for Functions of Several Quaternionic Variables. Complex Analysis and Operator Theory. 19(1).
2.
Perotti, Alessandro. (2023). A Quaternionic Bernstein Theorem. Mediterranean Journal of Mathematics. 20(3).
3.
Perotti, Alessandro. (2022). Cauchy-Riemann operators and local slice analysis over real alternative algebras. Journal of Mathematical Analysis and Applications. 516(1). 126480–126480. 2 indexed citations
4.
Ghiloni, Riccardo & Alessandro Perotti. (2022). Slice regular functions in several variables. Mathematische Zeitschrift. 302(1). 295–351. 9 indexed citations
5.
Perotti, Alessandro, et al.. (2022). Eigenvalue problems for slice functions. Annali di Matematica Pura ed Applicata (1923 -). 201(5). 2519–2548. 1 indexed citations
6.
Ghiloni, Riccardo, Valter Moretti, & Alessandro Perotti. (2017). Spectral representations of normal operators in quaternionic Hilbert spaces via intertwining quaternionic PVMs. Reviews in Mathematical Physics. 29(10). 1750034–1750034. 6 indexed citations
7.
Ghiloni, Riccardo, Alessandro Perotti, & Caterina Stoppato. (2016). Singularities of slice regular functions over real alternative ⁎-algebras. Advances in Mathematics. 305. 1085–1130. 12 indexed citations
8.
Ghiloni, Riccardo & Alessandro Perotti. (2012). Slice regular functions of several Clifford variables. AIP conference proceedings. 734–738. 18 indexed citations
9.
Ghiloni, Riccardo & Alessandro Perotti. (2010). Slice regular functions on real alternative algebras. Advances in Mathematics. 226(2). 1662–1691. 103 indexed citations
10.
Perotti, Alessandro. (2009). Regular quaternionic functions and conformal mappings. Institutional Research Information System (Università degli Studi di Trento). 11(1). 123–143–123–143. 2 indexed citations
11.
Perotti, Alessandro. (2009). Every Biregular Function Is a Biholomorphic Map. Advances in Applied Clifford Algebras. 19(2). 441–451. 2 indexed citations
12.
Perotti, Alessandro. (2007). Dirichlet problem for pluriholomorphic functions of two complex variables. Journal of Mathematical Analysis and Applications. 337(1). 107–115.
13.
Perotti, Alessandro. (2004). RegularHarmonics a Mathematica 4.2 package for computing with regular quaternionic functions.
14.
Perotti, Alessandro. (2003). A differential criterium for regularity of quaternionic functions. Comptes Rendus Mathématique. 337(2). 89–92. 3 indexed citations
15.
Perotti, Alessandro. (2003). Quaternionic Regular Functions and the @-Neumann Problem in C2. Unitn Eprints Research (Università Degli Studi di Trento). 3 indexed citations
16.
Perotti, Alessandro. (1999). Dirichlet problem for pluriharmonic functions of several complex variables. Communications in Partial Differential Equations. 24(3-4). 707–717. 5 indexed citations
17.
Perotti, Alessandro. (1998). Multidimensional residues and ideal membership. Publicacions Matemàtiques. 42. 143–152. 1 indexed citations
18.
Perotti, Alessandro, et al.. (1994). $C^k$-regularity for the $\bar{\partial }$-equation on a piecewise smooth union of strictly pseudoconvex domains in $\mathbb {C}^n$. French digital mathematics library (Numdam). 21(4). 483–495. 2 indexed citations
19.
Perotti, Alessandro, et al.. (1990). Ck-Regularity for the ?-equation on Strictly Pseudoconvex Domains with Piecewise Smooth Boundaries.. Mathematische Zeitschrift. 203(3). 415–428. 13 indexed citations
20.
Perotti, Alessandro. (1987). Extension of $CR$-forms and related problems. Rendiconti del Seminario Matematico della Università di Padova. 77. 37–55. 4 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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