Edit Profile Perotti, Alessandro Compute Distance To: Compute Author ID: perotti.alessandro Published as: Perotti, A.; Perotti, Alessandro Documents Indexed: 41 Publications since 1986 Co-Authors 15 single-authored 17 Ghiloni, Riccardo 4 Moretti, Valter 3 Stoppato, Caterina 2 Michel, Joachim 1 Recupero, Vincenzo all top 5 Serials 3 Advances in Applied Clifford Algebras 2 Reviews in Mathematical Physics 2 Advances in Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Publicacions Matemàtiques 1 Mathematical Methods in the Applied Sciences 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Indiana University Mathematics Journal 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Rendiconti del Seminario Matematico della Università di Padova 1 Transactions of the American Mathematical Society 1 Complex Variables. Theory and Application 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Algebra and its Applications 1 Cubo 1 Complex Variables and Elliptic Equations 1 Complex Analysis and Operator Theory 1 Rivista di Matematica della Università di Parma. New Series all top 5 Fields 28 Functions of a complex variable (30-XX) 17 Several complex variables and analytic spaces (32-XX) 4 Potential theory (31-XX) 3 Nonassociative rings and algebras (17-XX) 3 Operator theory (47-XX) 2 Partial differential equations (35-XX) 2 Quantum theory (81-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 27 Publications have been cited 254 times in 148 Documents Cited by ▼ Year ▼ Slice regular functions on real alternative algebras. Zbl 1217.30044Ghiloni, R.; Perotti, A. 68 2011 Continuous slice functional calculus in quaternionic Hilbert spaces. Zbl 1291.47008Ghiloni, Riccardo; Moretti, Valter; Perotti, Alessandro 60 2013 Zeros of regular functions of quaternionic and octonionic variable: a division lemma and the camshaft effect. Zbl 1246.30013Ghiloni, R.; Perotti, A. 16 2011 \(C^ k\)-regularity for the \({\bar \partial}\)-equation on strictly pseudoconvex domains with piecewise smooth boundaries. Zbl 0673.32019Michel, Joachim; Perotti, Alessandro 14 1990 Spectral properties of compact normal quaternionic operators. Zbl 1314.30100Ghiloni, Riccardo; Moretti, Valter; Perotti, Alessandro 13 2014 The algebra of slice functions. Zbl 1404.30055Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina 12 2017 Power and spherical series over real alternative \(^\ast\)-algebras. Zbl 1308.30057Ghiloni, Riccardo; Perotti, Alessandro 12 2014 Singularities of slice regular functions over real alternative \(^{\ast}\)-algebras. Zbl 1408.30045Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina 10 2017 Global differential equations for slice regular functions. Zbl 1294.30095Ghiloni, Riccardo; Perotti, Alessandro 8 2014 A new approach to slice regularity on real algebras. Zbl 1217.30045Ghiloni, Riccardo; Perotti, Alessandro 8 2011 Spectral representations of normal operators in quaternionic Hilbert spaces via intertwining quaternionic PVMs. Zbl 06813204Ghiloni, Riccardo; Moretti, Valter; Perotti, Alessandro 6 2017 Slice regularity in several variables. Zbl 1298.30044Ghiloni, R.; Perotti, A. 4 2012 Fueter regularity and slice regularity: meeting points for two function theories. Zbl 1275.30025Perotti, Alessandro 3 2013 Extension of CR-forms and related problems. Zbl 0625.32013Perotti, Alessandro 3 1987 Noncommutative Cauchy integral formula. Zbl 1364.30057Ghiloni, Riccardo; Perotti, Alessandro; Recupero, Vincenzo 2 2017 Lagrange polynomials over Clifford numbers. Zbl 1370.65009Ghiloni, Riccardo; Perotti, Alessandro 2 2015 Volume Cauchy formulas for slice functions on real associative \(^\ast\)-algebras. Zbl 1277.30038Ghiloni, Riccardo; Perotti, Alessandro 2 2013 Regular quaternionic functions and conformal mappings. Zbl 1171.30025Perotti, Alessandro 2 2009 Division algebras of slice functions. Zbl 07220516Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina 1 2020 The quaternionic Gauss-Lucas theorem. Zbl 1414.30051Ghiloni, R.; Perotti, A. 1 2018 Every biregular function is a biholomorphic map. Zbl 1173.30035Perotti, Alessandro 1 2009 Directional quaternionic Hilbert operators. Zbl 1182.30091Perotti, Alessandro 1 2009 Quaternionic regularity and the \(\bar{\partial}\)-Neumann problem in \(\mathbb C^2\). Zbl 1118.32003Perotti, A. 1 2007 Tangential form of the trace condition for pluriharmonic functions in \(\mathbb{C}^n\). Zbl 1036.32024Perotti, Alessandro 1 2003 Dirichlet problem for pluriharmonic functions of several complex variables. Zbl 0942.35122Perotti, A. 1 1999 \(\mathbf C^ k\)-regularity for the \(\bar \partial\)-equation on a piecewise smooth union of strictly pseudoconvex domains in \(\mathbb{C}^ n\). Zbl 0828.32004Michel, Joachim; Perotti, Alessandro 1 1994 The equation \({\bar \partial}u=f\) on the intersection of pseudoconvex domains. Zbl 0666.32017Perotti, Alessandro 1 1986 Division algebras of slice functions. Zbl 07220516Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina 1 2020 The quaternionic Gauss-Lucas theorem. Zbl 1414.30051Ghiloni, R.; Perotti, A. 1 2018 The algebra of slice functions. Zbl 1404.30055Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina 12 2017 Singularities of slice regular functions over real alternative \(^{\ast}\)-algebras. Zbl 1408.30045Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina 10 2017 Spectral representations of normal operators in quaternionic Hilbert spaces via intertwining quaternionic PVMs. Zbl 06813204Ghiloni, Riccardo; Moretti, Valter; Perotti, Alessandro 6 2017 Noncommutative Cauchy integral formula. Zbl 1364.30057Ghiloni, Riccardo; Perotti, Alessandro; Recupero, Vincenzo 2 2017 Lagrange polynomials over Clifford numbers. Zbl 1370.65009Ghiloni, Riccardo; Perotti, Alessandro 2 2015 Spectral properties of compact normal quaternionic operators. Zbl 1314.30100Ghiloni, Riccardo; Moretti, Valter; Perotti, Alessandro 13 2014 Power and spherical series over real alternative \(^\ast\)-algebras. Zbl 1308.30057Ghiloni, Riccardo; Perotti, Alessandro 12 2014 Global differential equations for slice regular functions. Zbl 1294.30095Ghiloni, Riccardo; Perotti, Alessandro 8 2014 Continuous slice functional calculus in quaternionic Hilbert spaces. Zbl 1291.47008Ghiloni, Riccardo; Moretti, Valter; Perotti, Alessandro 60 2013 Fueter regularity and slice regularity: meeting points for two function theories. Zbl 1275.30025Perotti, Alessandro 3 2013 Volume Cauchy formulas for slice functions on real associative \(^\ast\)-algebras. Zbl 1277.30038Ghiloni, Riccardo; Perotti, Alessandro 2 2013 Slice regularity in several variables. Zbl 1298.30044Ghiloni, R.; Perotti, A. 4 2012 Slice regular functions on real alternative algebras. Zbl 1217.30044Ghiloni, R.; Perotti, A. 68 2011 Zeros of regular functions of quaternionic and octonionic variable: a division lemma and the camshaft effect. Zbl 1246.30013Ghiloni, R.; Perotti, A. 16 2011 A new approach to slice regularity on real algebras. Zbl 1217.30045Ghiloni, Riccardo; Perotti, Alessandro 8 2011 Regular quaternionic functions and conformal mappings. Zbl 1171.30025Perotti, Alessandro 2 2009 Every biregular function is a biholomorphic map. Zbl 1173.30035Perotti, Alessandro 1 2009 Directional quaternionic Hilbert operators. Zbl 1182.30091Perotti, Alessandro 1 2009 Quaternionic regularity and the \(\bar{\partial}\)-Neumann problem in \(\mathbb C^2\). Zbl 1118.32003Perotti, A. 1 2007 Tangential form of the trace condition for pluriharmonic functions in \(\mathbb{C}^n\). Zbl 1036.32024Perotti, Alessandro 1 2003 Dirichlet problem for pluriharmonic functions of several complex variables. Zbl 0942.35122Perotti, A. 1 1999 \(\mathbf C^ k\)-regularity for the \(\bar \partial\)-equation on a piecewise smooth union of strictly pseudoconvex domains in \(\mathbb{C}^ n\). Zbl 0828.32004Michel, Joachim; Perotti, Alessandro 1 1994 \(C^ k\)-regularity for the \({\bar \partial}\)-equation on strictly pseudoconvex domains with piecewise smooth boundaries. Zbl 0673.32019Michel, Joachim; Perotti, Alessandro 14 1990 Extension of CR-forms and related problems. Zbl 0625.32013Perotti, Alessandro 3 1987 The equation \({\bar \partial}u=f\) on the intersection of pseudoconvex domains. Zbl 0666.32017Perotti, Alessandro 1 1986 all cited Publications top 5 cited Publications all top 5 Cited by 110 Authors 30 Colombo, Fabrizio 27 Sabadini, Irene 16 Perotti, Alessandro 14 Ghiloni, Riccardo 13 Thirulogasanthar, Kengatharam 10 Alpay, Daniel Aron 10 Muraleetharan, B. 8 Altavilla, Amedeo 8 Ren, Guangbin 7 Gantner, Jonathan 6 González-Cervantes, José Óscar 6 Stoppato, Caterina 5 Gal, Sorin Gheorghe 5 Moretti, Valter 4 Bisi, Cinzia 4 Bolotnikov, Vladimir 4 Kimsey, David Patrick 4 Ramesh, Golla 4 Santhosh Kumar, P. 4 Sarfatti, Giulia 4 Wang, Xieping 4 Xu, Zhenghua 3 Cnudde, Lander 3 De Bie, Hendrik 3 de Fabritiis, Chiara 3 Fashandi, Massoumeh 3 Forstnerič, Franc 3 Michel, Joachim 3 Oppio, Marco 3 Qian, Tao 3 Recupero, Vincenzo 3 Sommen, Franciscus 3 Struppa, Daniele Carlo 2 Abu-Ghanem, Khaled 2 Ali, Syed Twareque 2 Drnovšek, Barbara Drinovec 2 Gentili, Graziano 2 Kähler, Uwe 2 Khidr, Shaban 2 Ludkovsky, Sergey Victor 2 Mongodi, Samuele 1 Ahn, Heungju 1 Ammar, Aymen 1 Angella, Daniele 1 Arcozzi, Nicola 1 Askari-Hemmat, Ataollah 1 Barkatou, Moulay-Youssef 1 Benahmadi, Abdelhadi 1 Bryukhov, Dmitry 1 Cassinelli, Gianni 1 Castillo Villalba, C. Marco Polo 1 Cerejeiras, Paula 1 Chaumat, Jacques 1 Chen, Qiuhui 1 Cheng, Dong 1 Cho, Hong Rae 1 Chollet, Anne-Marie 1 Dong, Baohua 1 El Hamyani, Amal 1 Ellouz, Hanen 1 Fakhfakh, Slim 1 Ghanmi, Allal 1 Gong, Xianghong 1 Gonzàles Cervantes, Jose O. 1 González, Denis Deniz 1 Gori, Anna 1 Han, Kaikai 1 Janssens, Tim 1 Jeribi, Aref 1 Jin, Ming 1 Khokulan, M. 1 Kou, Kit-Ian 1 Kou, Kitian 1 Kraußhar, Rolf Sören 1 Krzyżak, Adam 1 Lahti, Pekka Johannes 1 Lewkowicz, Izchak 1 Li, Xingmin 1 Liao, Jianquan 1 Luna-Elizarrarás, María Elena 1 Lupacciolu, Guido 1 Ma, Lan 1 Mahdipour, S. 1 Misyurin, Sergeĭ Yur’evich 1 Monguzzi, Alessandro 1 Nacinovich, Mauro 1 Niknam, Assadollah 1 Pamula, Santhosh Kumar 1 Park, Jong-Do 1 Perotti, Alan 1 Peters, Klaus-Heinrich 1 Pinton, Stefano 1 Polyanskiĭ, Ivan Sergeevich 1 Radygin, Vladimir Michaĭlovich 1 Sahu, Soniya 1 Saracco, Alberto 1 Seco, Daniel 1 Shapiro, Michael V. 1 Sharma, Sumit Kumar 1 Shaw, Mei-Chi ...and 10 more Authors all top 5 Cited in 48 Serials 15 Advances in Applied Clifford Algebras 9 Journal of Geometry and Physics 9 Transactions of the American Mathematical Society 9 Complex Variables and Elliptic Equations 9 Complex Analysis and Operator Theory 7 Journal of Mathematical Physics 7 The Journal of Geometric Analysis 5 Mathematical Methods in the Applied Sciences 5 Reviews in Mathematical Physics 5 Mathematische Nachrichten 5 Mathematische Zeitschrift 4 Advances in Mathematics 3 Journal of Mathematical Analysis and Applications 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Integral Equations and Operator Theory 3 Mathematische Annalen 3 Journal of Algebra and its Applications 2 Proceedings of the American Mathematical Society 2 Indagationes Mathematicae. New Series 2 Advances in Geometry 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Concrete Operators 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Duke Mathematical Journal 1 Journal of Functional Analysis 1 Pacific Journal of Mathematics 1 Forum Mathematicum 1 Science in China. Series A 1 International Journal of Mathematics 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 The Journal of Analysis 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Mathematical Physics, Analysis and Geometry 1 Annales Henri Poincaré 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Milan Journal of Mathematics 1 Analysis and Applications (Singapore) 1 Journal of Physics A: Mathematical and Theoretical 1 Banach Journal of Mathematical Analysis 1 Palestine Journal of Mathematics 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Quantum Studies: Mathematics and Foundations 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Proceedings of the American Mathematical Society. Series B all top 5 Cited in 29 Fields 90 Functions of a complex variable (30-XX) 43 Operator theory (47-XX) 26 Several complex variables and analytic spaces (32-XX) 17 Functional analysis (46-XX) 15 Quantum theory (81-XX) 8 Partial differential equations (35-XX) 7 Number theory (11-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Nonassociative rings and algebras (17-XX) 4 Potential theory (31-XX) 4 Approximations and expansions (41-XX) 4 Differential geometry (53-XX) 3 Algebraic geometry (14-XX) 3 Special functions (33-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Numerical analysis (65-XX) 2 Field theory and polynomials (12-XX) 2 Topological groups, Lie groups (22-XX) 2 Ordinary differential equations (34-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Integral transforms, operational calculus (44-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year