Edit Profile (opens in new tab) Stoppato, Caterina Co-Author Distance Author ID: stoppato.caterina Published as: Stoppato, Caterina Homepage: http://web.math.unifi.it/users/stoppato/ External Links: MGP · ORCID · dblp Documents Indexed: 33 Publications since 2008, including 2 Books and 1 Additional arXiv Preprint Reviewing Activity: 4 Reviews Co-Authors: 14 Co-Authors with 28 Joint Publications 466 Co-Co-Authors all top 5 Co-Authors 5 single-authored 15 Gentili, Graziano 7 Ghiloni, Riccardo 5 Perotti, Alessandro 4 Struppa, Daniele Carlo 3 Bisi, Cinzia 3 Farouki, Rida T. 3 Krantz, Steven George 3 Peloso, Marco Maria 2 Giannelli, Carlotta 2 Sestini, Alessandra 1 Monguzzi, Alessandro 1 Salamon, Simon Montague 1 Trinci, Tomaso 1 Vlacci, Fabio all top 5 Serials 3 Transactions of the American Mathematical Society 2 Advances in Mathematics 2 Advances in Computational Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Springer Monographs in Mathematics 1 Journal of Mathematical Analysis and Applications 1 Indiana University Mathematics Journal 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Annals of Global Analysis and Geometry 1 Journal of Symbolic Computation 1 International Journal of Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Mathematical Research Letters 1 Journal of the European Mathematical Society (JEMS) 1 Mediterranean Journal of Mathematics 1 Complex Variables and Elliptic Equations 1 Journal of Noncommutative Geometry all top 5 Fields 28 Functions of a complex variable (30-XX) 9 Several complex variables and analytic spaces (32-XX) 4 Nonassociative rings and algebras (17-XX) 4 Differential geometry (53-XX) 3 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Sequences, series, summability (40-XX) 2 Numerical analysis (65-XX) 1 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 569 times in 279 Documents Cited by ▼ Year ▼ Regular functions of a quaternionic variable. Zbl 1269.30001 Gentili, Graziano; Stoppato, Caterina; Struppa, Daniele C. 164 2013 Zeros of regular functions and polynomials of a quaternionic variable. Zbl 1184.30048 Gentili, Graziano; Stoppato, Caterina 67 2008 Twistor transforms of quaternionic functions and orthogonal complex structures. Zbl 1310.53045 Gentili, Graziano; Salamon, Simon; Stoppato, Caterina 33 2014 The algebra of slice functions. Zbl 1404.30055 Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina 32 2017 Singularities of slice regular functions over real alternative \(^{\ast}\)-algebras. Zbl 1408.30045 Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina 26 2017 Power series and analyticity over the quaternions. Zbl 1262.30053 Gentili, Graziano; Stoppato, Caterina 25 2012 A new series expansion for slice regular functions. Zbl 1262.30059 Stoppato, Caterina 22 2012 Regular Moebius transformations of the space of quaternions. Zbl 1214.30044 Stoppato, Caterina 21 2011 The open mapping theorem for regular quaternionic functions. Zbl 1201.30067 Gentili, Graziano; Stoppato, Caterina 21 2009 Poles of regular quaternionic functions. Zbl 1177.30071 Stoppato, Caterina 20 2009 The Schwarz-Pick lemma for slice regular functions. Zbl 1271.30024 Bisi, Cinzia; Stoppato, Caterina 18 2012 Division algebras of slice functions. Zbl 1455.30040 Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina 15 2020 Singularities of slice regular functions. Zbl 1253.30076 Stoppato, Caterina 13 2012 The zero sets of slice regular functions and the open mapping theorem. Zbl 1234.30039 Gentili, Graziano; Stoppato, Caterina 13 2011 Bergman kernel and projection on the unbounded Diederich-Fornaess worm domain. Zbl 1377.32003 Krantz, Steven G.; Peloso, Marco M.; Stoppato, Caterina 13 2016 Recent developments for regular functions of a hypercomplex variable. Zbl 1168.30329 Gentili, Graziano; Stoppato, Caterina; Struppa, Daniele C.; Vlacci, Fabio 11 2009 Landau’s theorem for slice regular functions on the quaternionic unit ball. Zbl 1368.30023 Bisi, Cinzia; Stoppato, Caterina 10 2017 Regular vs. classical Möbius transformations of the quaternionic unit ball. Zbl 1270.30018 Bisi, Cinzia; Stoppato, Caterina 9 2013 Regular functions of a quaternionic variable. 2nd edition. Zbl 1496.30001 Gentili, Graziano; Stoppato, Caterina; Struppa, Daniele C. 7 2022 A comprehensive characterization of the set of polynomial curves with rational rotation-minimizing frames. Zbl 1390.53005 Farouki, Rida T.; Gentili, Graziano; Giannelli, Carlotta; Sestini, Alessandra; Stoppato, Caterina 6 2017 A local representation formula for quaternionic slice regular functions. Zbl 1479.30037 Gentili, Graziano; Stoppato, Caterina 6 2021 Geometric function theory over quaternionic slice domains. Zbl 1479.30036 Gentili, Graziano; Stoppato, Caterina 6 2021 Zeros of slice functions and polynomials over dual quaternions. Zbl 1472.30021 Gentili, Graziano; Stoppato, Caterina; Trinci, Tomaso 3 2021 Solution of a quadratic quaternion equation with mixed coefficients. Zbl 1329.15039 Farouki, Rida T.; Gentili, Graziano; Giannelli, Carlotta; Sestini, Alessandra; Stoppato, Caterina 2 2016 Some notions of subharmonicity over the quaternions. Zbl 1442.30059 Stoppato, Caterina 2 2019 Completeness on the worm domain and the Müntz-Szász problem for the Bergman space. Zbl 1421.32012 Krantz, Steven G.; Peloso, Marco M.; Stoppato, Caterina 2 2019 Slice regular functions and orthogonal complex structures over \(\mathbb{R}^8\). Zbl 1510.32005 Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina 1 2022 Irregularity of the Bergman projection on smooth unbounded worm domains. Zbl 1517.32006 Krantz, Steven G.; Monguzzi, Alessandro; Peloso, Marco M.; Stoppato, Caterina 1 2023 Irregularity of the Bergman projection on smooth unbounded worm domains. Zbl 1517.32006 Krantz, Steven G.; Monguzzi, Alessandro; Peloso, Marco M.; Stoppato, Caterina 1 2023 Regular functions of a quaternionic variable. 2nd edition. Zbl 1496.30001 Gentili, Graziano; Stoppato, Caterina; Struppa, Daniele C. 7 2022 Slice regular functions and orthogonal complex structures over \(\mathbb{R}^8\). Zbl 1510.32005 Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina 1 2022 A local representation formula for quaternionic slice regular functions. Zbl 1479.30037 Gentili, Graziano; Stoppato, Caterina 6 2021 Geometric function theory over quaternionic slice domains. Zbl 1479.30036 Gentili, Graziano; Stoppato, Caterina 6 2021 Zeros of slice functions and polynomials over dual quaternions. Zbl 1472.30021 Gentili, Graziano; Stoppato, Caterina; Trinci, Tomaso 3 2021 Division algebras of slice functions. Zbl 1455.30040 Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina 15 2020 Some notions of subharmonicity over the quaternions. Zbl 1442.30059 Stoppato, Caterina 2 2019 Completeness on the worm domain and the Müntz-Szász problem for the Bergman space. Zbl 1421.32012 Krantz, Steven G.; Peloso, Marco M.; Stoppato, Caterina 2 2019 The algebra of slice functions. Zbl 1404.30055 Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina 32 2017 Singularities of slice regular functions over real alternative \(^{\ast}\)-algebras. Zbl 1408.30045 Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina 26 2017 Landau’s theorem for slice regular functions on the quaternionic unit ball. Zbl 1368.30023 Bisi, Cinzia; Stoppato, Caterina 10 2017 A comprehensive characterization of the set of polynomial curves with rational rotation-minimizing frames. Zbl 1390.53005 Farouki, Rida T.; Gentili, Graziano; Giannelli, Carlotta; Sestini, Alessandra; Stoppato, Caterina 6 2017 Bergman kernel and projection on the unbounded Diederich-Fornaess worm domain. Zbl 1377.32003 Krantz, Steven G.; Peloso, Marco M.; Stoppato, Caterina 13 2016 Solution of a quadratic quaternion equation with mixed coefficients. Zbl 1329.15039 Farouki, Rida T.; Gentili, Graziano; Giannelli, Carlotta; Sestini, Alessandra; Stoppato, Caterina 2 2016 Twistor transforms of quaternionic functions and orthogonal complex structures. Zbl 1310.53045 Gentili, Graziano; Salamon, Simon; Stoppato, Caterina 33 2014 Regular functions of a quaternionic variable. Zbl 1269.30001 Gentili, Graziano; Stoppato, Caterina; Struppa, Daniele C. 164 2013 Regular vs. classical Möbius transformations of the quaternionic unit ball. Zbl 1270.30018 Bisi, Cinzia; Stoppato, Caterina 9 2013 Power series and analyticity over the quaternions. Zbl 1262.30053 Gentili, Graziano; Stoppato, Caterina 25 2012 A new series expansion for slice regular functions. Zbl 1262.30059 Stoppato, Caterina 22 2012 The Schwarz-Pick lemma for slice regular functions. Zbl 1271.30024 Bisi, Cinzia; Stoppato, Caterina 18 2012 Singularities of slice regular functions. Zbl 1253.30076 Stoppato, Caterina 13 2012 Regular Moebius transformations of the space of quaternions. Zbl 1214.30044 Stoppato, Caterina 21 2011 The zero sets of slice regular functions and the open mapping theorem. Zbl 1234.30039 Gentili, Graziano; Stoppato, Caterina 13 2011 The open mapping theorem for regular quaternionic functions. Zbl 1201.30067 Gentili, Graziano; Stoppato, Caterina 21 2009 Poles of regular quaternionic functions. Zbl 1177.30071 Stoppato, Caterina 20 2009 Recent developments for regular functions of a hypercomplex variable. Zbl 1168.30329 Gentili, Graziano; Stoppato, Caterina; Struppa, Daniele C.; Vlacci, Fabio 11 2009 Zeros of regular functions and polynomials of a quaternionic variable. Zbl 1184.30048 Gentili, Graziano; Stoppato, Caterina 67 2008 all cited Publications top 5 cited Publications all top 5 Cited by 161 Authors 45 Sabadini, Irene 35 Colombo, Fabrizio 24 Gentili, Graziano 22 Stoppato, Caterina 17 Altavilla, Amedeo 17 Perotti, Alessandro 17 Ren, Guangbin 16 Ghiloni, Riccardo 16 González-Cervantes, José Óscar 15 Alpay, Daniel Aron 13 Vlacci, Fabio 12 Diki, Kamal 12 Gal, Sorin Gheorghe 10 Bisi, Cinzia 10 Gantner, Jonathan 10 Struppa, Daniele Carlo 10 Xu, Zhenghua 8 Farouki, Rida T. 8 Monguzzi, Alessandro 8 Sarfatti, Giulia 7 De Martino, Antonino 7 Kimsey, David Patrick 7 Thirulogasanthar, Kengatharam 7 Wang, Xieping 6 Ballico, Edoardo 6 Bolotnikov, Vladimir 6 Ghanmi, Allal 6 Gori, Anna 5 de Fabritiis, Chiara 5 Dou, Xinyuan 5 Jin, Ming 5 Peloso, Marco Maria 5 Pinton, Stefano 5 Prezelj, Jasna 4 González-Campos, Daniel 4 Mir, Abdullah 4 Muraleetharan, B. 4 Schröcker, Hans-Peter 4 Winkelmann, Jörg 3 Giannelli, Carlotta 3 Giardino, Sergio 3 Kraußhar, Rolf Sören 3 Liman, Abdul 3 Mongodi, Samuele 3 Qian, Tao 3 Recupero, Vincenzo 3 Sestini, Alessandra 2 Ahmad, Abrar 2 Bektaş, Özcan 2 Benahmadi, Abdelhadi 2 Bory Reyes, Juan 2 Brambilla, Maria Chiara 2 Della Rocchetta, Chiara 2 Dospra, Petroula 2 González, Denis Deniz 2 Han, Kaikai 2 Hussain, Adil 2 Kumar, Sanjay 2 Lercher, Johanna 2 Li, Pingrun 2 Liang, Yuxia 2 Maggesi, Marco 2 Mierzejewski, Dmytro A. 2 Milovanović, Gradimir V. 2 Mir, Shahbaz 2 Salamon, Simon Montague 2 Salvatori, Maura 2 Shpakivskyi, Vitalii Stanislavovich 2 Šír, Zbyněk 2 Vasilescu, Florian-Horia 2 Wang, Jinrong 2 Wang, Maofa 2 Yang, Ting 2 Yang, Yan 2 Yüce, Salim 1 Ahmed, Ahmed El-Sayed 1 Ali, Syed Twareque 1 Alon, Gil 1 Alpay, Natanael 1 Altavilla, Ademeo 1 Angella, Daniele 1 Arcozzi, Nicola 1 Askari-Hemmat, Ataollah 1 Bakhit, Mahmoud Ali 1 Baracco, Luca 1 Cao, Lixia 1 Castillo Villalba, C. Marco Polo 1 Cerejeiras, Paula 1 Chirka, Evgeniĭ Mikhaĭlovich 1 Ciolli, Gianni 1 Cordero, J. Emilio Paz 1 Dall’Ara, Gian Maria 1 Damiano, Alberto 1 De Bie, Hendrik 1 Eelbode, David 1 El Hamyani, Amal 1 Elkachkouri, Abdelatif 1 Fečkan, Michal 1 Feng, Lianggui 1 Gabrielli, Andrea ...and 61 more Authors all top 5 Cited in 88 Serials 24 Advances in Applied Clifford Algebras 23 Complex Analysis and Operator Theory 16 Complex Variables and Elliptic Equations 15 The Journal of Geometric Analysis 11 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Journal of Mathematical Analysis and Applications 8 Journal of Geometry and Physics 6 Mathematische Nachrichten 6 Transactions of the American Mathematical Society 6 Mediterranean Journal of Mathematics 5 Advances in Mathematics 5 Integral Equations and Operator Theory 5 Mathematische Zeitschrift 5 Proceedings of the American Mathematical Society 5 Concrete Operators 4 Mathematical Methods in the Applied Sciences 4 Annals of Global Analysis and Geometry 4 Computer Aided Geometric Design 4 Journal of Symbolic Computation 4 Linear Algebra and its Applications 4 Milan Journal of Mathematics 4 Journal of Noncommutative Geometry 3 Journal of Mathematical Physics 3 Results in Mathematics 3 Analysis and Applications (Singapore) 3 Analysis and Mathematical Physics 2 Communications in Algebra 2 Houston Journal of Mathematics 2 Israel Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Journal of Computational and Applied Mathematics 2 Mathematische Annalen 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Advances in Computational Mathematics 2 Journal of the European Mathematical Society (JEMS) 2 Advances in Geometry 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Armenian Journal of Mathematics 2 Korean Journal of Mathematics 1 Analysis Mathematica 1 Bulletin of the Australian Mathematical Society 1 Russian Mathematical Surveys 1 Ukrainian Mathematical Journal 1 Beiträge zur Algebra und Geometrie 1 Applied Mathematics and Computation 1 Indiana University Mathematics Journal 1 Journal of Algebra 1 Journal of Functional Analysis 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Bulletin of the Korean Mathematical Society 1 Journal of Automated Reasoning 1 International Journal of Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Annals of Physics 1 Indagationes Mathematicae. New Series 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 The New York Journal of Mathematics 1 Mathematical Problems in Engineering 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Journal of Applied Analysis 1 Journal of Inequalities and Applications 1 Communications of the Korean Mathematical Society 1 Qualitative Theory of Dynamical Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Computational Methods and Function Theory 1 Journal of Algebra and its Applications 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Advances in Difference Equations 1 Journal of Physics A: Mathematical and Theoretical 1 Applicable Analysis and Discrete Mathematics 1 Banach Journal of Mathematical Analysis 1 Ars Mathematica Contemporanea 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Arabian Journal of Mathematics 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Journal of Mathematics 1 Complex Analysis and its Synergies 1 Journal of Function Spaces 1 International Journal of Applied and Computational Mathematics 1 Proceedings of the American Mathematical Society. Series B 1 Advances in Operator Theory 1 Annales Fennici Mathematici all top 5 Cited in 32 Fields 211 Functions of a complex variable (30-XX) 49 Operator theory (47-XX) 48 Several complex variables and analytic spaces (32-XX) 22 Differential geometry (53-XX) 18 Functional analysis (46-XX) 13 Algebraic geometry (14-XX) 11 Associative rings and algebras (16-XX) 11 Numerical analysis (65-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Nonassociative rings and algebras (17-XX) 9 Computer science (68-XX) 8 Number theory (11-XX) 8 Integral transforms, operational calculus (44-XX) 8 Quantum theory (81-XX) 7 Approximations and expansions (41-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Field theory and polynomials (12-XX) 6 Special functions (33-XX) 5 Real functions (26-XX) 5 Potential theory (31-XX) 5 Partial differential equations (35-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 2 Ordinary differential equations (34-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 1 Combinatorics (05-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year