Ghiloni, Riccardo; Stoppato, Caterina Quaternionic slice regularity beyond slice domains. (English) Zbl 07812275 Math. Z. 306, No. 3, Paper No. 55, 42 p. (2024). MSC: 30Gxx 30Cxx 32Axx PDFBibTeX XMLCite \textit{R. Ghiloni} and \textit{C. Stoppato}, Math. Z. 306, No. 3, Paper No. 55, 42 p. (2024; Zbl 07812275) Full Text: DOI arXiv OA License
Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina Errata to: “The algebra of slice functions”. (English) Zbl 1518.30018 Trans. Am. Math. Soc. 376, No. 4, 3007-3010 (2023). Reviewer: Eckhard Hitzer (Tokyo) MSC: 30G35 PDFBibTeX XMLCite \textit{R. Ghiloni} et al., Trans. Am. Math. Soc. 376, No. 4, 3007--3010 (2023; Zbl 1518.30018) Full Text: DOI
Ghiloni, Riccardo; Stoppato, Caterina A unified notion of regularity in one hypercomplex variable. arXiv:2309.02891 Preprint, arXiv:2309.02891 [math.CV] (2023). MSC: 30G35 BibTeX Cite \textit{R. Ghiloni} and \textit{C. Stoppato}, ``A unified notion of regularity in one hypercomplex variable'', Preprint, arXiv:2309.02891 [math.CV] (2023) Full Text: arXiv OA License
Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina Slice regular functions and orthogonal complex structures over \(\mathbb{R}^8\). (English) Zbl 1510.32005 J. Noncommut. Geom. 16, No. 2, 637-676 (2022). Reviewer: Eckhard Hitzer (Tokyo) MSC: 32A30 30G35 17A35 32Q60 PDFBibTeX XMLCite \textit{R. Ghiloni} et al., J. Noncommut. Geom. 16, No. 2, 637--676 (2022; Zbl 1510.32005) Full Text: DOI arXiv
Gentili, Graziano; Stoppato, Caterina; Struppa, Daniele C. Regular functions of a quaternionic variable. 2nd edition. (English) Zbl 1496.30001 Springer Monographs in Mathematics. Cham: Birkhäuser (ISBN 978-3-031-07530-8/hbk; 978-3-031-07533-9/pbk; 978-3-031-07531-5/ebook). xxv, 274 p. (2022). MSC: 30-02 30G35 40H05 PDFBibTeX XMLCite \textit{G. Gentili} et al., Regular functions of a quaternionic variable. 2nd edition. Cham: Birkhäuser (2022; Zbl 1496.30001) Full Text: DOI
Gentili, Graziano; Stoppato, Caterina; Trinci, Tomaso Zeros of slice functions and polynomials over dual quaternions. (English) Zbl 1472.30021 Trans. Am. Math. Soc. 374, No. 8, 5509-5544 (2021). Reviewer: Nelson Faustino (Alfeizerão) MSC: 30G35 30C15 PDFBibTeX XMLCite \textit{G. Gentili} et al., Trans. Am. Math. Soc. 374, No. 8, 5509--5544 (2021; Zbl 1472.30021) Full Text: DOI arXiv
Gentili, Graziano; Stoppato, Caterina A local representation formula for quaternionic slice regular functions. (English) Zbl 1479.30037 Proc. Am. Math. Soc. 149, No. 5, 2025-2034 (2021). Reviewer: Eckhard Hitzer (Tokyo) MSC: 30G35 PDFBibTeX XMLCite \textit{G. Gentili} and \textit{C. Stoppato}, Proc. Am. Math. Soc. 149, No. 5, 2025--2034 (2021; Zbl 1479.30037) Full Text: DOI arXiv
Gentili, Graziano; Stoppato, Caterina Geometric function theory over quaternionic slice domains. (English) Zbl 1479.30036 J. Math. Anal. Appl. 495, No. 2, Article ID 124780, 38 p. (2021). Reviewer: Amedeo Altavilla (Ancona) MSC: 30G35 PDFBibTeX XMLCite \textit{G. Gentili} and \textit{C. Stoppato}, J. Math. Anal. Appl. 495, No. 2, Article ID 124780, 38 p. (2021; Zbl 1479.30036) Full Text: DOI arXiv
Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina Division algebras of slice functions. (English) Zbl 1455.30040 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 4, 2055-2082 (2020). Reviewer: Amedeo Altavilla (Ancona) MSC: 30G35 17A35 30C15 30C80 30D30 PDFBibTeX XMLCite \textit{R. Ghiloni} et al., Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 4, 2055--2082 (2020; Zbl 1455.30040) Full Text: DOI arXiv
Stoppato, Caterina Some notions of subharmonicity over the quaternions. (English) Zbl 1442.30059 Bernstein, Swanhild (ed.), Topics in Clifford analysis. Special volume in honor of Wolfgang Sprößig on the occasion of his 70th birthday. Cham: Birkhäuser. Trends Math., 75-101 (2019). MSC: 30G35 31C05 PDFBibTeX XMLCite \textit{C. Stoppato}, in: Topics in Clifford analysis. Special volume in honor of Wolfgang Sprößig on the occasion of his 70th birthday. Cham: Birkhäuser. 75--101 (2019; Zbl 1442.30059) Full Text: DOI arXiv
Farouki, Rida T.; Gentili, Graziano; Moon, Hwan Pyo; Stoppato, Caterina Minkowski products of unit quaternion sets. (English) Zbl 1458.53058 Adv. Comput. Math. 45, No. 3, 1607-1629 (2019). MSC: 53C26 53A20 30G35 65G30 15B33 PDFBibTeX XMLCite \textit{R. T. Farouki} et al., Adv. Comput. Math. 45, No. 3, 1607--1629 (2019; Zbl 1458.53058) Full Text: DOI arXiv
Bisi, Cinzia; Stoppato, Caterina Landau’s theorem for slice regular functions on the quaternionic unit ball. (English) Zbl 1368.30023 Int. J. Math. 28, No. 3, Article ID 1750017, 21 p. (2017). MSC: 30G35 PDFBibTeX XMLCite \textit{C. Bisi} and \textit{C. Stoppato}, Int. J. Math. 28, No. 3, Article ID 1750017, 21 p. (2017; Zbl 1368.30023) Full Text: DOI arXiv
Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina The algebra of slice functions. (English) Zbl 1404.30055 Trans. Am. Math. Soc. 369, No. 7, 4725-4762 (2017); errata ibid. 376, No. 4, 3007-3010 (2023). Reviewer: Eckhard Hitzer (Tokyo) MSC: 30G35 17D05 32A30 30C15 PDFBibTeX XMLCite \textit{R. Ghiloni} et al., Trans. Am. Math. Soc. 369, No. 7, 4725--4762 (2017; Zbl 1404.30055) Full Text: DOI arXiv
Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina Singularities of slice regular functions over real alternative \(^{\ast}\)-algebras. (English) Zbl 1408.30045 Adv. Math. 305, 1085-1130 (2017). MSC: 30G35 17D05 32A99 PDFBibTeX XMLCite \textit{R. Ghiloni} et al., Adv. Math. 305, 1085--1130 (2017; Zbl 1408.30045) Full Text: DOI arXiv
Gentili, Graziano; Salamon, Simon; Stoppato, Caterina Twistor transforms of quaternionic functions and orthogonal complex structures. (English) Zbl 1310.53045 J. Eur. Math. Soc. (JEMS) 16, No. 11, 2323-2353 (2014). Reviewer: Włodzimierz Jelonek (Kraków) MSC: 53C28 30G35 53C55 14J26 PDFBibTeX XMLCite \textit{G. Gentili} et al., J. Eur. Math. Soc. (JEMS) 16, No. 11, 2323--2353 (2014; Zbl 1310.53045) Full Text: DOI arXiv
Bisi, Cinzia; Stoppato, Caterina Regular vs. classical Möbius transformations of the quaternionic unit ball. (English) Zbl 1270.30018 Gentili, Graziano (ed.) et al., Advances in hypercomplex analysis. Based on the INdAM workshop on different notions of regularity for functions of a quaternionic variable, Rome, Italy, September 13–17, 2010. Berlin: Springer (ISBN 978-88-470-2444-1/hbk; 978-88-470-2445-8/ebook). Springer INdAM Series 1, 1-13 (2013). Reviewer: Wolfgang Sprößig (Freiberg) MSC: 30G35 PDFBibTeX XMLCite \textit{C. Bisi} and \textit{C. Stoppato}, Springer INdAM Ser. 1, 1--13 (2013; Zbl 1270.30018) Full Text: DOI arXiv
Gentili, Graziano; Stoppato, Caterina; Struppa, Daniele C. Regular functions of a quaternionic variable. (English) Zbl 1269.30001 Springer Monographs in Mathematics. Berlin: Springer (ISBN 978-3-642-33870-0/hbk; 978-3-642-33871-7/ebook). xix, 185 p. (2013). Reviewer: Thanh Van Nguyen (Toulouse) MSC: 30-02 30G35 40H05 PDFBibTeX XMLCite \textit{G. Gentili} et al., Regular functions of a quaternionic variable. Berlin: Springer (2013; Zbl 1269.30001) Full Text: DOI
Bisi, Cinzia; Stoppato, Caterina The Schwarz-Pick lemma for slice regular functions. (English) Zbl 1271.30024 Indiana Univ. Math. J. 61, No. 1, 297-317 (2012). Reviewer: Kevin Coulembier (Gent) MSC: 30G35 PDFBibTeX XMLCite \textit{C. Bisi} and \textit{C. Stoppato}, Indiana Univ. Math. J. 61, No. 1, 297--317 (2012; Zbl 1271.30024) Full Text: DOI arXiv Link
Stoppato, Caterina A new series expansion for slice regular functions. (English) Zbl 1262.30059 Adv. Math. 231, No. 3-4, 1401-1416 (2012). Reviewer: Thanh Van Nguyen (Toulouse) MSC: 30G35 PDFBibTeX XMLCite \textit{C. Stoppato}, Adv. Math. 231, No. 3--4, 1401--1416 (2012; Zbl 1262.30059) Full Text: DOI arXiv
Stoppato, Caterina Singularities of slice regular functions. (English) Zbl 1253.30076 Math. Nachr. 285, No. 10, 1274-1293 (2012). MSC: 30G35 30D30 30B10 PDFBibTeX XMLCite \textit{C. Stoppato}, Math. Nachr. 285, No. 10, 1274--1293 (2012; Zbl 1253.30076) Full Text: DOI arXiv
Gentili, Graziano; Stoppato, Caterina Power series and analyticity over the quaternions. (English) Zbl 1262.30053 Math. Ann. 352, No. 1, 113-131 (2012). Reviewer: Linda R. Sons (DeKalb) MSC: 30G35 PDFBibTeX XMLCite \textit{G. Gentili} and \textit{C. Stoppato}, Math. Ann. 352, No. 1, 113--131 (2012; Zbl 1262.30053) Full Text: DOI arXiv
Gentili, Graziano; Stoppato, Caterina; Struppa, Daniele C. A phragmén - Lindelöf principle for slice regular functions. (English) Zbl 1253.30063 Bull. Belg. Math. Soc. - Simon Stevin 18, No. 4, 749-759 (2011). MSC: 30G35 30C80 PDFBibTeX XMLCite \textit{G. Gentili} et al., Bull. Belg. Math. Soc. - Simon Stevin 18, No. 4, 749--759 (2011; Zbl 1253.30063) Full Text: arXiv Euclid
Stoppato, Caterina Regular Moebius transformations of the space of quaternions. (English) Zbl 1214.30044 Ann. Global Anal. Geom. 39, No. 4, 387-401 (2011). MSC: 30G35 53A30 32A30 PDFBibTeX XMLCite \textit{C. Stoppato}, Ann. Global Anal. Geom. 39, No. 4, 387--401 (2011; Zbl 1214.30044) Full Text: DOI arXiv
Gentili, Graziano; Stoppato, Caterina The zero sets of slice regular functions and the open mapping theorem. (English) Zbl 1234.30039 Sabadini, Irene (ed.) et al., Hypercomplex analysis and applications. Selected papers presented at the session ‘Clifford and quaternionic analysis’ of the 7th ISAAC conference, London, UK, July 2009. Basel: Birkhäuser (ISBN 978-3-0346-0245-7/hbk). Trends in Mathematics, 95-107 (2011). Reviewer: L. R. Sons (DeKalb) MSC: 30G35 30C15 30C80 PDFBibTeX XMLCite \textit{G. Gentili} and \textit{C. Stoppato}, in: Hypercomplex analysis and applications. Selected papers presented at the session `Clifford and quaternionic analysis' of the 7th ISAAC conference, London, UK, July 2009. Basel: Birkhäuser. 95--107 (2011; Zbl 1234.30039) Full Text: DOI arXiv
Gentili, Graziano; Stoppato, Caterina The open mapping theorem for regular quaternionic functions. (English) Zbl 1201.30067 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 8, No. 4, 805-815 (2009). Reviewer: Michael Shapiro (Mexico) MSC: 30G35 PDFBibTeX XMLCite \textit{G. Gentili} and \textit{C. Stoppato}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 8, No. 4, 805--815 (2009; Zbl 1201.30067) Full Text: DOI arXiv
Stoppato, Caterina Poles of regular quaternionic functions. (English) Zbl 1177.30071 Complex Var. Elliptic Equ. 54, No. 11, 1001-1018 (2009). MSC: 30G35 30D30 30B10 PDFBibTeX XMLCite \textit{C. Stoppato}, Complex Var. Elliptic Equ. 54, No. 11, 1001--1018 (2009; Zbl 1177.30071) Full Text: DOI arXiv
Gentili, Graziano; Stoppato, Caterina; Struppa, Daniele C.; Vlacci, Fabio Recent developments for regular functions of a hypercomplex variable. (English) Zbl 1168.30329 Sabadini, Irene (ed.) et al., Hypercomplex analysis. Selected papers of the 6th ISAAC conference, Ankara, Turkey, August 13–18, 2007. Basel: Birkhäuser (ISBN 978-3-7643-9892-7/hbk; 978-3-7643-9893-4/e-book). Trends in Mathematics, 165-185 (2009). MSC: 30G35 32W05 PDFBibTeX XMLCite \textit{G. Gentili} et al., in: Hypercomplex analysis. Selected papers of the 6th ISAAC conference, Ankara, Turkey, August 13--18, 2007. Basel: Birkhäuser. 165--185 (2009; Zbl 1168.30329) Full Text: DOI Link
Gentili, Graziano; Stoppato, Caterina Zeros of regular functions and polynomials of a quaternionic variable. (English) Zbl 1184.30048 Mich. Math. J. 56, No. 3, 655-667 (2008). Reviewer: Regina Almeida (Vila Real) MSC: 30G35 30C15 16K99 PDFBibTeX XMLCite \textit{G. Gentili} and \textit{C. Stoppato}, Mich. Math. J. 56, No. 3, 655--667 (2008; Zbl 1184.30048) Full Text: DOI