A new theory of regular functions of a quaternionic variable. Zbl 1124.30015
Gentili, Graziano; Struppa, Daniele C. |
|
2007
|
Regular functions of a quaternionic variable. Zbl 1269.30001
Gentili, Graziano; Stoppato, Caterina; Struppa, Daniele C. |
|
2013
|
A new approach to Cullen-regular functions of a quaternionic variable. Zbl 1105.30037
Gentili, Graziano; Struppa, Daniele C. |
|
2006
|
Zeros of regular functions and polynomials of a quaternionic variable. Zbl 1184.30048
Gentili, Graziano; Stoppato, Caterina |
|
2008
|
Extension results for slice regular functions of a quaternionic variable. Zbl 1179.30052
Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene; Struppa, Daniele |
|
2009
|
Regular functions on the space of Cayley numbers. Zbl 1193.30070
Gentili, Graziano; Struppa, Daniele C. |
|
2010
|
On the multiplicity of zeroes of polynomials with quaternionic coefficients. Zbl 1194.30054
Gentili, Graziano; Struppa, Daniele C. |
|
2008
|
A Cauchy kernel for slice regular functions. Zbl 1193.30069
Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene |
|
2010
|
Moebius transformations and the Poincaré distance in the quaternionic setting. Zbl 1193.30067
Bisi, Cinzia; Gentili, Graziano |
|
2009
|
Twistor transforms of quaternionic functions and orthogonal complex structures. Zbl 1310.53045
Gentili, Graziano; Salamon, Simon; Stoppato, Caterina |
|
2014
|
Non commutative functional calculus: bounded operators. Zbl 1225.47018
Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene; Struppa, Daniele C. |
|
2010
|
Power series and analyticity over the quaternions. Zbl 1262.30053
Gentili, Graziano; Stoppato, Caterina |
|
2012
|
The fundamental theorem of algebra for Hamilton and Cayley numbers. Zbl 1144.30004
Gentili, Graziano; Struppa, Daniele C.; Vlacci, Fabio |
|
2008
|
The open mapping theorem for regular quaternionic functions. Zbl 1201.30067
Gentili, Graziano; Stoppato, Caterina |
|
2009
|
A functional calculus in a noncommutative setting. Zbl 1137.47014
Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene; Struppa, Daniele C. |
|
2007
|
Solving the Schröder equation at the boundary in several variables. Zbl 1130.32007
Bracci, Filippo; Gentili, Graziano |
|
2005
|
Regular functions of a quaternionic variable.
2nd edition. Zbl 1496.30001
Gentili, Graziano; Stoppato, Caterina; Struppa, Daniele C. |
|
2022
|
The zero sets of slice regular functions and the open mapping theorem. Zbl 1234.30039
Gentili, Graziano; Stoppato, Caterina |
|
2011
|
Regular functions on a Clifford algebra. Zbl 1201.30068
Gentili, Graziano; Struppa, Daniele C. |
|
2008
|
Non-commutative functional calculus: unbounded operators. Zbl 1197.47030
Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene; Struppa, Daniele C. |
|
2010
|
Recent developments for regular functions of a hypercomplex variable. Zbl 1168.30329
Gentili, Graziano; Stoppato, Caterina; Struppa, Daniele C.; Vlacci, Fabio |
|
2009
|
The Bohr theorem for slice regular functions. Zbl 1257.30053
Della Rocchetta, Chiara; Gentili, Graziano; Sarfatti, Giulia |
|
2012
|
On quaternionic tori and their moduli space. Zbl 1405.30051
Bisi, Cinzia; Gentili, Graziano |
|
2018
|
Valiron’s construction in higher dimension. Zbl 1198.32006
Bracci, Filippo; Gentili, Graziano; Poggi-Corradini, Pietro |
|
2010
|
A Bloch-Landau theorem for slice regular functions. Zbl 1273.30041
Della Rocchetta, Chiara; Gentili, Graziano; Sarfatti, Giulia |
|
2013
|
Sheaves of quaternionic hyperfunctions and microfunctions. Zbl 0819.30030
Fabiano, Adelina; Gentili, Graziano; Struppa, Daniele C. |
|
1994
|
Landau-Toeplitz theorems for slice regular functions over quaternions. Zbl 1284.30046
Gentili, Graziano; Sarfatti, Giulia |
|
2013
|
Rigidity for regular functions over Hamilton and Cayley numbers and a boundary Schwarz’ lemma. Zbl 1176.30100
Gentili, Graziano; Vlacci, Fabio |
|
2008
|
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 |
|
2017
|
Geometric function theory over quaternionic slice domains. Zbl 1479.30036
Gentili, Graziano; Stoppato, Caterina |
|
2021
|
The Weierstrass factorization theorem for slice regular functions over the quaternions. Zbl 1246.30081
Gentili, Graziano; Vignozzi, Irene |
|
2011
|
On the geometry of the quaternionic unit disc. Zbl 1220.30067
Bisi, Cinzia; Gentili, Graziano |
|
2011
|
A direct approach to quaternionic manifolds. Zbl 1361.30086
Gentili, Graziano; Gori, Anna; Sarfatti, Giulia |
|
2017
|
Quaternionic Hardy spaces. Zbl 1407.30025
de Fabritiis, Chiara; Gentili, Graziano; Sarfatti, Giulia |
|
2018
|
An overview on functional calculus in different settings. Zbl 1221.47027
Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene; Struppa, Daniele C. |
|
2009
|
A local representation formula for quaternionic slice regular functions. Zbl 1479.30037
Gentili, Graziano; Stoppato, Caterina |
|
2021
|
On holomorphic maps which commute with hyperbolic automorphisms. Zbl 0976.32014
de Fabritiis, Chiara; Gentili, Graziano |
|
1999
|
Minimal degree solutions of polynomial equations. Zbl 0624.13008
Gentili, Graziano; Struppa, Daniele |
|
1987
|
Computations in the ring of quaternionic polynomials. Zbl 1221.30104
Damiano, Alberto; Gentili, Graziano; Struppa, Daniele |
|
2010
|
On complex geodesics of balanced convex domains. Zbl 0619.32015
Gentili, Graziano |
|
1986
|
Simple unit vectors orthogonal to a given vector. Zbl 0653.68022
O’Connor, Michael A.; Gentili, Graziano |
|
1987
|
Regular complex geodesics for the domain \(D_ n=\{(z_ 1,\dots ,z_ n)\in {\mathbb{C}}\quad n:\quad | z_ 1| +\dots +| z_ n| <1\}.\quad \). Zbl 0643.32008
Gentili, Graziano |
|
1987
|
Commuting holomorphic maps and linear fractional models. Zbl 1023.30032
Bisi, Cinzia; Gentili, Graziano |
|
2001
|
Quaternionic structures in mathematics and physics. Proceedings of the meeting, Trieste, Italy, September 5–9, 1994. Zbl 0934.00021
|
|
1998
|
Schröder equation in several variables and composition operators. Zbl 1223.32004
Bisi, Cinzia; Gentili, Graziano |
|
2006
|
On non-uniqueness of complex geodesics in convex bounded domains. Zbl 0637.46018
Gentili, Graziano |
|
1985
|
A boundary rigidity problem for holomorphic mappings. Zbl 0935.32014
Gentili, Graziano; Migliorini, Serena |
|
1997
|
Slice conformality and Riemann manifolds on quaternions and octonions. Zbl 1509.30034
Gentili, Graziano; Prezelj, Jasna; Vlacci, Fabio |
|
2022
|
Zeros of slice functions and polynomials over dual quaternions. Zbl 1472.30021
Gentili, Graziano; Stoppato, Caterina; Trinci, Tomaso |
|
2021
|
On compact affine quaternionic curves and surfaces. Zbl 1479.30035
Gentili, Graziano; Gori, Anna; Sarfatti, Giulia |
|
2021
|
Solution of a quadratic quaternion equation with mixed coefficients. Zbl 1329.15039
Farouki, Rida T.; Gentili, Graziano; Giannelli, Carlotta; Sestini, Alessandra; Stoppato, Caterina |
|
2016
|
Pseudo-iteration semigroups and commuting holomorphic maps. Zbl 0798.30015
Gentili, Graziano; Vlacci, Fabio |
|
1994
|
On rational geometry of conic sections. Zbl 0959.68125
Gentili, Graziano; O’Connor, Michael A. |
|
2000
|
A certified proof of the Cartan fixed point theorems. Zbl 1250.68233
Ciolli, Gianni; Gentili, Graziano; Maggesi, Marco |
|
2011
|
On fixed points of regular Möbius transformations over quaternions. Zbl 1253.30064
Gentili, Graziano; Vlacci, Fabio |
|
2011
|
Lower bounds for polynomials of a quaternionic variable. Zbl 1244.30070
Gentili, Graziano; Struppa, Daniele C. |
|
2012
|
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. Zbl 1253.30004
|
|
2013
|
Rational geometry in space. Zbl 0732.20030
Gentili, Graziano; O’Connor, Michael A. |
|
1991
|
Holomorphic dynamical systems. Lectures given at the C.I.M.E. summer school, Cetraro, Italy, July 7–12, 2008. Zbl 1195.37006
|
|
2010
|
Differential geometry of light-cones. Zbl 0462.53013
Gentili, Graziano |
|
1980
|
Quaternionic regular maps and \(\bar \partial\)-type operators. Zbl 0813.30037
Gentili, Graziano; Mariconda, Carlo; Tarallo, Massimo |
|
1993
|
Finsler complex geodesics and holomorphic curvature. Zbl 0852.53049
Gentili, Graziano; Visintin, Barbara |
|
1993
|
Quaternionic toric manifolds. Zbl 1430.53094
Gentili, Graziano; Gori, Anna; Sarfatti, Giulia |
|
2019
|
On a definition of logarithm of quaternionic functions. Zbl 1535.30112
Gentili, Graziano; Prezelj, Jasna; Vlacci, Fabio |
|
2023
|
The Mittag-Leffler theorem for regular functions of a quaternionic variable. Zbl 1369.30057
Gentili, Graziano; Sarfatti, Giulia |
|
2017
|
On a definition of logarithm of quaternionic functions. Zbl 1535.30112
Gentili, Graziano; Prezelj, Jasna; Vlacci, Fabio |
|
2023
|
Regular functions of a quaternionic variable.
2nd edition. Zbl 1496.30001
Gentili, Graziano; Stoppato, Caterina; Struppa, Daniele C. |
|
2022
|
Slice conformality and Riemann manifolds on quaternions and octonions. Zbl 1509.30034
Gentili, Graziano; Prezelj, Jasna; Vlacci, Fabio |
|
2022
|
Geometric function theory over quaternionic slice domains. Zbl 1479.30036
Gentili, Graziano; Stoppato, Caterina |
|
2021
|
A local representation formula for quaternionic slice regular functions. Zbl 1479.30037
Gentili, Graziano; Stoppato, Caterina |
|
2021
|
Zeros of slice functions and polynomials over dual quaternions. Zbl 1472.30021
Gentili, Graziano; Stoppato, Caterina; Trinci, Tomaso |
|
2021
|
On compact affine quaternionic curves and surfaces. Zbl 1479.30035
Gentili, Graziano; Gori, Anna; Sarfatti, Giulia |
|
2021
|
Quaternionic toric manifolds. Zbl 1430.53094
Gentili, Graziano; Gori, Anna; Sarfatti, Giulia |
|
2019
|
On quaternionic tori and their moduli space. Zbl 1405.30051
Bisi, Cinzia; Gentili, Graziano |
|
2018
|
Quaternionic Hardy spaces. Zbl 1407.30025
de Fabritiis, Chiara; Gentili, Graziano; Sarfatti, Giulia |
|
2018
|
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 |
|
2017
|
A direct approach to quaternionic manifolds. Zbl 1361.30086
Gentili, Graziano; Gori, Anna; Sarfatti, Giulia |
|
2017
|
The Mittag-Leffler theorem for regular functions of a quaternionic variable. Zbl 1369.30057
Gentili, Graziano; Sarfatti, Giulia |
|
2017
|
Solution of a quadratic quaternion equation with mixed coefficients. Zbl 1329.15039
Farouki, Rida T.; Gentili, Graziano; Giannelli, Carlotta; Sestini, Alessandra; Stoppato, Caterina |
|
2016
|
Twistor transforms of quaternionic functions and orthogonal complex structures. Zbl 1310.53045
Gentili, Graziano; Salamon, Simon; Stoppato, Caterina |
|
2014
|
Regular functions of a quaternionic variable. Zbl 1269.30001
Gentili, Graziano; Stoppato, Caterina; Struppa, Daniele C. |
|
2013
|
A Bloch-Landau theorem for slice regular functions. Zbl 1273.30041
Della Rocchetta, Chiara; Gentili, Graziano; Sarfatti, Giulia |
|
2013
|
Landau-Toeplitz theorems for slice regular functions over quaternions. Zbl 1284.30046
Gentili, Graziano; Sarfatti, Giulia |
|
2013
|
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. Zbl 1253.30004
|
|
2013
|
Power series and analyticity over the quaternions. Zbl 1262.30053
Gentili, Graziano; Stoppato, Caterina |
|
2012
|
The Bohr theorem for slice regular functions. Zbl 1257.30053
Della Rocchetta, Chiara; Gentili, Graziano; Sarfatti, Giulia |
|
2012
|
Lower bounds for polynomials of a quaternionic variable. Zbl 1244.30070
Gentili, Graziano; Struppa, Daniele C. |
|
2012
|
The zero sets of slice regular functions and the open mapping theorem. Zbl 1234.30039
Gentili, Graziano; Stoppato, Caterina |
|
2011
|
The Weierstrass factorization theorem for slice regular functions over the quaternions. Zbl 1246.30081
Gentili, Graziano; Vignozzi, Irene |
|
2011
|
On the geometry of the quaternionic unit disc. Zbl 1220.30067
Bisi, Cinzia; Gentili, Graziano |
|
2011
|
A certified proof of the Cartan fixed point theorems. Zbl 1250.68233
Ciolli, Gianni; Gentili, Graziano; Maggesi, Marco |
|
2011
|
On fixed points of regular Möbius transformations over quaternions. Zbl 1253.30064
Gentili, Graziano; Vlacci, Fabio |
|
2011
|
Regular functions on the space of Cayley numbers. Zbl 1193.30070
Gentili, Graziano; Struppa, Daniele C. |
|
2010
|
A Cauchy kernel for slice regular functions. Zbl 1193.30069
Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene |
|
2010
|
Non commutative functional calculus: bounded operators. Zbl 1225.47018
Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene; Struppa, Daniele C. |
|
2010
|
Non-commutative functional calculus: unbounded operators. Zbl 1197.47030
Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene; Struppa, Daniele C. |
|
2010
|
Valiron’s construction in higher dimension. Zbl 1198.32006
Bracci, Filippo; Gentili, Graziano; Poggi-Corradini, Pietro |
|
2010
|
Computations in the ring of quaternionic polynomials. Zbl 1221.30104
Damiano, Alberto; Gentili, Graziano; Struppa, Daniele |
|
2010
|
Holomorphic dynamical systems. Lectures given at the C.I.M.E. summer school, Cetraro, Italy, July 7–12, 2008. Zbl 1195.37006
|
|
2010
|
Extension results for slice regular functions of a quaternionic variable. Zbl 1179.30052
Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene; Struppa, Daniele |
|
2009
|
Moebius transformations and the Poincaré distance in the quaternionic setting. Zbl 1193.30067
Bisi, Cinzia; Gentili, Graziano |
|
2009
|
The open mapping theorem for regular quaternionic functions. Zbl 1201.30067
Gentili, Graziano; Stoppato, Caterina |
|
2009
|
Recent developments for regular functions of a hypercomplex variable. Zbl 1168.30329
Gentili, Graziano; Stoppato, Caterina; Struppa, Daniele C.; Vlacci, Fabio |
|
2009
|
An overview on functional calculus in different settings. Zbl 1221.47027
Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene; Struppa, Daniele C. |
|
2009
|
Zeros of regular functions and polynomials of a quaternionic variable. Zbl 1184.30048
Gentili, Graziano; Stoppato, Caterina |
|
2008
|
On the multiplicity of zeroes of polynomials with quaternionic coefficients. Zbl 1194.30054
Gentili, Graziano; Struppa, Daniele C. |
|
2008
|
The fundamental theorem of algebra for Hamilton and Cayley numbers. Zbl 1144.30004
Gentili, Graziano; Struppa, Daniele C.; Vlacci, Fabio |
|
2008
|
Regular functions on a Clifford algebra. Zbl 1201.30068
Gentili, Graziano; Struppa, Daniele C. |
|
2008
|
Rigidity for regular functions over Hamilton and Cayley numbers and a boundary Schwarz’ lemma. Zbl 1176.30100
Gentili, Graziano; Vlacci, Fabio |
|
2008
|
A new theory of regular functions of a quaternionic variable. Zbl 1124.30015
Gentili, Graziano; Struppa, Daniele C. |
|
2007
|
A functional calculus in a noncommutative setting. Zbl 1137.47014
Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene; Struppa, Daniele C. |
|
2007
|
A new approach to Cullen-regular functions of a quaternionic variable. Zbl 1105.30037
Gentili, Graziano; Struppa, Daniele C. |
|
2006
|
Schröder equation in several variables and composition operators. Zbl 1223.32004
Bisi, Cinzia; Gentili, Graziano |
|
2006
|
Solving the Schröder equation at the boundary in several variables. Zbl 1130.32007
Bracci, Filippo; Gentili, Graziano |
|
2005
|
Commuting holomorphic maps and linear fractional models. Zbl 1023.30032
Bisi, Cinzia; Gentili, Graziano |
|
2001
|
On rational geometry of conic sections. Zbl 0959.68125
Gentili, Graziano; O’Connor, Michael A. |
|
2000
|
On holomorphic maps which commute with hyperbolic automorphisms. Zbl 0976.32014
de Fabritiis, Chiara; Gentili, Graziano |
|
1999
|
Quaternionic structures in mathematics and physics. Proceedings of the meeting, Trieste, Italy, September 5–9, 1994. Zbl 0934.00021
|
|
1998
|
A boundary rigidity problem for holomorphic mappings. Zbl 0935.32014
Gentili, Graziano; Migliorini, Serena |
|
1997
|
Sheaves of quaternionic hyperfunctions and microfunctions. Zbl 0819.30030
Fabiano, Adelina; Gentili, Graziano; Struppa, Daniele C. |
|
1994
|
Pseudo-iteration semigroups and commuting holomorphic maps. Zbl 0798.30015
Gentili, Graziano; Vlacci, Fabio |
|
1994
|
Quaternionic regular maps and \(\bar \partial\)-type operators. Zbl 0813.30037
Gentili, Graziano; Mariconda, Carlo; Tarallo, Massimo |
|
1993
|
Finsler complex geodesics and holomorphic curvature. Zbl 0852.53049
Gentili, Graziano; Visintin, Barbara |
|
1993
|
Rational geometry in space. Zbl 0732.20030
Gentili, Graziano; O’Connor, Michael A. |
|
1991
|
Minimal degree solutions of polynomial equations. Zbl 0624.13008
Gentili, Graziano; Struppa, Daniele |
|
1987
|
Simple unit vectors orthogonal to a given vector. Zbl 0653.68022
O’Connor, Michael A.; Gentili, Graziano |
|
1987
|
Regular complex geodesics for the domain \(D_ n=\{(z_ 1,\dots ,z_ n)\in {\mathbb{C}}\quad n:\quad | z_ 1| +\dots +| z_ n| <1\}.\quad \). Zbl 0643.32008
Gentili, Graziano |
|
1987
|
On complex geodesics of balanced convex domains. Zbl 0619.32015
Gentili, Graziano |
|
1986
|
On non-uniqueness of complex geodesics in convex bounded domains. Zbl 0637.46018
Gentili, Graziano |
|
1985
|
Differential geometry of light-cones. Zbl 0462.53013
Gentili, Graziano |
|
1980
|