Graziano Gentili

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All published works
Action Title Year Authors
+ On a continuation of quaternionic and octonionic logarithm along curves and the winding number 2024 Graziano Gentili
Jasna Prezelj
Fabio Vlacci
+ On a definition of logarithm of quaternionic functions 2023 Graziano Gentili
Jasna Prezelj
Fabio Vlacci
+ PDF Chat The Merchant and the Mathematician: Commerce and Accounting 2023 Graziano Gentili
Luisa Simonutti
Daniele C. Struppa
+ On a continuation of quaternionic and octonionic logarithm along curves and the winding number 2023 Graziano Gentili
Jasna Prezelj
Fabio Vlacci
+ PDF Chat Slice conformality and Riemann manifolds on quaternions and octonions 2022 Graziano Gentili
Jasna Prezelj
Fabio Vlacci
+ Applications 2022 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ Maximum Modulus Theorem and Applications 2022 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ Regular Power Series 2022 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ Definitions and Basic Results 2022 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ Generalizations 2022 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ Spherical Series and Differential 2022 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ Integral Representations 2022 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ Infinite Products 2022 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ Function Theory Over Non-symmetric Slice Domains 2022 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ Zeros 2022 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ PDF Chat Regular Functions of a Quaternionic Variable 2022 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ Singularities 2022 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ Fractional Transformations and the Unit Ball 2022 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ The Mathematics of Painting: the Birth of Projective Geometry in the Italian Renaissance 2022 Graziano Gentili
Luisa Simonutti
Daniele C. Struppa
+ PDF Chat The mathematics of painting: the birth of projective geometry in the Italian Renaissance 2022 Graziano Gentili
Luisa Simonutti
Daniele C. Struppa
+ Slice conformality: Riemann manifolds and logarithm on quaternions and octonions 2021 Graziano Gentili
Jasna Prezelj
Fabio Vlacci
+ Zeros of slice functions and polynomials over dual quaternions 2021 Graziano Gentili
Caterina Stoppato
Tomaso Trinci
+ On a definition of logarithm of quaternionic functions 2021 Graziano Gentili
Jasna Prezelj
Fabio Vlacci
+ A local representation formula for quaternionic slice regular functions 2020 Graziano Gentili
Caterina Stoppato
+ PDF Chat Geometric function theory over quaternionic slice domains 2020 Graziano Gentili
Caterina Stoppato
+ PDF Chat On Compact Affine Quaternionic Curves and Surfaces 2019 Graziano Gentili
Anna Maria Gori
Giulia Sarfatti
+ On compact affine quaternionic curves and surfaces 2019 Graziano Gentili
Anna Maria Gori
Giulia Sarfatti
+ PDF Chat Minkowski products of unit quaternion sets 2019 Rida T. Farouki
Graziano Gentili
Hwan Pyo Moon
Caterina Stoppato
+ PDF Chat Quaternionic toric manifolds 2019 Graziano Gentili
Anna Maria Gori
Giulia Sarfatti
+ On compact affine quaternionic curves and surfaces 2019 Graziano Gentili
Anna Maria Gori
Giulia Sarfatti
+ PDF Chat On quaternionic tori and their moduli space 2018 Cinzia Bisi
Graziano Gentili
+ PDF Chat Quaternionic Hardy spaces 2018 Chiara de Fabritiis
Graziano Gentili
Giulia Sarfatti
+ The Mittag-Leffler Theorem for regular functions of a quaternionic variable 2017 Graziano Gentili
Giulia Sarfatti
+ The Mittag-Leffler Theorem for regular functions of a quaternionic variable 2017 Graziano Gentili
Giulia Sarfatti
+ The Mittag-Leffler Theorem for regular functions of a quaternionic variable 2017 Graziano Gentili
Giulia Sarfatti
+ Quaternionic toric manifolds 2016 Graziano Gentili
Anna Maria Gori
Giulia Sarfatti
+ A direct approach to quaternionic manifolds 2016 Graziano Gentili
Anna Maria Gori
Giulia Sarfatti
+ Ideals of regular functions of a quaternionic variable 2016 Graziano Gentili
Giulia Sarfatti
Daniele C. Struppa
+ PDF Chat A direct approach to quaternionic manifolds 2016 Graziano Gentili
Anna Maria Gori
Giulia Sarfatti
+ PDF Chat A comprehensive characterization of the set of polynomial curves with rational rotation-minimizing frames 2016 Rida T. Farouki
Graziano Gentili
Carlotta Giannelli
Alessandra Sestini
Caterina Stoppato
+ Ideals of regular functions of a quaternionic variable 2016 Graziano Gentili
Giulia Sarfatti
Daniele C. Struppa
+ A direct approach to quaternionic manifolds 2016 Graziano Gentili
Anna Maria Gori
Giulia Sarfatti
+ Quaternionic toric manifolds 2016 Graziano Gentili
Anna Maria Gori
Giulia Sarfatti
+ PDF Chat Ideals of regular functions of a quaternionic variable 2016 Graziano Gentili
Giulia Sarfatti
Daniele C. Struppa
+ Solution of a quadratic quaternion equation with mixed coefficients 2015 Rida T. Farouki
Graziano Gentili
Carlotta Giannelli
Alessandra Sestini
Caterina Stoppato
+ PDF Chat Twistor transforms of quaternionic functions and orthogonal complex structures 2014 Graziano Gentili
Simon Salamon
Caterina Stoppato
+ Quaternionic Hardy spaces 2014 Chiara de Fabritiis
Graziano Gentili
Giulia Sarfatti
+ Quaternionic Hardy spaces 2014 Chiara de Fabritiis
Graziano Gentili
Giulia Sarfatti
+ PDF Chat Landau–Toeplitz theorems for slice regular functions over quaternions 2013 Graziano Gentili
Giulia Sarfatti
+ PDF Chat Regular functions of a quaternionic variable 2013 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ PDF Chat Regular Functions of a Quaternionic Variable 2013 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ PDF Chat A Bloch-Landau Theorem for Slice Regular Functions 2012 Chiara Della Rocchetta
Graziano Gentili
Giulia Sarfatti
+ Maximum Modulus Theorem and Applications 2012 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ Generalizations and Applications 2012 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ Spherical Series and Differential 2012 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ Fractional Transformations and the Unit Ball 2012 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ Zeros 2012 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ Infinite Products 2012 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ Singularities 2012 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ Integral Representations 2012 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ Definitions and Basic Results 2012 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ Regular Power Series 2012 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ PDF Chat The Bohr Theorem for slice regular functions 2012 Chiara Della Rocchetta
Graziano Gentili
Giulia Sarfatti
+ A Phragmén - Lindelöf principle for slice regular functions 2011 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ PDF Chat Lower bounds for polynomials of a quaternionic variable 2011 Graziano Gentili
Daniele C. Struppa
+ The Weierstrass factorization theorem for slice regular functions over the quaternions 2011 Graziano Gentili
Irene Vignozzi
+ PDF Chat Power series and analyticity over the quaternions 2011 Graziano Gentili
Caterina Stoppato
+ PDF Chat On fixed points of regular Möbius transformations over quaternions 2011 Graziano Gentili
Fabio Vlacci
+ PDF Chat The Zero Sets of Slice Regular Functions and the Open Mapping Theorem 2010 Graziano Gentili
Caterina Stoppato
+ PDF Chat On the Geometry of the Quaternionic Unit Disc 2010 Cinzia Bisi
Graziano Gentili
+ A Certified Proof of the Cartan Fixed Point Theorems 2010 Gianni Ciolli
Graziano Gentili
Marco Maggesi
+ PDF Chat Valiron’s construction in higher dimension 2010 Filippo Bracci
Graziano Gentili
Pietro Poggi‐Corradini
+ PDF Chat Regular Functions on the Space of Cayley Numbers 2010 Graziano Gentili
Daniele C. Struppa
+ PDF Chat The Open Mapping Theorem for Regular Quaternionic Functions 2009 Graziano Gentili
Caterina Stoppato
+ PDF Chat A Cauchy kernel for slice regular functions 2009 Fabrizio Colombo
Graziano Gentili
Irene Sabadini
+ PDF Chat Non-commutative functional calculus: Unbounded operators 2009 Fabrizio Colombo
Graziano Gentili
Irene Sabadini
Daniele C. Struppa
+ PDF Chat Extension results for slice regular functions of a quaternionic variable 2009 Fabrizio Colombo
Graziano Gentili
Irene Sabadini
Daniele C. Struppa
+ Computations in the ring of quaternionic polynomials 2009 Alberto Damiano
Graziano Gentili
Daniele C. Struppa
+ Extension results for slice regular functions of a quaternionic variable 2009 Fabrizio Colombo
Graziano Gentili
Irene Sabadini
Daniele C. Struppa
+ PDF Chat Non Commutative Functional Calculus: Bounded Operators 2009 Fabrizio Colombo
Graziano Gentili
Irene Sabadini
Daniele C. Struppa
+ A Cauchy kernel for slice regular functions 2009 Fabrizio Colombo
Graziano Gentili
Irene Sabadini
+ PDF Chat A Phragm\'en - Lindel\"of principle for slice regular functions 2009 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
+ PDF Chat Moebius transformations and the Poincare distance in the quaternionic setting 2009 Cinzia Bisi
Graziano Gentili
+ A Cauchy kernel for slice regular functions 2009 Fabrizio Colombo
Graziano Gentili
Irene Sabadini
+ Extension results for slice regular functions of a quaternionic variable 2009 Fabrizio Colombo
Graziano Gentili
Irene Sabadini
Daniele C. Struppa
+ PDF Chat Zeros of regular functions and polynomials of a quaternionic variable 2008 Graziano Gentili
Caterina Stoppato
+ Rigidity for regular functions over Hamilton and Cayley numbers and a boundary Schwarz' Lemma 2008 Graziano Gentili
Fabio Vlacci
+ On the Multiplicity of Zeroes of Polynomials with Quaternionic Coefficients 2008 Graziano Gentili
Daniele C. Struppa
+ PDF Chat Regular functions on a Clifford algebra 2008 Graziano Gentili
Daniele C. Struppa
+ An Overview on Functional Calculus in Different Settings 2008 Fabrizio Colombo
Graziano Gentili
Irene Sabadini
Daniele C. Struppa
+ PDF Chat Boundary constructions of petals at the Wolff point in the parabolic case 2008 Cinzia Bisi
Graziano Gentili
+ Möbius transformations and the Poincaré distance in the quaternionic setting 2008 Cinzia Bisi
Graziano Gentili
+ PDF Chat Recent Developments for Regular Functions of a Hypercomplex Variable 2008 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
Fabio Vlacci
+ The fundamental theorem of algebra for Hamilton and Cayley numbers 2007 Graziano Gentili
Daniele C. Struppa
Fabio Vlacci
+ A new theory of regular functions of a quaternionic variable 2007 Graziano Gentili
Daniele C. Struppa
+ Valiron's construction in higher dimension 2007 Filippo Bracci
Graziano Gentili
Pietro Poggi‐Corradini
+ A Functional Calculus in a Non Commutative Setting 2007 Fabrizio Colombo
Graziano Gentili
Irene Sabadini
Daniele C. Struppa
+ PDF Chat Schröder Equation in Several Variables and Composition Operator 2006 Cinzia Bisi
Graziano Gentili
+ PDF Chat A new approach to Cullen-regular functions of a quaternionic variable 2006 Graziano Gentili
Daniele C. Struppa
+ PDF Chat Solving the Schröder equation at the boundary in several variables 2005 Filippo Bracci
Graziano Gentili
+ Commuting holomorphic maps and linear fractional models 2001 Cinzia Bisi
Graziano Gentili
+ On Rational Geometry of Conic Sections 2000 Graziano Gentili
Michael A. O’Connor
+ On Holomorphic Maps Which Commute with Hyperbolic Automorphisms 1999 Chiara de Fabritiis
Graziano Gentili
+ A boundary rigidity problem for holomorphic mappings. 1997 Graziano Gentili
Serena Migliorini
+ Sheaves of quaternionic hyperfunctions and microfunctions 1994 Adelina Fabiano
Graziano Gentili
Daniele C. Struppa
+ Quaternionic regular maps and ∂¯-type operators 1993 Graziano Gentili
Carlo Mariconda
Massimo Tarallo
+ Rational Geometry in Space 1991 Graziano Gentili
Michael A. O’Connor
+ Corona problems in spaces of entire functions with growth conditions 1987 Graziano Gentili
Daniele C. Struppa
+ Minimal Degree Solutions of Polynomial Equations 1987 Graziano Gentili
Daniele C. Struppa
+ Regular complex geodesics for the domain Dn=((z1, ..., zn) ∈ ℂn : |z1| + ... + |zn| < 1) 1987 Graziano Gentili
+ PDF Chat On complex geodesics of balanced convex domains 1986 Graziano Gentili
+ PDF Chat On a generalization of the corona problem 1986 Graziano Gentili
Daniele C. Struppa
+ On non-Uniqueness of Complex Geodesies in Convex Bounded Domains 1985 Graziano Gentili
+ Distances on convex cones 1983 Graziano Gentili
+ PDF Chat Geometry Seminar “Luigi Bianchi” 1983 Graziano Gentili
Simon Salamon
Jean-Pierre Vigué
+ Geometry Seminar "Luigi Bianchi" : lectures given at the Scuola Normale Superiore, 1982 1983 Graziano Gentili
Simon Salamon
Jean-Pierre Vigué
Edoardo Vesentini
Scuola normale superiore
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ A new theory of regular functions of a quaternionic variable 2007 Graziano Gentili
Daniele C. Struppa
55
+ PDF Chat A new approach to Cullen-regular functions of a quaternionic variable 2006 Graziano Gentili
Daniele C. Struppa
40
+ PDF Chat Zeros of regular functions and polynomials of a quaternionic variable 2008 Graziano Gentili
Caterina Stoppato
27
+ Analysis of Dirac Systems and Computational Algebra 2004 Fabrizio Colombo
Irene Sabadini
F. Sommen
Daniele C. Struppa
25
+ PDF Chat Extension results for slice regular functions of a quaternionic variable 2009 Fabrizio Colombo
Graziano Gentili
Irene Sabadini
Daniele C. Struppa
24
+ Slice regular functions on real alternative algebras 2010 Riccardo Ghiloni
Alessandro Perotti
21
+ Die Funktionentheorie der Differentialgleichungen? u=0 und?? u=0 mit vier reellen Variablen 1934 Run Fueter
20
+ On the Structure of the Set of Zeros of Quaternionic Polynomials 2004 Anatoliy Pogorui
Michael Shapiro
19
+ PDF Chat A Cauchy kernel for slice regular functions 2009 Fabrizio Colombo
Graziano Gentili
Irene Sabadini
18
+ PDF Chat The Open Mapping Theorem for Regular Quaternionic Functions 2009 Graziano Gentili
Caterina Stoppato
18
+ An integral theorem for analytic intrinsic functions on quaternions 1965 C. G. Cullen
18
+ Quaternionic analysis 1979 A. Sudbery
17
+ The fundamental theorem of algebra for Hamilton and Cayley numbers 2007 Graziano Gentili
Daniele C. Struppa
Fabio Vlacci
16
+ PDF Chat Power series and analyticity over the quaternions 2011 Graziano Gentili
Caterina Stoppato
14
+ On the Multiplicity of Zeroes of Polynomials with Quaternionic Coefficients 2008 Graziano Gentili
Daniele C. Struppa
14
+ PDF Chat Singularities of slice regular functions 2012 Caterina Stoppato
14
+ PDF Chat Poles of regular quaternionic functions 2009 Caterina Stoppato
13
+ PDF Chat The Zero Sets of Slice Regular Functions and the Open Mapping Theorem 2010 Graziano Gentili
Caterina Stoppato
13
+ PDF Chat Twistor transforms of quaternionic functions and orthogonal complex structures 2014 Graziano Gentili
Simon Salamon
Caterina Stoppato
12
+ Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions 2011 Fabrizio Colombo
Irene Sabadini
Daniele C. Struppa
12
+ PDF Chat Regular Functions of a Quaternionic Variable 2013 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
12
+ The Weierstrass factorization theorem for slice regular functions over the quaternions 2011 Graziano Gentili
Irene Vignozzi
12
+ PDF Chat A first course in noncommutative rings 1992 Tsit Yuen Lam
11
+ PDF Chat A First Course in Noncommutative Rings 1991 T. Y. Lam
11
+ Über einen Hartogs'schen Satz 1939 Rud Fueter
10
+ PDF Chat Regular functions of a quaternionic variable 2013 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
10
+ A new functional calculus for noncommuting operators 2008 Fabrizio Colombo
Irene Sabadini
Daniele C. Struppa
10
+ A Functional Calculus in a Non Commutative Setting 2007 Fabrizio Colombo
Graziano Gentili
Irene Sabadini
Daniele C. Struppa
10
+ PDF Chat Slice monogenic functions 2009 Fabrizio Colombo
Irene Sabadini
Daniele C. Struppa
10
+ PDF Chat Recent Developments for Regular Functions of a Hypercomplex Variable 2008 Graziano Gentili
Caterina Stoppato
Daniele C. Struppa
Fabio Vlacci
10
+ PDF Chat Zeros of regular functions of quaternionic and octonionic variable: a division lemma and the camshaft effect 2010 Riccardo Ghiloni
Alessandro Perotti
10
+ PDF Chat A Bloch-Landau Theorem for Slice Regular Functions 2012 Chiara Della Rocchetta
Graziano Gentili
Giulia Sarfatti
9
+ Zeros of quaternion polynomials 2001 Rogério Serôdio
Lok-shun Siu
9
+ PDF Chat Moebius transformations and the Poincare distance in the quaternionic setting 2009 Cinzia Bisi
Graziano Gentili
9
+ A new series expansion for slice regular functions 2012 Caterina Stoppato
9
+ Function Theory in the Unit Ball of ℂn 2012 Walter Rudin
9
+ Iteration theory of holomorphic maps on taut manifolds 1989 Marco Abate
9
+ PDF Chat Non-commutative functional calculus: Unbounded operators 2009 Fabrizio Colombo
Graziano Gentili
Irene Sabadini
Daniele C. Struppa
9
+ Integral Representations For Spatial Models of Mathematical Physics 2020 Vladislav V. Kravchenko
Michael Shapiro
8
+ Noncommutative Functional Calculus 2011 Fabrizio Colombo
Irene Sabadini
Daniele C. Struppa
8
+ PDF Chat Regular Moebius transformations of the space of quaternions 2010 Caterina Stoppato
8
+ Equations in Quaternions 1941 Ivan Niven
7
+ PDF Chat The “fundamental theorem of algebra” for quaternions 1944 Samuel Eilenberg
Ivan Niven
7
+ PDF Chat Regular Functions on the Space of Cayley Numbers 2010 Graziano Gentili
Daniele C. Struppa
7
+ Graduate Texts in Mathematics 1977 Rajendra Bhatia
Glen Bredon
Wolfgang Walter
Joseph Rotman
M. Ram Murty
Jane Gilman
Peter Walters
Martin Golubitsky
Ioannis Karatzas
Henri Cohen
7
+ PDF Chat The Bohr Theorem for slice regular functions 2012 Chiara Della Rocchetta
Graziano Gentili
Giulia Sarfatti
7
+ PDF Chat Regular functions on a Clifford algebra 2008 Graziano Gentili
Daniele C. Struppa
7
+ Quaternionic determinants 1996 Helmer Aslaksen
7
+ PDF Chat A direct approach to quaternionic manifolds 2016 Graziano Gentili
Anna Maria Gori
Giulia Sarfatti
7
+ On Some Properties of the Quaternionic Functional Calculus 2009 Fabrizio Colombo
Irene Sabadini
7