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Keyword

slice regular functions

Description: A class of quaternionic and related algebra-valued functions defined by regularity on complex slices of their domain.
OpenAlex ID: keywords/slice-regular-functions
Noncommutative Functional Calculus
2011 · Fabrizio Colombo, Irene Sabadini, et al. · Progress in mathematics · 329
Regular Functions of a Quaternionic Variable
2013 · Graziano Gentili, Caterina Stoppato, et al. · Springer monographs in mathematics · 236
Continuous Slice Functional Calculus in Quaternionic Hilbert Spaces
2013 · RICCARDO GHILONI, VALTER MORETTI, et al. · Reviews in Mathematical Physics · 235
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Slice regular functions on real alternative algebras
2010 · R. Ghiloni, A. Perotti · Advances in Mathematics · 223
Extension results for slice regular functions of a quaternionic variable
2009 · Fabrizio Colombo, Graziano Gentili, et al. · Advances in Mathematics · 138
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Entire Slice Regular Functions
2016 · Fabrizio Colombo, Irene Sabadini, et al. · SpringerBriefs in mathematics · 131
On Some Properties of the Quaternionic Functional Calculus
2009 · Fabrizio Colombo, Irene Sabadini · Journal of Geometric Analysis · 95
A Cauchy kernel for slice regular functions
2009 · Fabrizio Colombo, Graziano Gentili, et al. · Annals of Global Analysis and Geometry · 81
On the formulations of the quaternionic functional calculus
2010 · Fabrizio Colombo, Irene Sabadini · Journal of Geometry and Physics · 71
The quaternionic evolution operator
2011 · Fabrizio Colombo, Irene Sabadini · Advances in Mathematics · 67
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Power series and analyticity over the quaternions
2011 · Graziano Gentili, Caterina Stoppato · Mathematische Annalen · 62
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Twistor transforms of quaternionic functions and orthogonal complex structures
2014 · Graziano Gentili, Simon Salamon, et al. · Journal of the European Mathematical Society · 58
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The Fock Space in the Slice Hyperholomorphic Setting
2013 · Daniel Alpay, Fabrizio Colombo, et al. · Trends in mathematics · 52
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Regular Functions of a Quaternionic Variable
2022 · Graziano Gentili, Caterina Stoppato, et al. · Springer monographs in mathematics · 47
The C-property for slice regular functions and applications to the Bergman space
2012 · Fabrizio Colombo, J. Oscar González-Cervantes, et al. · Complex Variables and Elliptic Equations · 47
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A new series expansion for slice regular functions
2012 · Caterina Stoppato · Advances in Mathematics · 46
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On Two Approaches to the Bergman Theory for Slice Regular Functions
2012 · Fabrizio Colombo, J. Oscar González-Cervantes, et al. · Springer INdAM series · 45
The algebra of slice functions
2015 · Riccardo Ghiloni, Alessandro Perotti, et al. · Transactions of the American Mathematical Society · 43
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Global differential equations for slice regular functions
2013 · Riccardo Ghiloni, Alessandro Perotti · Mathematische Nachrichten · 39
Non Commutative Functional Calculus: Bounded Operators
2009 · Fabrizio Colombo, Graziano Gentili, et al. · Complex Analysis and Operator Theory · 38
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A New Approach to Slice Regularity on Real Algebras
2010 · Riccardo Ghiloni, Alessandro Perotti · Springer eBooks · 36
Zeros of regular functions of quaternionic and octonionic variable: a division lemma and the camshaft effect
2010 · Ghiloni, Riccardo, Perotti, Alessandro · Unitn Eprints Research (Università Degli Studi di Trento) · 35
Singularities of slice regular functions
2016 · 34
Self-mappings of the quaternionic unit ball: multiplier properties, Schwarz-Pick inequality, and Nevanlinna--Pick interpolation problem
2015 · Irene Sabadini, Daniel Alpay, et al. · Indiana University Mathematics Journal · 34
The Schwarz-Pick lemma for slice regular functions
2012 · Cinzia Bisi, Caterina Stoppato · Indiana University Mathematics Journal · 34
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Works count: 270
Citation count: 3,557
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