×

zbMATH — the first resource for mathematics

Ghiloni, Riccardo

Compute Distance To:
Author ID: ghiloni.riccardo Recent zbMATH articles by "Ghiloni, Riccardo"
Published as: Ghiloni, Riccardo; Ghiloni, R.
Documents Indexed: 43 Publications since 2002

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 344 times in 180 Documents Cited by Year
Slice regular functions on real alternative algebras. Zbl 1217.30044
Ghiloni, R.; Perotti, A.
79
2011
Continuous slice functional calculus in quaternionic Hilbert spaces. Zbl 1291.47008
Ghiloni, Riccardo; Moretti, Valter; Perotti, Alessandro
67
2013
Semigroups over real alternative \(^\ast\)-algebras: generation theorems and spherical sectorial operators. Zbl 1351.30037
Ghiloni, Riccardo; Recupero, Vincenzo
22
2016
The algebra of slice functions. Zbl 1404.30055
Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina
17
2017
Zeros of regular functions of quaternionic and octonionic variable: a division lemma and the camshaft effect. Zbl 1246.30013
Ghiloni, R.; Perotti, A.
17
2011
Singularities of slice regular functions over real alternative \(^{\ast}\)-algebras. Zbl 1408.30045
Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina
14
2017
Construction of a finite element basis of the first de Rham cohomology group and numerical solution of 3D magnetostatic problems. Zbl 1284.78012
Rodríguez, Ana Alonso; Bertolazzi, Enrico; Ghiloni, Riccardo; Valli, Alberto
14
2013
Spectral properties of compact normal quaternionic operators. Zbl 1314.30100
Ghiloni, Riccardo; Moretti, Valter; Perotti, Alessandro
13
2014
Power and spherical series over real alternative \(^\ast\)-algebras. Zbl 1308.30057
Ghiloni, Riccardo; Perotti, Alessandro
13
2014
Global differential equations for slice regular functions. Zbl 1294.30095
Ghiloni, Riccardo; Perotti, Alessandro
11
2014
A new approach to slice regularity on real algebras. Zbl 1217.30045
Ghiloni, Riccardo; Perotti, Alessandro
9
2011
The topology of Helmholtz domains. Zbl 1276.57001
Benedetti, R.; Frigerio, R.; Ghiloni, R.
9
2012
Second order homological obstructions on real algebraic manifolds. Zbl 1122.14038
Ghiloni, Riccardo
6
2007
Rigidity and moduli space in real algebraic geometry. Zbl 1098.14045
Ghiloni, Riccardo
6
2006
Volume Cauchy formulas for slice functions on real associative \(^\ast\)-algebras. Zbl 1277.30038
Ghiloni, Riccardo; Perotti, Alessandro
6
2013
On the space of morphisms into generic real algebraic varieties. Zbl 1170.14309
Ghiloni, Riccardo
5
2006
Finite element simulation of eddy current problems using magnetic scalar potentials. Zbl 1349.78060
Alonso Rodríguez, Ana; Bertolazzi, Enrico; Ghiloni, Riccardo; Valli, Alberto
4
2015
Slice regular semigroups. Zbl 1397.30038
Ghiloni, Riccardo; Recupero, Vincenzo
4
2018
Division algebras of slice functions. Zbl 1455.30040
Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina
4
2020
Noncommutative Cauchy integral formula. Zbl 1364.30057
Ghiloni, Riccardo; Perotti, Alessandro; Recupero, Vincenzo
3
2017
On the space of real algebraic morphisms. Zbl 1172.14341
Ghiloni, Riccardo
3
2003
Graphs, spanning trees and divergence-free finite elements in domains of general topology. Zbl 1433.65274
Alonso Rodríguez, Ana; Camañno, Jessika; Ghiloni, Riccardo; Valli, Alberto
3
2017
Slice regularity in several variables. Zbl 1298.30044
Ghiloni, R.; Perotti, A.
3
2012
Lagrange polynomials over Clifford numbers. Zbl 1370.65009
Ghiloni, Riccardo; Perotti, Alessandro
2
2015
The principle of moduli flexibility for real algebraic manifolds. Zbl 1292.14038
Ballico, Edoardo; Ghiloni, Riccardo
2
2013
Boundary slices and the \(\mathcal P\)-Euler condition. Zbl 1118.14061
Ghiloni, Riccardo
1
2007
Algebraic models of symmetric Nash sets. Zbl 1327.14237
Ghiloni, Riccardo; Tancredi, Alessandro
1
2014
Algebraic obstructions and a complete solution of a rational retraction problem. Zbl 1043.14017
Ghiloni, Riccardo
1
2002
The quaternionic Gauss-Lucas theorem. Zbl 1414.30051
Ghiloni, R.; Perotti, A.
1
2018
Algebraicity of Nash sets and of their asymmetric cobordism. Zbl 1367.14020
Ghiloni, Riccardo; Tancredi, Alessandro
1
2017
Efficient construction of 2-chains with a prescribed boundary. Zbl 1385.55001
Rodríguez, Ana Alonso; Bertolazzi, Enrico; Ghiloni, Riccardo; Specogna, Ruben
1
2017
On the principle of real moduli flexibility: perfect parametrizations. Zbl 1308.14061
Ballico, Edoardo; Ghiloni, Riccardo
1
2014
On the algebraic models of symmetric smooth manifolds. Zbl 1396.14051
Ghiloni, Riccardo; Tancredi, Alessandro
1
2014
Division algebras of slice functions. Zbl 1455.30040
Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina
4
2020
Slice regular semigroups. Zbl 1397.30038
Ghiloni, Riccardo; Recupero, Vincenzo
4
2018
The quaternionic Gauss-Lucas theorem. Zbl 1414.30051
Ghiloni, R.; Perotti, A.
1
2018
The algebra of slice functions. Zbl 1404.30055
Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina
17
2017
Singularities of slice regular functions over real alternative \(^{\ast}\)-algebras. Zbl 1408.30045
Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina
14
2017
Noncommutative Cauchy integral formula. Zbl 1364.30057
Ghiloni, Riccardo; Perotti, Alessandro; Recupero, Vincenzo
3
2017
Graphs, spanning trees and divergence-free finite elements in domains of general topology. Zbl 1433.65274
Alonso Rodríguez, Ana; Camañno, Jessika; Ghiloni, Riccardo; Valli, Alberto
3
2017
Algebraicity of Nash sets and of their asymmetric cobordism. Zbl 1367.14020
Ghiloni, Riccardo; Tancredi, Alessandro
1
2017
Efficient construction of 2-chains with a prescribed boundary. Zbl 1385.55001
Rodríguez, Ana Alonso; Bertolazzi, Enrico; Ghiloni, Riccardo; Specogna, Ruben
1
2017
Semigroups over real alternative \(^\ast\)-algebras: generation theorems and spherical sectorial operators. Zbl 1351.30037
Ghiloni, Riccardo; Recupero, Vincenzo
22
2016
Finite element simulation of eddy current problems using magnetic scalar potentials. Zbl 1349.78060
Alonso Rodríguez, Ana; Bertolazzi, Enrico; Ghiloni, Riccardo; Valli, Alberto
4
2015
Lagrange polynomials over Clifford numbers. Zbl 1370.65009
Ghiloni, Riccardo; Perotti, Alessandro
2
2015
Spectral properties of compact normal quaternionic operators. Zbl 1314.30100
Ghiloni, Riccardo; Moretti, Valter; Perotti, Alessandro
13
2014
Power and spherical series over real alternative \(^\ast\)-algebras. Zbl 1308.30057
Ghiloni, Riccardo; Perotti, Alessandro
13
2014
Global differential equations for slice regular functions. Zbl 1294.30095
Ghiloni, Riccardo; Perotti, Alessandro
11
2014
Algebraic models of symmetric Nash sets. Zbl 1327.14237
Ghiloni, Riccardo; Tancredi, Alessandro
1
2014
On the principle of real moduli flexibility: perfect parametrizations. Zbl 1308.14061
Ballico, Edoardo; Ghiloni, Riccardo
1
2014
On the algebraic models of symmetric smooth manifolds. Zbl 1396.14051
Ghiloni, Riccardo; Tancredi, Alessandro
1
2014
Continuous slice functional calculus in quaternionic Hilbert spaces. Zbl 1291.47008
Ghiloni, Riccardo; Moretti, Valter; Perotti, Alessandro
67
2013
Construction of a finite element basis of the first de Rham cohomology group and numerical solution of 3D magnetostatic problems. Zbl 1284.78012
Rodríguez, Ana Alonso; Bertolazzi, Enrico; Ghiloni, Riccardo; Valli, Alberto
14
2013
Volume Cauchy formulas for slice functions on real associative \(^\ast\)-algebras. Zbl 1277.30038
Ghiloni, Riccardo; Perotti, Alessandro
6
2013
The principle of moduli flexibility for real algebraic manifolds. Zbl 1292.14038
Ballico, Edoardo; Ghiloni, Riccardo
2
2013
The topology of Helmholtz domains. Zbl 1276.57001
Benedetti, R.; Frigerio, R.; Ghiloni, R.
9
2012
Slice regularity in several variables. Zbl 1298.30044
Ghiloni, R.; Perotti, A.
3
2012
Slice regular functions on real alternative algebras. Zbl 1217.30044
Ghiloni, R.; Perotti, A.
79
2011
Zeros of regular functions of quaternionic and octonionic variable: a division lemma and the camshaft effect. Zbl 1246.30013
Ghiloni, R.; Perotti, A.
17
2011
A new approach to slice regularity on real algebras. Zbl 1217.30045
Ghiloni, Riccardo; Perotti, Alessandro
9
2011
Second order homological obstructions on real algebraic manifolds. Zbl 1122.14038
Ghiloni, Riccardo
6
2007
Boundary slices and the \(\mathcal P\)-Euler condition. Zbl 1118.14061
Ghiloni, Riccardo
1
2007
Rigidity and moduli space in real algebraic geometry. Zbl 1098.14045
Ghiloni, Riccardo
6
2006
On the space of morphisms into generic real algebraic varieties. Zbl 1170.14309
Ghiloni, Riccardo
5
2006
On the space of real algebraic morphisms. Zbl 1172.14341
Ghiloni, Riccardo
3
2003
Algebraic obstructions and a complete solution of a rational retraction problem. Zbl 1043.14017
Ghiloni, Riccardo
1
2002
all top 5

Cited by 135 Authors

33 Colombo, Fabrizio
29 Sabadini, Irene
25 Ghiloni, Riccardo
14 Perotti, Alessandro
13 Thirulogasanthar, Kengatharam
11 Gantner, Jonathan
11 Ren, Guangbin
10 Alpay, Daniel Aron
10 Muraleetharan, B.
9 Alonso Rodríguez, Ana
9 Altavilla, Amedeo
8 Stoppato, Caterina
7 Valli, Alberto
6 González-Cervantes, José Óscar
5 Gal, Sorin Gheorghe
5 Kucharz, Wojciech
5 Moretti, Valter
5 Xu, Zhenghua
4 Bisi, Cinzia
4 Bolotnikov, Vladimir
4 De Bie, Hendrik
4 Gentili, Graziano
4 Kimsey, David Patrick
4 Ramesh, Golla
4 Santhosh Kumar, P.
4 Sarfatti, Giulia
4 Wang, Xieping
3 Bertolazzi, Enrico
3 Cnudde, Lander
3 de Fabritiis, Chiara
3 Fashandi, Massoumeh
3 Jin, Ming
3 Oppio, Marco
3 Recupero, Vincenzo
3 Sommen, Franciscus
3 Specogna, Ruben
3 Struppa, Daniele Carlo
2 Ali, Syed Twareque
2 Benedetti, Riccardo
2 Camaño, Jessika
2 Diki, Kamal
2 Frigerio, Roberto
2 González-Campos, Daniel
2 Kähler, Uwe
2 Kraußhar, Rolf Sören
2 Ludkovsky, Sergey Victor
2 Mongodi, Samuele
2 Qian, Tao
2 Rapetti, Francesca
2 Rodríguez, Rodolfo
2 Tancredi, Alessandro
2 Tröltzsch, Fredi
2 Vlacci, Fabio
1 Altavilla, Ademeo
1 Ammar, Aymen
1 Angella, Daniele
1 Arcozzi, Nicola
1 Askari-Hemmat, Ataollah
1 Bai, Kun
1 Baird, Thomas John
1 Beirão da Veiga, Hugo
1 Benahmadi, Abdelhadi
1 Bermúdez, Alfredo
1 Bettini, Paolo
1 Bilski, Marcin
1 Boffi, Daniele
1 Bryukhov, Dmitry
1 Cassinelli, Gianni
1 Castillo Villalba, C. Marco Polo
1 Cerejeiras, Paula
1 Cheng, Dong
1 Creusé, Emmanuel
1 Cui, Xiangyang
1 De Los Santos, E.
1 Demlow, Alan
1 Dipasquale, Federico
1 Dong, Baohua
1 Dular, Patrick
1 El Hamyani, Amal
1 Ellouz, Hanen
1 Fakhfakh, Slim
1 Fernando, José F.
1 Gastaldi, Lucia
1 Ghanmi, Allal
1 Gonzàles Cervantes, Jose O.
1 González, Denis Deniz
1 Gori, Anna
1 Han, Kaikai
1 Hao, Bingjie
1 Huo, Qinghai
1 Janssens, Tim
1 Jeribi, Aref
1 Jia, Zhigang
1 Kelliher, James P.
1 Khokulan, M.
1 Kou, Kit-Ian
1 Krzyżak, Adam
1 Kurdyka, Krzysztof
1 Lahti, Pekka Johannes
1 Lee, Kok-Meng
...and 35 more Authors
all top 5

Cited in 73 Serials

17 Advances in Applied Clifford Algebras
10 Complex Analysis and Operator Theory
9 Journal of Geometry and Physics
8 Journal of Mathematical Physics
8 Transactions of the American Mathematical Society
8 Complex Variables and Elliptic Equations
6 The Journal of Geometric Analysis
5 Reviews in Mathematical Physics
5 Advances in Mathematics
4 Mathematical Methods in the Applied Sciences
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Integral Equations and Operator Theory
4 Mathematische Nachrichten
3 Journal of Computational Physics
3 Proceedings of the American Mathematical Society
3 Journal of Algebra and its Applications
2 Computers & Mathematics with Applications
2 Israel Journal of Mathematics
2 Journal of Mathematical Analysis and Applications
2 Calcolo
2 Mathematische Annalen
2 SIAM Journal on Numerical Analysis
2 Linear Algebra and its Applications
2 Indagationes Mathematicae. New Series
2 Journal of the European Mathematical Society (JEMS)
2 Advances in Geometry
2 Milan Journal of Mathematics
2 Journal of Physics A: Mathematical and Theoretical
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Concrete Operators
1 Archive for Rational Mechanics and Analysis
1 Communications in Algebra
1 Rocky Mountain Journal of Mathematics
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 Journal of Functional Analysis
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Numerische Mathematik
1 Pacific Journal of Mathematics
1 Quarterly of Applied Mathematics
1 Results in Mathematics
1 Topology and its Applications
1 Applied Numerical Mathematics
1 Optimization
1 SIAM Journal on Matrix Analysis and Applications
1 Journal of Scientific Computing
1 International Journal of Mathematics
1 Numerical Algorithms
1 Applied Mathematical Modelling
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Expositiones Mathematicae
1 The Journal of Analysis
1 Selecta Mathematica. New Series
1 Advances in Computational Mathematics
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Mathematical Physics, Analysis and Geometry
1 Revista Matemática Complutense
1 Annales Henri Poincaré
1 Foundations of Computational Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Analysis and Applications (Singapore)
1 Journal of Noncommutative Geometry
1 Banach Journal of Mathematical Analysis
1 Discrete and Continuous Dynamical Systems. Series S
1 Ars Mathematica Contemporanea
1 Mathematical Control and Related Fields
1 Palestine Journal of Mathematics
1 Quantum Studies: Mathematics and Foundations
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Proceedings of the American Mathematical Society. Series B
all top 5

Cited in 42 Fields

98 Functions of a complex variable (30-XX)
48 Operator theory (47-XX)
18 Numerical analysis (65-XX)
15 Functional analysis (46-XX)
15 Quantum theory (81-XX)
14 Algebraic geometry (14-XX)
10 Partial differential equations (35-XX)
10 Optics, electromagnetic theory (78-XX)
9 Several complex variables and analytic spaces (32-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Nonassociative rings and algebras (17-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 Number theory (11-XX)
6 Manifolds and cell complexes (57-XX)
5 Potential theory (31-XX)
5 Differential geometry (53-XX)
5 Fluid mechanics (76-XX)
4 Real functions (26-XX)
4 Special functions (33-XX)
4 Algebraic topology (55-XX)
3 Combinatorics (05-XX)
3 Approximations and expansions (41-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
2 Field theory and polynomials (12-XX)
2 Topological groups, Lie groups (22-XX)
2 Ordinary differential equations (34-XX)
2 Convex and discrete geometry (52-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Probability theory and stochastic processes (60-XX)
2 Computer science (68-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)
1 Systems theory; control (93-XX)

Citations by Year