×

zbMATH — the first resource for mathematics

Perotti, Alessandro

Compute Distance To:
Author ID: perotti.alessandro Recent zbMATH articles by "Perotti, Alessandro"
Published as: Perotti, A.; Perotti, Alessandro
Documents Indexed: 41 Publications since 1986

Publications by Year

Citations contained in zbMATH

27 Publications have been cited 254 times in 148 Documents Cited by Year
Slice regular functions on real alternative algebras. Zbl 1217.30044
Ghiloni, R.; Perotti, A.
68
2011
Continuous slice functional calculus in quaternionic Hilbert spaces. Zbl 1291.47008
Ghiloni, Riccardo; Moretti, Valter; Perotti, Alessandro
60
2013
Zeros of regular functions of quaternionic and octonionic variable: a division lemma and the camshaft effect. Zbl 1246.30013
Ghiloni, R.; Perotti, A.
16
2011
\(C^ k\)-regularity for the \({\bar \partial}\)-equation on strictly pseudoconvex domains with piecewise smooth boundaries. Zbl 0673.32019
Michel, Joachim; Perotti, Alessandro
14
1990
Spectral properties of compact normal quaternionic operators. Zbl 1314.30100
Ghiloni, Riccardo; Moretti, Valter; Perotti, Alessandro
13
2014
The algebra of slice functions. Zbl 1404.30055
Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina
12
2017
Power and spherical series over real alternative \(^\ast\)-algebras. Zbl 1308.30057
Ghiloni, Riccardo; Perotti, Alessandro
12
2014
Singularities of slice regular functions over real alternative \(^{\ast}\)-algebras. Zbl 1408.30045
Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina
10
2017
Global differential equations for slice regular functions. Zbl 1294.30095
Ghiloni, Riccardo; Perotti, Alessandro
8
2014
A new approach to slice regularity on real algebras. Zbl 1217.30045
Ghiloni, Riccardo; Perotti, Alessandro
8
2011
Spectral representations of normal operators in quaternionic Hilbert spaces via intertwining quaternionic PVMs. Zbl 06813204
Ghiloni, Riccardo; Moretti, Valter; Perotti, Alessandro
6
2017
Slice regularity in several variables. Zbl 1298.30044
Ghiloni, R.; Perotti, A.
4
2012
Fueter regularity and slice regularity: meeting points for two function theories. Zbl 1275.30025
Perotti, Alessandro
3
2013
Extension of CR-forms and related problems. Zbl 0625.32013
Perotti, Alessandro
3
1987
Noncommutative Cauchy integral formula. Zbl 1364.30057
Ghiloni, Riccardo; Perotti, Alessandro; Recupero, Vincenzo
2
2017
Lagrange polynomials over Clifford numbers. Zbl 1370.65009
Ghiloni, Riccardo; Perotti, Alessandro
2
2015
Volume Cauchy formulas for slice functions on real associative \(^\ast\)-algebras. Zbl 1277.30038
Ghiloni, Riccardo; Perotti, Alessandro
2
2013
Regular quaternionic functions and conformal mappings. Zbl 1171.30025
Perotti, Alessandro
2
2009
Division algebras of slice functions. Zbl 07220516
Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina
1
2020
The quaternionic Gauss-Lucas theorem. Zbl 1414.30051
Ghiloni, R.; Perotti, A.
1
2018
Every biregular function is a biholomorphic map. Zbl 1173.30035
Perotti, Alessandro
1
2009
Directional quaternionic Hilbert operators. Zbl 1182.30091
Perotti, Alessandro
1
2009
Quaternionic regularity and the \(\bar{\partial}\)-Neumann problem in \(\mathbb C^2\). Zbl 1118.32003
Perotti, A.
1
2007
Tangential form of the trace condition for pluriharmonic functions in \(\mathbb{C}^n\). Zbl 1036.32024
Perotti, Alessandro
1
2003
Dirichlet problem for pluriharmonic functions of several complex variables. Zbl 0942.35122
Perotti, A.
1
1999
\(\mathbf C^ k\)-regularity for the \(\bar \partial\)-equation on a piecewise smooth union of strictly pseudoconvex domains in \(\mathbb{C}^ n\). Zbl 0828.32004
Michel, Joachim; Perotti, Alessandro
1
1994
The equation \({\bar \partial}u=f\) on the intersection of pseudoconvex domains. Zbl 0666.32017
Perotti, Alessandro
1
1986
Division algebras of slice functions. Zbl 07220516
Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina
1
2020
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
12
2017
Singularities of slice regular functions over real alternative \(^{\ast}\)-algebras. Zbl 1408.30045
Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina
10
2017
Spectral representations of normal operators in quaternionic Hilbert spaces via intertwining quaternionic PVMs. Zbl 06813204
Ghiloni, Riccardo; Moretti, Valter; Perotti, Alessandro
6
2017
Noncommutative Cauchy integral formula. Zbl 1364.30057
Ghiloni, Riccardo; Perotti, Alessandro; Recupero, Vincenzo
2
2017
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
12
2014
Global differential equations for slice regular functions. Zbl 1294.30095
Ghiloni, Riccardo; Perotti, Alessandro
8
2014
Continuous slice functional calculus in quaternionic Hilbert spaces. Zbl 1291.47008
Ghiloni, Riccardo; Moretti, Valter; Perotti, Alessandro
60
2013
Fueter regularity and slice regularity: meeting points for two function theories. Zbl 1275.30025
Perotti, Alessandro
3
2013
Volume Cauchy formulas for slice functions on real associative \(^\ast\)-algebras. Zbl 1277.30038
Ghiloni, Riccardo; Perotti, Alessandro
2
2013
Slice regularity in several variables. Zbl 1298.30044
Ghiloni, R.; Perotti, A.
4
2012
Slice regular functions on real alternative algebras. Zbl 1217.30044
Ghiloni, R.; Perotti, A.
68
2011
Zeros of regular functions of quaternionic and octonionic variable: a division lemma and the camshaft effect. Zbl 1246.30013
Ghiloni, R.; Perotti, A.
16
2011
A new approach to slice regularity on real algebras. Zbl 1217.30045
Ghiloni, Riccardo; Perotti, Alessandro
8
2011
Regular quaternionic functions and conformal mappings. Zbl 1171.30025
Perotti, Alessandro
2
2009
Every biregular function is a biholomorphic map. Zbl 1173.30035
Perotti, Alessandro
1
2009
Directional quaternionic Hilbert operators. Zbl 1182.30091
Perotti, Alessandro
1
2009
Quaternionic regularity and the \(\bar{\partial}\)-Neumann problem in \(\mathbb C^2\). Zbl 1118.32003
Perotti, A.
1
2007
Tangential form of the trace condition for pluriharmonic functions in \(\mathbb{C}^n\). Zbl 1036.32024
Perotti, Alessandro
1
2003
Dirichlet problem for pluriharmonic functions of several complex variables. Zbl 0942.35122
Perotti, A.
1
1999
\(\mathbf C^ k\)-regularity for the \(\bar \partial\)-equation on a piecewise smooth union of strictly pseudoconvex domains in \(\mathbb{C}^ n\). Zbl 0828.32004
Michel, Joachim; Perotti, Alessandro
1
1994
\(C^ k\)-regularity for the \({\bar \partial}\)-equation on strictly pseudoconvex domains with piecewise smooth boundaries. Zbl 0673.32019
Michel, Joachim; Perotti, Alessandro
14
1990
Extension of CR-forms and related problems. Zbl 0625.32013
Perotti, Alessandro
3
1987
The equation \({\bar \partial}u=f\) on the intersection of pseudoconvex domains. Zbl 0666.32017
Perotti, Alessandro
1
1986
all top 5

Cited by 110 Authors

30 Colombo, Fabrizio
27 Sabadini, Irene
16 Perotti, Alessandro
14 Ghiloni, Riccardo
13 Thirulogasanthar, Kengatharam
10 Alpay, Daniel Aron
10 Muraleetharan, B.
8 Altavilla, Amedeo
8 Ren, Guangbin
7 Gantner, Jonathan
6 González-Cervantes, José Óscar
6 Stoppato, Caterina
5 Gal, Sorin Gheorghe
5 Moretti, Valter
4 Bisi, Cinzia
4 Bolotnikov, Vladimir
4 Kimsey, David Patrick
4 Ramesh, Golla
4 Santhosh Kumar, P.
4 Sarfatti, Giulia
4 Wang, Xieping
4 Xu, Zhenghua
3 Cnudde, Lander
3 De Bie, Hendrik
3 de Fabritiis, Chiara
3 Fashandi, Massoumeh
3 Forstnerič, Franc
3 Michel, Joachim
3 Oppio, Marco
3 Qian, Tao
3 Recupero, Vincenzo
3 Sommen, Franciscus
3 Struppa, Daniele Carlo
2 Abu-Ghanem, Khaled
2 Ali, Syed Twareque
2 Drnovšek, Barbara Drinovec
2 Gentili, Graziano
2 Kähler, Uwe
2 Khidr, Shaban
2 Ludkovsky, Sergey Victor
2 Mongodi, Samuele
1 Ahn, Heungju
1 Ammar, Aymen
1 Angella, Daniele
1 Arcozzi, Nicola
1 Askari-Hemmat, Ataollah
1 Barkatou, Moulay-Youssef
1 Benahmadi, Abdelhadi
1 Bryukhov, Dmitry
1 Cassinelli, Gianni
1 Castillo Villalba, C. Marco Polo
1 Cerejeiras, Paula
1 Chaumat, Jacques
1 Chen, Qiuhui
1 Cheng, Dong
1 Cho, Hong Rae
1 Chollet, Anne-Marie
1 Dong, Baohua
1 El Hamyani, Amal
1 Ellouz, Hanen
1 Fakhfakh, Slim
1 Ghanmi, Allal
1 Gong, Xianghong
1 Gonzàles Cervantes, Jose O.
1 González, Denis Deniz
1 Gori, Anna
1 Han, Kaikai
1 Janssens, Tim
1 Jeribi, Aref
1 Jin, Ming
1 Khokulan, M.
1 Kou, Kit-Ian
1 Kou, Kitian
1 Kraußhar, Rolf Sören
1 Krzyżak, Adam
1 Lahti, Pekka Johannes
1 Lewkowicz, Izchak
1 Li, Xingmin
1 Liao, Jianquan
1 Luna-Elizarrarás, María Elena
1 Lupacciolu, Guido
1 Ma, Lan
1 Mahdipour, S.
1 Misyurin, Sergeĭ Yur’evich
1 Monguzzi, Alessandro
1 Nacinovich, Mauro
1 Niknam, Assadollah
1 Pamula, Santhosh Kumar
1 Park, Jong-Do
1 Perotti, Alan
1 Peters, Klaus-Heinrich
1 Pinton, Stefano
1 Polyanskiĭ, Ivan Sergeevich
1 Radygin, Vladimir Michaĭlovich
1 Sahu, Soniya
1 Saracco, Alberto
1 Seco, Daniel
1 Shapiro, Michael V.
1 Sharma, Sumit Kumar
1 Shaw, Mei-Chi
...and 10 more Authors
all top 5

Cited in 48 Serials

15 Advances in Applied Clifford Algebras
9 Journal of Geometry and Physics
9 Transactions of the American Mathematical Society
9 Complex Variables and Elliptic Equations
9 Complex Analysis and Operator Theory
7 Journal of Mathematical Physics
7 The Journal of Geometric Analysis
5 Mathematical Methods in the Applied Sciences
5 Reviews in Mathematical Physics
5 Mathematische Nachrichten
5 Mathematische Zeitschrift
4 Advances in Mathematics
3 Journal of Mathematical Analysis and Applications
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Integral Equations and Operator Theory
3 Mathematische Annalen
3 Journal of Algebra and its Applications
2 Proceedings of the American Mathematical Society
2 Indagationes Mathematicae. New Series
2 Advances in Geometry
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Concrete Operators
1 Communications in Algebra
1 Israel Journal of Mathematics
1 Rocky Mountain Journal of Mathematics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Duke Mathematical Journal
1 Journal of Functional Analysis
1 Pacific Journal of Mathematics
1 Forum Mathematicum
1 Science in China. Series A
1 International Journal of Mathematics
1 Linear Algebra and its Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 The Journal of Analysis
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Mathematical Physics, Analysis and Geometry
1 Annales Henri Poincaré
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Milan Journal of Mathematics
1 Analysis and Applications (Singapore)
1 Journal of Physics A: Mathematical and Theoretical
1 Banach Journal of Mathematical Analysis
1 Palestine Journal of Mathematics
1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
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

Citations by Year