Edit Profile (opens in new tab) Sabadini, Irene Co-Author Distance Author ID: sabadini.irene Published as: Sabadini, Irene; Sabadini, I. Further Spellings: Sabadini, Irene Maria External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 223 Publications since 1995, including 8 Books 14 Contributions as Editor Co-Authors: 77 Co-Authors with 233 Joint Publications 1,695 Co-Co-Authors all top 5 Co-Authors 4 single-authored 142 Colombo, Fabrizio 84 Struppa, Daniele Carlo 51 Alpay, Daniel Aron 34 Sommen, Franciscus 18 Gal, Sorin Gheorghe 14 Aharonov, Yakir 13 Diki, Kamal 10 Damiano, Alberto 10 González-Cervantes, José Óscar 8 Kimsey, David Patrick 7 Gentili, Graziano 7 Shapiro, Michael V. 6 Peña Peña, Dixan 6 Pinton, Stefano 6 Qian, Tao 6 Ren, Guangbin 5 De Martino, Antonino 5 Dou, Xinyuan 5 Luna-Elizarrarás, María Elena 5 Yger, Alain 4 Kähler, Uwe 4 Lewkowicz, Izchak 4 Vâjiac, Adrian I. 4 Vajiac, Mihaela B. 3 Abu-Ghanem, Khaled 3 Aoki, Takashi 3 Cerejeiras, Paula 3 Eelbode, David 3 Kraußhar, Rolf Sören 3 Loustaunau, Philippe 3 Soucek, Vladimir 3 Tollaksen, Jeff 2 Adams, William W. 2 Berenstein, Carlos Alberto 2 Bernstein, Swanhild 2 Bolotnikov, Vladimir 2 Dong, Baohua 2 Gantner, Jonathan 2 Jin, Ming 2 Kou, Kit-Ian 2 Lávička, Roman 2 Muraleetharan, B. 2 Napoletani, Domenico 2 Thirulogasanthar, Kengatharam 1 Adán, Alí Guzmán 1 Agranovsky, Mark L. 1 Baras, John S. 1 Behrndt, Jussi 1 Bozejko, Marek 1 Buniy, Roman V. 1 Bureš, Jarolím 1 Chang, Der-Chen E. 1 Gay, Roger 1 Guido, Daniele 1 Hartshorne, Robin 1 Kuchment, Peter A. 1 Li, Baoqin 1 Notari, Roberto 1 Nussinov, Shmuel 1 Okada, Yasunori 1 Popescu, Sandu 1 Pozzi, Elodie 1 Reissig, Michael 1 Salomon, Guy 1 Saracco, Alberto 1 Sauvageot, Jean-Luc 1 Sce, Michele 1 Schlesinger, Enrico 1 Schneider, Baruch 1 Sebbar, Ahmed 1 Simsek, Yilmaz 1 Toft, Joachim 1 Van Lancker, Peter 1 Volok, Dan 1 Walnut, David F. 1 Wang, Xieping 1 Wick, Brett Duane 1 Yang, Ting all top 5 Serials 11 Complex Analysis and Operator Theory 10 Journal of Mathematical Analysis and Applications 10 The Journal of Geometric Analysis 10 Complex Variables and Elliptic Equations 8 Mathematical Methods in the Applied Sciences 8 Journal of Geometry and Physics 7 Integral Equations and Operator Theory 7 Advances in Applied Clifford Algebras 6 Journal of Mathematical Physics 6 Trends in Mathematics 5 Mathematische Nachrichten 5 Complex Variables. Theory and Application 5 Linear Algebra and its Applications 4 Israel Journal of Mathematics 4 The Journal of Fourier Analysis and Applications 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Milan Journal of Mathematics 3 Advances in Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Results in Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Bulletin of the Belgian Mathematical Society - Simon Stevin 3 Advances in Geometry 3 Moscow Mathematical Journal 3 Analysis and Applications (Singapore) 3 Journal of Physics A: Mathematical and Theoretical 3 Operator Theory: Advances and Applications 2 Indiana University Mathematics Journal 2 Journal of Functional Analysis 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 2 Transactions of the American Mathematical Society 2 Annals of Global Analysis and Geometry 2 Annals of Physics 2 Indagationes Mathematicae. New Series 2 Experimental Mathematics 2 Communications on Pure and Applied Analysis 2 Progress in Mathematics 2 Quantum Studies: Mathematics and Foundations 2 Proceedings of the American Mathematical Society. Series B 2 SpringerBriefs in Mathematics 1 Communications in Algebra 1 Discrete Applied Mathematics 1 Journal d’Analyse Mathématique 1 Arkiv för Matematik 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Le Matematiche 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Rendiconti del Seminario Matematico 1 Journal of Operator Theory 1 Advances in Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Journal of Natural Geometry 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Notices of the American Mathematical Society 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Bulletin des Sciences Mathématiques 1 RIMS Kokyuroku 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of the European Mathematical Society (JEMS) 1 Computational Methods and Function Theory 1 Mediterranean Journal of Mathematics 1 Progress in Mathematical Physics 1 Journal of Noncommutative Geometry 1 Electronic Research Announcements in Mathematical Sciences 1 Journal of Mathematical Sciences: Advances and Applications 1 Springer Proceedings in Mathematics 1 Analysis and Mathematical Physics 1 Springer INdAM Series 1 Frontiers in Mathematics all top 5 Fields 178 Functions of a complex variable (30-XX) 67 Operator theory (47-XX) 29 Several complex variables and analytic spaces (32-XX) 29 Partial differential equations (35-XX) 25 Functional analysis (46-XX) 19 Quantum theory (81-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 12 General and overarching topics; collections (00-XX) 10 Commutative algebra (13-XX) 10 Approximations and expansions (41-XX) 6 Integral transforms, operational calculus (44-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 History and biography (01-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Nonassociative rings and algebras (17-XX) 4 Algebraic geometry (14-XX) 3 Associative rings and algebras (16-XX) 3 Differential geometry (53-XX) 3 Computer science (68-XX) 3 Optics, electromagnetic theory (78-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 Abstract harmonic analysis (43-XX) 2 Probability theory and stochastic processes (60-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 187 Publications have been cited 2,660 times in 666 Documents Cited by ▼ Year ▼ Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions. Zbl 1228.47001Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele 180 2011 Analysis of Dirac systems and computational algebra. Zbl 1064.30049Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus; Struppa, Daniele C. 137 2004 Slice monogenic functions. Zbl 1172.30024Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 106 2009 Slice hyperholomorphic Schur analysis. Zbl 1366.30001Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 89 2016 Extension results for slice regular functions of a quaternionic variable. Zbl 1179.30052Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene; Struppa, Daniele 63 2009 A new functional calculus for noncommuting operators. Zbl 1143.47012Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 61 2008 Entire slice regular functions. Zbl 1372.30001Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 55 2016 On some properties of the quaternionic functional calculus. Zbl 1166.47018Colombo, Fabrizio; Sabadini, Irene 53 2009 Hermitian Clifford analysis and resolutions. Zbl 1013.30033Sabadini, Irene; Sommen, Frank 51 2002 The Fueter mapping theorem in integral form and the \(\mathcal F\)-functional calculus. Zbl 1225.47019Colombo, Fabrizio; Sabadini, Irene; Sommen, Frank 45 2010 An extension theorem for slice monogenic functions and some of its consequences. Zbl 1213.30085Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 43 2010 Schur functions and their realizations in the slice hyperholomorphic setting. Zbl 1258.47018Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 41 2012 Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions. Zbl 1281.30034Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 40 2013 The Cauchy formula with s-monogenic kernel and a functional calculus for noncommuting operators. Zbl 1202.47017Colombo, Fabrizio; Sabadini, Irene 38 2011 On the formulations of the quaternionic functional calculus. Zbl 1220.47022Colombo, Fabrizio; Sabadini, Irene 38 2010 Some mathematical properties of superoscillations. Zbl 1230.42004Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 37 2011 A structure formula for slice monogenic functions and some of its consequences. Zbl 1169.30024Colombo, Fabrizio; Sabadini, Irene 35 2009 The quaternionic evolution operator. Zbl 1220.47056Colombo, Fabrizio; Sabadini, Irene 35 2011 The mathematics of superoscillations. Zbl 1383.42002Aharonov, Yakir; Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C.; Tollaksen, Jeff 34 2017 The Fock space in the slice hyperholomorphic setting. Zbl 1314.30092Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene; Salomon, Guy 34 2014 A Cauchy kernel for slice regular functions. Zbl 1193.30069Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene 34 2010 A nonconstant coefficients differential operator associated to slice monogenic functions. Zbl 1278.30047Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 31 2013 Explicit resolutions for the complex of several Fueter operators. Zbl 1104.30033Bureš, Jarolim; Damiano, Alberto; Sabadini, Irene 31 2007 A new resolvent equation for the \(S\)-functional calculus. Zbl 1354.47016Alpay, Daniel; Colombo, Fabrizio; Gantner, Jonathan; Sabadini, Irene 30 2015 Regular functions of several quaternionic variables and the Cauchy-Fueter complex. Zbl 0966.35088Adams, W. W.; Berenstein, C. A.; Loustaunau, P.; Sabadini, I.; Struppa, D. C. 29 1999 On the Cauchy problem for the Schrödinger equation with superoscillatory initial data. Zbl 1258.35172Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 28 2013 Superoscillating sequences as solutions of generalized Schrödinger equations. Zbl 1304.30036Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 27 2015 Non commutative functional calculus: bounded operators. Zbl 1225.47018Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene; Struppa, Daniele C. 26 2010 The inverse Fueter mapping theorem. Zbl 1258.30022Colombo, Fabrizio; Sabadini, Irene; Sommen, Frank 25 2011 Self-mappings of the quaternionic unit ball: multiplier properties, the Schwarz-Pick inequality, and the Nevanlinna-Pick interpolation problem. Zbl 1318.30075Alpay, Daniel; Bolotnikov, Vladimir; Colombo, Fabrizio; Sabadini, Irene 24 2015 Complexes of Dirac operators in Clifford algebras. Zbl 1078.30045Sabadini, Irene; Struppa, Daniele C.; Sommen, Frank; Van Lancker, Peter 24 2002 The C-property for slice regular functions and applications to the Bergman space. Zbl 1277.30035Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 23 2013 The spectral theorem for unitary operators based on the \(S\)-spectrum. Zbl 1342.35189Alpay, Daniel; Colombo, Fabrizio; Kimsey, David P.; Sabadini, Irene 23 2016 Superoscillating sequences in several variables. Zbl 1345.32001Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 23 2016 Duality theorems for slice hyperholomorphic functions. Zbl 1204.30038Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 22 2010 On two approaches to the Bergman theory for slice regular functions. Zbl 1275.30020Colombo, Fabrizio; González-Cervantes, J. Oscar; Luna-Elizarrarás, Maria Elena; Sabadini, Irene; Shapiro, Michael 21 2013 Superoscillation phenomena in \(\mathrm{SO}(3)\). Zbl 1371.81196Aharonov, Y.; Colombo, F.; Nussinov, S.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 21 2012 Realizations of slice hyperholomorphic generalized contractive and positive functions. Zbl 1335.47012Alpay, Daniel; Colombo, Fabrizio; Lewkowicz, Izchak; Sabadini, Irene 21 2015 The Radon transform between monogenic and generalized slice monogenic functions. Zbl 1335.30017Colombo, F.; Lávička, R.; Sabadini, I.; Souček, V. 21 2015 Quantum harmonic oscillator with superoscillating initial datum. Zbl 1301.81054Buniy, R. V.; Colombo, F.; Sabadini, I.; Struppa, D. C. 21 2014 Continuity of some operators arising in the theory of superoscillations. Zbl 1402.81167Aoki, T.; Colombo, Fabrizio; Sabadini, Irene; Struppa, D. C. 20 2018 Continuity theorems for a class of convolution operators and applications to superoscillations. Zbl 1411.35091Aoki, T.; Colombo, F.; Sabadini, I.; Struppa, D. C. 20 2018 Krein-Langer factorization and related topics in the slice hyperholomorphic setting. Zbl 1314.47036Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 20 2014 Singularities of functions of one and several bicomplex variables. Zbl 1253.30060Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C.; Vajiac, Adrian 19 2011 Quaternionic Clifford analysis: the Hermitian setting. Zbl 1211.30057Peña-Peña, Dixan; Sabadini, Irene; Sommen, Frank 19 2007 Quaternionic de Branges spaces and characteristic operator function. Zbl 1475.47001Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 18 2020 The \(\mathcal F\)-spectrum and the \(\mathcal S \mathcal C\)-functional calculus. Zbl 1256.47006Colombo, Fabrizio; Sabadini, Irene 18 2012 A functional calculus in a noncommutative setting. Zbl 1137.47014Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene; Struppa, Daniele C. 18 2007 The \(H^{\infty}\) functional calculus based on the \(S\)-spectrum for quaternionic operators and for \(n\)-tuples of noncommuting operators. Zbl 1350.47017Alpay, Daniel; Colombo, Fabrizio; Qian, Tao; Sabadini, Irene 18 2016 Classes of superoscillating functions. Zbl 1402.81122Aharonov, Y.; Sabadini, Irene; Tollaksen, J.; Yger, A. 17 2018 Perturbation of normal quaternionic operators. Zbl 07089861Cerejeiras, Paula; Colombo, Fabrizio; Kähler, Uwe; Sabadini, Irene 17 2019 The Runge theorem for slice hyperholomorphic functions. Zbl 1220.30068Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 17 2011 On slice biregular functions and isomorphisms of Bergman spaces. Zbl 1251.30055Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 16 2012 Adaptative decomposition: the case of the Drury-Arveson space. Zbl 06829778Alpay, Daniel; Colombo, Fabrizio; Qian, Tao; Sabadini, Irene 15 2017 Perturbation of the generator of a quaternionic evolution operator. Zbl 1327.47035Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 15 2015 Adaptive orthonormal systems for matrix-valued functions. Zbl 1370.47011Alpay, Daniel; Colombo, Fabrizio; Qian, Tao; Sabadini, Irene 15 2017 Quantum violation of the pigeonhole principle and the nature of quantum correlations. Zbl 1355.81029Aharonov, Yakir; Colombo, Fabrizio; Popescu, Sandu; Sabadini, Irene; Struppa, Daniele C.; Tollaksen, Jeff 15 2016 The inverse Fueter mapping theorem in integral form using spherical monogenics. Zbl 1341.30042Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus 14 2013 Michele Sce’s works in hypercomplex analysis. A translation with commentaries. Zbl 1448.30001Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 14 2020 Segal-Bargmann-Fock modules of monogenic functions. Zbl 1377.30043Peña Peña, Dixan; Sabadini, Irene; Sommen, Franciscus 14 2017 An extension of Herglotz’s theorem to the quaternions. Zbl 1297.30073Alpay, Daniel; Colombo, Fabrizio; Kimsey, David P.; Sabadini, Irene 14 2015 Quaternionic Hermitian spinor systems and compatibility conditions. Zbl 1235.30030Damiano, Alberto; Eelbode, David; Sabadini, Irene 13 2011 Superoscillating sequences and hyperfunctions. Zbl 1439.32017Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C.; Yger, Alain 12 2019 Evolution of superoscillatory initial data in several variables in uniform electric field. Zbl 1372.78004Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 12 2017 Twisted plane wave expansions using hypercomplex methods. Zbl 1288.30051Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus; Struppa, Daniele C. 12 2014 Approximation by polynomials on quaternionic compact sets. Zbl 1348.30028Gal, S. G.; Sabadini, I. 12 2015 On slice polyanalytic functions of a quaternionic variable. Zbl 1426.30034Alpay, Daniel; Diki, Kamal; Sabadini, Irene 11 2019 Quaternionic approximation. With application to slice regular functions. Zbl 1432.30034Gal, Sorin G.; Sabadini, Irene 11 2019 On the Bargmann-Fock-Fueter and Bergman-Fueter integral transforms. Zbl 1479.30034Diki, Kamal; Krausshar, Rolf Sören; Sabadini, Irene 11 2019 Algebraic properties of the module of slice regular functions in several quaternionic variables. Zbl 1273.30038Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 11 2012 On some operators associated to superoscillations. Zbl 1297.47095Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 11 2013 Non-commutative functional calculus: unbounded operators. Zbl 1197.47030Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene; Struppa, Daniele C. 11 2010 The Dirac complex on abstract vector variables: megaforms. Zbl 1078.30044Sabadini, Irene; Sommen, Frank; Struppa, Daniele C. 10 2003 Algebraic analysis of Hermitian monogenic functions. Zbl 1135.30022Damiano, Alberto; Eelbode, David; Sabadini, Irene 10 2008 Further properties of the Bergman spaces of slice regular functions. Zbl 1332.30073Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 10 2015 Evolution of superoscillatory data. Zbl 1290.32005Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 10 2014 Inner product spaces and Krein spaces in the quaternionic setting. Zbl 1376.46017Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 10 2015 Evolution of superoscillations in the Klein-Gordon field. Zbl 1442.81023Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 9 2020 A representation of Weyl-Heisenberg Lie algebra in the quaternionic setting. Zbl 1372.81093Muraleetharan, B.; Thirulogasanthar, K.; Sabadini, Irene 9 2017 On Bernstein and Erdős-Lax’s inequalities for quaternionic polynomials. (Sur les inégalités de Bernstein et de Erdős-Las pour les polynômes.) Zbl 1306.30020Gal, Sorin G.; Sabadini, Irene 9 2015 On some geometric properties of slice regular functions of a quaternion variable. Zbl 1325.30046Gal, Sorin G.; González-Cervantes, J. Oscar; Sabadini, Irene 9 2015 The \(F\)-functional calculus for unbounded operators. Zbl 1440.47010Colombo, Fabrizio; Sabadini, Irene 9 2014 Bicomplex holomorphic functional calculus. Zbl 1295.30112Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 9 2014 Slice Dirac operator over octonions. Zbl 1479.30038Jin, Ming; Ren, Guangbin; Sabadini, Irene 9 2020 Computational methods for the construction of a class of noetherian operators. Zbl 1136.13014Damiano, Alberto; Sabadini, Irene; Struppa, Daniele C. 8 2007 On the Szegő-Radon projection of monogenic functions. Zbl 1338.44003Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus 8 2016 On superoscillations longevity: a windowed Fourier transform approach. Zbl 1282.81066Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 7 2014 Some remarks on the \(\mathcal S\)-spectrum. Zbl 1277.47007Colombo, Fabrizio; Sabadini, Irene 7 2013 Interpolation problems for certain classes of slice hyperholomorphic functions. Zbl 1353.30049Alpay, Daniel; Bolotnikov, Vladimir; Colombo, Fabrizio; Sabadini, Irene 7 2016 Gleason’s problem and Schur multipliers in the multivariable quaternionic setting. Zbl 1307.30087Abu-Ghanem, Khaled; Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 7 2015 On the inversion of Fueter’s theorem. Zbl 1348.30027Dong, Baohua; Kou, Kit Ian; Qian, Tao; Sabadini, Irene 7 2016 Bicomplex hyperfunctions. Zbl 1226.30044Colombo, F.; Sabadini, I.; Struppa, D. C.; Vajiac, A.; Vajiac, M. 7 2011 The Bergman-Sce transform for slice monogenic functions. Zbl 1253.30078Colombo, Fabrizio; Gonzàles Cervantes, Jose O.; Sabadini, Irene 7 2011 The Pompeiu formula for slice hyperholomorphic functions. Zbl 1246.30079Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 7 2011 How superoscillating tunneling waves can overcome the step potential. Zbl 1433.35322Aharonov, Y.; Colombo, Fabrizio; Sabadini, Irene; Struppa, D. C.; Tollaksen, J. 6 2020 An overview on functional calculus in different settings. Zbl 1221.47027Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene; Struppa, Daniele C. 6 2009 A quaternionic treatment of the inhomogeneous div-rot system. Zbl 1255.47049Colombo, F.; Luna-Elizarrarás, M. E.; Sabadini, I.; Shapiro, M.; Struppa, D. C. 6 2012 Slice monogenic functions of a Clifford variable via the \(S\)-functional calculus. Zbl 1493.47014Colombo, Fabrizio; Kimsey, David P.; Pinton, Stefano; Sabadini, Irene 6 2021 On the Bargmann-Radon transform in the monogenic setting. Zbl 1376.30036Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus 6 2017 Quaternionic hyperfunctions on five-dimensional varieties in \(\mathbb H^2\). Zbl 1135.30021Colombo, Fabrizio; Damiano, Alberto; Sabadini, Irene; Struppa, Daniele C. 6 2007 Axially harmonic functions and the harmonic functional calculus on the \(S\)-spectrum. Zbl 07610105Colombo, Fabrizio; De Martino, Antonino; Pinton, Stefano; Sabadini, Irene 3 2023 Towards a general \(\mathcal{F}\)-resolvent equation and Riesz projectors. Zbl 1518.30017Colombo, Fabrizio; De Martino, Antonino; Sabadini, Irene 2 2023 The \(\mathcal{F}\)-resolvent equation and Riesz projectors for the \(\mathcal{F}\)-functional calculus. Zbl 07649355Colombo, Fabrizio; De Martino, Antonino; Sabadini, Irene 2 2023 The fine structure of the spectral theory on the \(S\)-spectrum in dimension five. Zbl 07722184Colombo, Fabrizio; De Martino, Antonino; Pinton, Stefano; Sabadini, Irene 1 2023 Hörmander’s \(L^2\)-method, \(\overline{\partial}\)-problem and polyanalytic function theory in one complex variable. Zbl 1515.30106Alpay, Daniel; Colombo, Fabrizio; Diki, Kamal; Sabadini, Irene; Struppa, Daniele C. 1 2023 Superoscillating sequences and supershifts for families of generalized functions. Zbl 1485.42004Colombo, F.; Sabadini, I.; Struppa, D. C.; Yger, A. 5 2022 Poly slice monogenic functions, Cauchy formulas and the \(PS\)-functional calculus. Zbl 07734185Alpay, Daniel; Colombo, Fabrizio; Diki, Kamal; Sabadini, Irene 2 2022 Universality property of the \(S\)-functional calculus, noncommuting matrix variables and Clifford operators. Zbl 1512.47026Colombo, Fabrizio; Gantner, Jonathan; Kimsey, David P.; Sabadini, Irene 1 2022 Discrete analytic functions, structured matrices and a new family of moment problems. Zbl 1502.30136Alpay, Daniel; Colombo, Fabrizio; Diki, Kamal; Sabadini, Irene; Volok, Dan 1 2022 The Poisson kernel and the Fourier transform of the slice monogenic Cauchy kernels. Zbl 1486.30133Colombo, Fabrizio; De Martino, Antonino; Qian, Tao; Sabadini, Irene 1 2022 Slice monogenic functions of a Clifford variable via the \(S\)-functional calculus. Zbl 1493.47014Colombo, Fabrizio; Kimsey, David P.; Pinton, Stefano; Sabadini, Irene 6 2021 Gauss sums, superoscillations and the Talbot carpet. Zbl 1460.35092Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C.; Yger, Alain 6 2021 Superoscillations and analytic extension in Schur analysis. Zbl 1462.30050Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 5 2021 On the global operator and Fueter mapping theorem for slice polyanalytic functions. Zbl 1482.30116Alpay, Daniel; Diki, Kamal; Sabadini, Irene 4 2021 Correction to: “On slice polyanalytic functions of a quaternionic variable”. Zbl 1465.30009Alpay, Daniel; Diki, Kamal; Sabadini, Irene 3 2021 On a polyanalytic approach to noncommutative de Branges-Rovnyak spaces and Schur analysis. Zbl 1475.30111Alpay, Daniel; Colombo, Fabrizio; Diki, Kamal; Sabadini, Irene 3 2021 Holomorphic functions, relativistic sum, Blaschke products and superoscillations. Zbl 07417889Alpay, Daniel; Colombo, Fabrizio; Pinton, Stefano; Sabadini, Irene 2 2021 A new approach to slice analysis via slice topology. Zbl 1482.30118Dou, Xinyuan; Jin, Ming; Ren, Guangbin; Sabadini, Irene 2 2021 Weak slice regular functions on the \(n\)-dimensional quadratic cone of octonions. Zbl 1482.30119Dou, Xinyuan; Ren, Guangbin; Sabadini, Irene; Yang, Ting 1 2021 Infinite-order differential operators acting on entire hyperholomorphic functions. Zbl 1484.30050Alpay, D.; Colombo, F.; Pinton, S.; Sabadini, I.; Struppa, D. C. 1 2021 Quaternionic de Branges spaces and characteristic operator function. Zbl 1475.47001Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 18 2020 Michele Sce’s works in hypercomplex analysis. A translation with commentaries. Zbl 1448.30001Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 14 2020 Evolution of superoscillations in the Klein-Gordon field. Zbl 1442.81023Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 9 2020 Slice Dirac operator over octonions. Zbl 1479.30038Jin, Ming; Ren, Guangbin; Sabadini, Irene 9 2020 How superoscillating tunneling waves can overcome the step potential. Zbl 1433.35322Aharonov, Y.; Colombo, Fabrizio; Sabadini, Irene; Struppa, D. C.; Tollaksen, J. 6 2020 Symmetries of slice monogenic functions. Zbl 1468.30083Colombo, Fabrizio; Kraußhar, Rolf Sören; Sabadini, Irene 6 2020 Realizations of holomorphic and slice hyperholomorphic functions: the Krein space case. Zbl 1462.47010Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 3 2020 Polynomial approximation in quaternionic Bloch and Besov spaces. Zbl 1455.30039Gal, Sorin G.; Sabadini, Irene 1 2020 Perturbation of normal quaternionic operators. Zbl 07089861Cerejeiras, Paula; Colombo, Fabrizio; Kähler, Uwe; Sabadini, Irene 17 2019 Superoscillating sequences and hyperfunctions. Zbl 1439.32017Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C.; Yger, Alain 12 2019 On slice polyanalytic functions of a quaternionic variable. Zbl 1426.30034Alpay, Daniel; Diki, Kamal; Sabadini, Irene 11 2019 Quaternionic approximation. With application to slice regular functions. Zbl 1432.30034Gal, Sorin G.; Sabadini, Irene 11 2019 On the Bargmann-Fock-Fueter and Bergman-Fueter integral transforms. Zbl 1479.30034Diki, Kamal; Krausshar, Rolf Sören; Sabadini, Irene 11 2019 The inverse Fueter mapping theorem for axially monogenic functions of degree \(k\). Zbl 1414.30050Dong, Baohua; Kou, Kit Ian; Qian, Tao; Sabadini, Irene 5 2019 Polynomial approximation in slice regular Fock spaces. Zbl 1445.30024Diki, Kamal; Gal, Sorin G.; Sabadini, Irene 5 2019 The Fock space as a de Branges-Rovnyak space. Zbl 1443.46017Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 4 2019 Radon-type transforms for holomorphic functions in the Lie ball. Zbl 1421.30065Sabadini, Irene; Sommen, Franciscus 4 2019 Positive and generalized positive real lemma for slice hyperholomorphic functions. Zbl 1417.30042Alpay, Daniel; Colombo, Fabrizio; Lewkowicz, Izchak; Sabadini, Irene 1 2019 On the Turán inequality for quaternionic polynomials. Zbl 1427.30075Gal, Sorin G.; Sabadini, Irene 1 2019 Continuity of some operators arising in the theory of superoscillations. Zbl 1402.81167Aoki, T.; Colombo, Fabrizio; Sabadini, Irene; Struppa, D. C. 20 2018 Continuity theorems for a class of convolution operators and applications to superoscillations. Zbl 1411.35091Aoki, T.; Colombo, F.; Sabadini, I.; Struppa, D. C. 20 2018 Classes of superoscillating functions. Zbl 1402.81122Aharonov, Y.; Sabadini, Irene; Tollaksen, J.; Yger, A. 17 2018 S-spectrum and the quaternionic Cayley transform of an operator. Zbl 1390.81244Muraleetharan, B.; Sabadini, I.; Thirulogasanthar, K. 4 2018 Herglotz functions of several quaternionic variables. Zbl 1393.30037Abu-Ghanem, Khaled; Alpay, Daniel; Colombo, Fabrizio; Lewkowicz, Izchak; Sabadini, Irene 4 2018 Approximation by polynomials in Bergman spaces of slice regular functions in the unit ball. Zbl 1388.30072Gal, S. G.; Sabadini, I. 2 2018 The mathematics of superoscillations. Zbl 1383.42002Aharonov, Yakir; Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C.; Tollaksen, Jeff 34 2017 Adaptative decomposition: the case of the Drury-Arveson space. Zbl 06829778Alpay, Daniel; Colombo, Fabrizio; Qian, Tao; Sabadini, Irene 15 2017 Adaptive orthonormal systems for matrix-valued functions. Zbl 1370.47011Alpay, Daniel; Colombo, Fabrizio; Qian, Tao; Sabadini, Irene 15 2017 Segal-Bargmann-Fock modules of monogenic functions. Zbl 1377.30043Peña Peña, Dixan; Sabadini, Irene; Sommen, Franciscus 14 2017 Evolution of superoscillatory initial data in several variables in uniform electric field. Zbl 1372.78004Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 12 2017 A representation of Weyl-Heisenberg Lie algebra in the quaternionic setting. Zbl 1372.81093Muraleetharan, B.; Thirulogasanthar, K.; Sabadini, Irene 9 2017 On the Bargmann-Radon transform in the monogenic setting. Zbl 1376.30036Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus 6 2017 On some splitting properties of slice regular functions. Zbl 1375.30073González-Cervantes, J. Oscar; Sabadini, Irene 5 2017 Carleson measures for Hardy and Bergman spaces in the quaternionic unit ball. Zbl 1375.30078Sabadini, Irene; Saracco, Alberto 4 2017 Fueter’s theorem for monogenic functions in biaxial symmetric domains. Zbl 1383.30016Peña Peña, Dixan; Sabadini, Irene; Sommen, Franciscus 4 2017 On a class of quaternionic positive definite functions and their derivatives. Zbl 1361.60026Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 4 2017 Beurling-Lax type theorems in the complex and quaternionic setting. Zbl 1368.47008Alpay, Daniel; Sabadini, Irene 4 2017 Bernstein-type inequalities for bicomplex polynomials. Zbl 1388.30078Sabadini, I.; Vajiac, A.; Vajiac, M. B. 2 2017 On two-sided monogenic functions of axial type. Zbl 1376.30038Peña, Dixan Peña; Sabadini, Irene; Sommen, Frank 2 2017 Slice hyperholomorphic Schur analysis. Zbl 1366.30001Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 89 2016 Entire slice regular functions. Zbl 1372.30001Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 55 2016 The spectral theorem for unitary operators based on the \(S\)-spectrum. Zbl 1342.35189Alpay, Daniel; Colombo, Fabrizio; Kimsey, David P.; Sabadini, Irene 23 2016 Superoscillating sequences in several variables. Zbl 1345.32001Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 23 2016 The \(H^{\infty}\) functional calculus based on the \(S\)-spectrum for quaternionic operators and for \(n\)-tuples of noncommuting operators. Zbl 1350.47017Alpay, Daniel; Colombo, Fabrizio; Qian, Tao; Sabadini, Irene 18 2016 Quantum violation of the pigeonhole principle and the nature of quantum correlations. Zbl 1355.81029Aharonov, Yakir; Colombo, Fabrizio; Popescu, Sandu; Sabadini, Irene; Struppa, Daniele C.; Tollaksen, Jeff 15 2016 On the Szegő-Radon projection of monogenic functions. Zbl 1338.44003Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus 8 2016 Interpolation problems for certain classes of slice hyperholomorphic functions. Zbl 1353.30049Alpay, Daniel; Bolotnikov, Vladimir; Colombo, Fabrizio; Sabadini, Irene 7 2016 On the inversion of Fueter’s theorem. Zbl 1348.30027Dong, Baohua; Kou, Kit Ian; Qian, Tao; Sabadini, Irene 7 2016 A Fourier-Borel transform for monogenic functionals. Zbl 1406.30018Sabadini, Irene; Sommen, Franciscus 4 2016 Quaternion-valued positive definite functions on locally compact abelian groups and nuclear spaces. Zbl 1410.47008Alpay, Daniel; Colombo, Fabrizio; Kimsey, David P.; Sabadini, Irene 3 2016 Wiener algebra for the quaternions. Zbl 1377.46034Alpay, Daniel; Colombo, Fabrizio; Kimsey, David P.; Sabadini, Irene 3 2016 Differential forms and Clifford analysis. Zbl 1388.30079Sabadini, Irene; Sommen, Franciscus 1 2016 Monogenic plane waves and the \(W\)-functional calculus. Zbl 1350.30068Colombo, Fabrizio; Lávička, Roman; Sabadini, Irene; Souček, Vladimír 1 2016 Modern trends in hypercomplex analysis. Selected papers presented at the session on Clifford and quaternionic analysis at the 10th international ISAAC congress, University of Macau, China, August 3–8, 2015. Zbl 1359.30003 1 2016 An introduction to superoscillatory sequences. Zbl 1372.32005Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 1 2016 A new resolvent equation for the \(S\)-functional calculus. Zbl 1354.47016Alpay, Daniel; Colombo, Fabrizio; Gantner, Jonathan; Sabadini, Irene 30 2015 Superoscillating sequences as solutions of generalized Schrödinger equations. Zbl 1304.30036Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 27 2015 Self-mappings of the quaternionic unit ball: multiplier properties, the Schwarz-Pick inequality, and the Nevanlinna-Pick interpolation problem. Zbl 1318.30075Alpay, Daniel; Bolotnikov, Vladimir; Colombo, Fabrizio; Sabadini, Irene 24 2015 Realizations of slice hyperholomorphic generalized contractive and positive functions. Zbl 1335.47012Alpay, Daniel; Colombo, Fabrizio; Lewkowicz, Izchak; Sabadini, Irene 21 2015 The Radon transform between monogenic and generalized slice monogenic functions. Zbl 1335.30017Colombo, F.; Lávička, R.; Sabadini, I.; Souček, V. 21 2015 Perturbation of the generator of a quaternionic evolution operator. Zbl 1327.47035Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 15 2015 An extension of Herglotz’s theorem to the quaternions. Zbl 1297.30073Alpay, Daniel; Colombo, Fabrizio; Kimsey, David P.; Sabadini, Irene 14 2015 Approximation by polynomials on quaternionic compact sets. Zbl 1348.30028Gal, S. G.; Sabadini, I. 12 2015 Further properties of the Bergman spaces of slice regular functions. Zbl 1332.30073Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 10 2015 Inner product spaces and Krein spaces in the quaternionic setting. Zbl 1376.46017Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 10 2015 On Bernstein and Erdős-Lax’s inequalities for quaternionic polynomials. (Sur les inégalités de Bernstein et de Erdős-Las pour les polynômes.) Zbl 1306.30020Gal, Sorin G.; Sabadini, Irene 9 2015 On some geometric properties of slice regular functions of a quaternion variable. Zbl 1325.30046Gal, Sorin G.; González-Cervantes, J. Oscar; Sabadini, Irene 9 2015 Gleason’s problem and Schur multipliers in the multivariable quaternionic setting. Zbl 1307.30087Abu-Ghanem, Khaled; Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 7 2015 Univalence results for slice regular functions of a quaternion variable. Zbl 1325.30045Gal, Sorin G.; González-Cervantes, J. Oscar; Sabadini, Irene 6 2015 Boundary interpolation for slice hyperholomorphic Schur functions. Zbl 1317.30047Abu-Ghanem, Khaled; Alpay, Daniel; Colombo, Fabrizio; Kimsey, David P.; Sabadini, Irene 5 2015 Arakelian’s approximation theorem of Runge type in the hypercomplex setting. Zbl 1311.30032Gal, Sorin G.; Sabadini, Irene 2 2015 Hermitian Clifford analysis. Zbl 1330.30006Sabadini, Irene; Sommen, Frank 2 2015 Schur analysis in the quaternionic setting: the Fueter regular and the slice regular case. Zbl 1337.47015Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 2 2015 Universality properties of the quaternionic power series and entire functions. Zbl 1318.30081Gal, Sorin G.; Sabadini, Irene 1 2015 Slice hyperholomorphic functional calculi. Zbl 1334.47018Colombo, Fabrizio; Sabadini, Irene 1 2015 The Fock space in the slice hyperholomorphic setting. Zbl 1314.30092Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene; Salomon, Guy 34 2014 Quantum harmonic oscillator with superoscillating initial datum. Zbl 1301.81054Buniy, R. V.; Colombo, F.; Sabadini, I.; Struppa, D. C. 21 2014 Krein-Langer factorization and related topics in the slice hyperholomorphic setting. Zbl 1314.47036Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 20 2014 Twisted plane wave expansions using hypercomplex methods. Zbl 1288.30051Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus; Struppa, Daniele C. 12 2014 Evolution of superoscillatory data. Zbl 1290.32005Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 10 2014 ...and 87 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 438 Authors 147 Sabadini, Irene 127 Colombo, Fabrizio 61 Struppa, Daniele Carlo 60 Sommen, Franciscus 52 Alpay, Daniel Aron 36 De Schepper, Hennie 35 Brackx, Fred F. 30 Ren, Guangbin 25 Qian, Tao 22 Bory Reyes, Juan 22 Gentili, Graziano 20 Soucek, Vladimir 19 Ghiloni, Riccardo 19 Perotti, Alessandro 18 Abreu-Blaya, Ricardo 18 González-Cervantes, José Óscar 17 Eelbode, David 17 Wang, Wei 16 Diki, Kamal 15 Aharonov, Yakir 15 Gantner, Jonathan 15 Lávička, Roman 15 Stoppato, Caterina 14 Gal, Sorin Gheorghe 14 Peña Peña, Dixan 13 De Martino, Antonino 13 Pinton, Stefano 13 Thirulogasanthar, Kengatharam 12 Kimsey, David Patrick 12 Muraleetharan, B. 11 De Bie, Hendrik 10 Damiano, Alberto 10 Xu, Zhenghua 9 Adán, Alí Guzmán 9 Altavilla, Amedeo 9 Kraußhar, Rolf Sören 9 Vajiac, Mihaela B. 8 Berry, Michael Victor 8 Bisi, Cinzia 8 Kähler, Uwe 8 Luna-Elizarrarás, María Elena 8 Vâjiac, Adrian I. 7 Bolotnikov, Vladimir 7 Ku, Min 7 Shapiro, Michael V. 7 Wang, Haiyan 7 Wang, Xieping 6 Ghanmi, Allal 6 He, Fuli 6 Lewkowicz, Izchak 6 Vlacci, Fabio 5 Bernstein, Swanhild 5 Dou, Xinyuan 5 Jin, Ming 5 Kumar, Romesh 5 Kumar, Sanjay 5 Liang, Yuxia 5 Mai, Weixiong 5 Salač, Tomáš 5 Yger, Alain 4 Aoki, Takashi 4 Behrndt, Jussi 4 Cohen, Eliahu 4 de Fabritiis, Chiara 4 De Knock, Bram 4 González-Campos, Daniel 4 Moretti, Valter 4 Paiva, Ismael L. 4 Recupero, Vincenzo 4 Sarfatti, Giulia 4 Schlosser, Peter 4 Shi, Yun 4 Tan, Lihui 3 Abu-Ghanem, Khaled 3 Ammar, Aymen 3 Bureš, Jarolím 3 Cerejeiras, Paula 3 Chen, Justin 3 Chen, Lin 3 Cid-Ruiz, Yairon 3 Cnudde, Lander 3 Dong, Baohua 3 Elitzur, Avshalom C. 3 Greco, Silvio 3 Härkönen, Marc 3 Hu, Ren 3 Huo, Qinghai 3 Jeribi, Aref 3 Kang, Qianqian 3 Loustaunau, Philippe 3 Manzoor, Khalid 3 Markina, Irina 3 Mir, Abdullah 3 Mongodi, Samuele 3 Moreno García, Tania 3 Mourão, José M. 3 Nagel, Uwe 3 Nunes, João Pedro Vidal 3 Palamodov, Victor Pavlovitch 3 Pérez-de La Rosa, Marco Antonio ...and 338 more Authors all top 5 Cited in 139 Serials 75 Advances in Applied Clifford Algebras 61 Complex Analysis and Operator Theory 37 Complex Variables and Elliptic Equations 29 Journal of Mathematical Analysis and Applications 25 Journal of Geometry and Physics 24 The Journal of Geometric Analysis 20 Journal of Mathematical Physics 17 Mathematical Methods in the Applied Sciences 15 Annali di Matematica Pura ed Applicata. 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