Edit Profile (opens in new tab) Colombo, Fabrizio Compute Distance To: Compute Author ID: colombo.fabrizio Published as: Colombo, Fabrizio; Colombo, F. Homepage: http://cvgmt.sns.it/person/121/ External Links: ORCID · Google Scholar · dblp · GND Documents Indexed: 196 Publications since 1996, including 9 Books 3 Contributions as Editor Co-Authors: 56 Co-Authors with 185 Joint Publications 987 Co-Co-Authors all top 5 Co-Authors 14 single-authored 127 Sabadini, Irene 60 Struppa, Daniele Carlo 41 Alpay, Daniel Aron 16 Aharonov, Yakir 16 Gantner, Jonathan 12 Guidetti, Davide 12 Kimsey, David Patrick 11 Sommen, Franciscus 8 González-Cervantes, José Óscar 8 Lorenzi, Alfredo 8 Pinton, Stefano 8 Vespri, Vincenzo Riccardo 6 Gentili, Graziano 4 Damiano, Alberto 4 Lewkowicz, Izchak 4 Luna-Elizarrarás, María Elena 4 Qian, Tao 4 Shapiro, Michael V. 4 Yger, Alain 3 Abu-Ghanem, Khaled 3 Behrndt, Jussi 3 Schlosser, Peter 3 Soucek, Vladimir 3 Vâjiac, Adrian I. 3 Vajiac, Mihaela B. 2 Aoki, Takashi 2 Bolotnikov, Vladimir 2 Cavaterra, Cecilia 2 Cerejeiras, Paula 2 Giuli, Massimiliano 2 González, Denis Deniz 2 Janssens, Tim 2 Kähler, Uwe 2 Lávička, Roman 2 Mongodi, Samuele 2 Peloso, Marco Maria 2 Peña Peña, Dixan 2 Tollaksen, Jeff 1 Bozejko, Marek 1 Buniy, Roman V. 1 Castillo Villalba, C. Marco Polo 1 De Martino, Antonino 1 Diki, Kamal 1 Favini, Angelo 1 Guido, Daniele 1 Kraußhar, Rolf Sören 1 Loustaunau, Philippe 1 Monte, Roberto 1 Nussinov, Shmuel 1 Obrecht, Enrico 1 Popescu, Sandu 1 Salomon, Guy 1 Sauvageot, Jean-Luc 1 Sce, Michele 1 Schneider, Baruch 1 Tomarelli, Franco 1 Valente, Giovanni all top 5 Serials 11 Journal of Mathematical Analysis and Applications 9 Journal of Geometry and Physics 8 Mathematical Methods in the Applied Sciences 7 Complex Analysis and Operator Theory 6 Integral Equations and Operator Theory 5 The Journal of Geometric Analysis 5 Milan Journal of Mathematics 4 Journal of Mathematical Physics 4 Mathematische Nachrichten 4 Linear Algebra and its Applications 4 Journal of Inverse and Ill-Posed Problems 4 The Journal of Fourier Analysis and Applications 4 Complex Variables and Elliptic Equations 4 Journal of Physics A: Mathematical and Theoretical 4 Operator Theory: Advances and Applications 3 Israel Journal of Mathematics 3 Transactions of the American Mathematical Society 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Communications on Pure and Applied Analysis 3 Quantum Studies: Mathematics and Foundations 2 Inverse Problems 2 Advances in Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Indiana University Mathematics Journal 2 Journal of Functional Analysis 2 Proceedings of the American Mathematical Society 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Differential and Integral Equations 2 Dynamic Systems and Applications 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Advances in Applied Clifford Algebras 2 Advances in Differential Equations 2 Advances in Geometry 2 Journal of Evolution Equations 2 Moscow Mathematical Journal 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Analysis and Applications (Singapore) 2 Analysis and Mathematical Physics 2 SpringerBriefs in Mathematics 1 Houston Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Nonlinearity 1 Arkiv för Matematik 1 Applied Mathematics and Computation 1 Journal of Differential Equations 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Semigroup Forum 1 Advances in Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Complex Variables. Theory and Application 1 Annals of Global Analysis and Geometry 1 Physica D 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Annals of Physics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Indagationes Mathematicae. New Series 1 Advances in Mathematical Sciences and Applications 1 Communications on Applied Nonlinear Analysis 1 Communications in Applied Analysis 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura 1 Mediterranean Journal of Mathematics 1 Foundations of Physics 1 Progress in Mathematics 1 Progress in Mathematical Physics 1 Journal of Noncommutative Geometry 1 Electronic Research Announcements in Mathematical Sciences 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Journal of Mathematical Sciences: Advances and Applications 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Proceedings of the American Mathematical Society. Series B 1 Trends in Mathematics all top 5 Fields 106 Functions of a complex variable (30-XX) 85 Operator theory (47-XX) 41 Partial differential equations (35-XX) 32 Integral equations (45-XX) 20 Quantum theory (81-XX) 18 Several complex variables and analytic spaces (32-XX) 18 Functional analysis (46-XX) 17 Classical thermodynamics, heat transfer (80-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 8 Probability theory and stochastic processes (60-XX) 7 Commutative algebra (13-XX) 6 Real functions (26-XX) 5 Mechanics of deformable solids (74-XX) 4 Optics, electromagnetic theory (78-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Ordinary differential equations (34-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Systems theory; control (93-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 159 Publications have been cited 2,162 times in 516 Documents Cited by ▼ Year ▼ Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions. Zbl 1228.47001Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele 138 2011 Analysis of Dirac systems and computational algebra. Zbl 1064.30049Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus; Struppa, Daniele C. 112 2004 Slice monogenic functions. Zbl 1172.30024Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 84 2009 Slice hyperholomorphic Schur analysis. Zbl 1366.30001Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 62 2016 Extension results for slice regular functions of a quaternionic variable. Zbl 1179.30052Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene; Struppa, Daniele 51 2009 A new functional calculus for noncommuting operators. Zbl 1143.47012Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 47 2008 On some properties of the quaternionic functional calculus. Zbl 1166.47018Colombo, Fabrizio; Sabadini, Irene 44 2009 The spectral theorem for quaternionic unbounded normal operators based on the \(S\)-spectrum. Zbl 1357.47022Alpay, Daniel; Colombo, Fabrizio; Kimsey, David P. 40 2016 An extension theorem for slice monogenic functions and some of its consequences. Zbl 1213.30085Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 39 2010 Schur functions and their realizations in the slice hyperholomorphic setting. Zbl 1258.47018Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 39 2012 Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions. Zbl 1281.30034Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 38 2013 Entire slice regular functions. Zbl 1372.30001Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 37 2016 The Fueter mapping theorem in integral form and the \(\mathcal F\)-functional calculus. Zbl 1225.47019Colombo, Fabrizio; Sabadini, Irene; Sommen, Frank 35 2010 The Cauchy formula with s-monogenic kernel and a functional calculus for noncommuting operators. Zbl 1202.47017Colombo, Fabrizio; Sabadini, Irene 34 2011 On the formulations of the quaternionic functional calculus. Zbl 1220.47022Colombo, Fabrizio; Sabadini, Irene 32 2010 The quaternionic evolution operator. Zbl 1220.47056Colombo, Fabrizio; Sabadini, Irene 31 2011 Some mathematical properties of superoscillations. Zbl 1230.42004Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 31 2011 A structure formula for slice monogenic functions and some of its consequences. Zbl 1169.30024Colombo, Fabrizio; Sabadini, Irene 29 2009 A Cauchy kernel for slice regular functions. Zbl 1193.30069Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene 29 2010 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. 27 2013 A nonconstant coefficients differential operator associated to slice monogenic functions. Zbl 1278.30047Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 26 2013 Invariant resolutions for several Fueter operators. Zbl 1103.30031Colombo, Fabrizio; Souček, Vladimir; Struppa, Daniele C. 25 2006 A global in time existence and uniqueness result for a semilinear integrodifferential parabolic inverse problem in Sobolev spaces. Zbl 1125.45011Colombo, Fabrizio; Guidetti, Davide 25 2007 Superoscillating sequences as solutions of generalized Schrödinger equations. Zbl 1304.30036Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 25 2015 The Fock space in the slice hyperholomorphic setting. Zbl 1314.30092Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene; Salomon, Guy 24 2014 The mathematics of superoscillations. Zbl 1383.42002Aharonov, Yakir; Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C.; Tollaksen, Jeff 24 2017 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 23 2015 A new resolvent equation for the \(S\)-functional calculus. Zbl 1354.47016Alpay, Daniel; Colombo, Fabrizio; Gantner, Jonathan; Sabadini, Irene 23 2015 The inverse Fueter mapping theorem. Zbl 1258.30022Colombo, Fabrizio; Sabadini, Irene; Sommen, Frank 23 2011 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 Superoscillating sequences in several variables. Zbl 1345.32001Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 20 2016 Quantum harmonic oscillator with superoscillating initial datum. Zbl 1301.81054Buniy, R. V.; Colombo, F.; Sabadini, I.; Struppa, D. C. 20 2014 Duality theorems for slice hyperholomorphic functions. Zbl 1204.30038Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 20 2010 The C-property for slice regular functions and applications to the Bergman space. Zbl 1277.30035Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 20 2013 Non commutative functional calculus: bounded operators. Zbl 1225.47018Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene; Struppa, Daniele C. 20 2010 Spectral theory on the S-spectrum for quaternionic operators. Zbl 1422.47002Colombo, Fabrizio; Gantner, Jonathan; Kimsey, David P. 20 2018 The spectral theorem for unitary operators based on the \(S\)-spectrum. Zbl 1342.35189Alpay, Daniel; Colombo, Fabrizio; Kimsey, David P.; Sabadini, Irene 19 2016 Identification of time and space dependent relaxation kernels for materials with memory related to cylindrical domains. I. Zbl 0892.45006Colombo, F.; Lorenzi, A. 18 1997 Krein-Langer factorization and related topics in the slice hyperholomorphic setting. Zbl 1314.47036Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 18 2014 Continuity of some operators arising in the theory of superoscillations. Zbl 1402.81167Aoki, T.; Colombo, Fabrizio; Sabadini, Irene; Struppa, D. C. 18 2018 Quaternionic closed operators, fractional powers and fractional diffusion processes. Zbl 1458.47001Colombo, Fabrizio; Gantner, Jonathan 18 2019 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 17 2013 Continuity theorems for a class of convolution operators and applications to superoscillations. Zbl 1411.35091Aoki, T.; Colombo, F.; Sabadini, I.; Struppa, D. C. 17 2018 The Radon transform between monogenic and generalized slice monogenic functions. Zbl 1335.30017Colombo, F.; Lávička, R.; Sabadini, I.; Souček, V. 16 2015 The Runge theorem for slice hyperholomorphic functions. Zbl 1220.30068Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 16 2011 Perturbation of the generator of a quaternionic evolution operator. Zbl 1327.47035Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 15 2015 Singularities of functions of one and several bicomplex variables. Zbl 1253.30060Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C.; Vajiac, Adrian 15 2011 The inverse Fueter mapping theorem in integral form using spherical monogenics. Zbl 1341.30042Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus 14 2013 The \(\mathcal F\)-spectrum and the \(\mathcal S \mathcal C\)-functional calculus. Zbl 1256.47006Colombo, Fabrizio; Sabadini, Irene 14 2012 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 13 2016 Bloch, Besov and Dirichlet spaces of slice hyperholomorphic functions. Zbl 1308.30056Castillo Villalba, C. Marco Polo; Colombo, Fabrizio; Gantner, Jonathan; González-Cervantes, J. Oscar 13 2015 Fractional powers of quaternionic operators and Kato’s formula using slice hyperholomorphicity. Zbl 06814519Colombo, Fabrizio; Gantner, Jonathan 13 2018 Schrödinger evolution of superoscillations under different potentials. Zbl 1402.81121Aharonov, Y.; Colombo, Fabrizio; Struppa, D. C.; Tollaksen, J. 13 2018 Functions of the infinitesimal generator of a strongly continuous quaternionic group. Zbl 1370.47015Alpay, Daniel; Colombo, Fabrizio; Gantner, Jonathan; Kimsey, David P. 12 2017 Identification of two memory kernels and the time dependence of the heat source for a parabolic conserved phase-field model. Zbl 1095.35065Colombo, Fabrizio; Guidetti, Davide; Vespri, Vincenzo 12 2005 Twisted plane wave expansions using hypercomplex methods. Zbl 1288.30051Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus; Struppa, Daniele C. 12 2014 An extension of Herglotz’s theorem to the quaternions. Zbl 1297.30073Alpay, Daniel; Colombo, Fabrizio; Kimsey, David P.; Sabadini, Irene 11 2015 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 11 2016 On slice biregular functions and isomorphisms of Bergman spaces. Zbl 1251.30055Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 11 2012 Evolution of superoscillatory data. Zbl 1290.32005Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 10 2014 Adaptive orthonormal systems for matrix-valued functions. Zbl 1370.47011Alpay, Daniel; Colombo, Fabrizio; Qian, Tao; Sabadini, Irene 10 2017 A functional calculus in a noncommutative setting. Zbl 1137.47014Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene; Struppa, Daniele C. 10 2008 Evolution of superoscillations for Schrödinger equation in a uniform magnetic field. Zbl 1372.81040Colombo, F.; Gantner, J.; Struppa, D. C. 10 2017 On some operators associated to superoscillations. Zbl 1297.47095Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 10 2013 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. 10 2017 An inverse problem for the strongly damped wave equation with memory. Zbl 1214.35078Colombo, Fabrizio 9 2007 Identification of time and space dependent relaxation kernels for materials with memory related to cylindrical domains. II. Zbl 0892.45007Colombo, F.; Lorenzi, A. 9 1997 Direct and inverse problems for a phase-field model with memory. Zbl 0987.45006Colombo, Fabrizio 9 2001 Inner product spaces and Krein spaces in the quaternionic setting. Zbl 1376.46017Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 9 2015 Identification of the memory kernel in the strongly damped wave equation by a flux condition. Zbl 1191.45008Colombo, Fabrizio; Guidetti, Davide 9 2009 Further properties of the Bergman spaces of slice regular functions. Zbl 1332.30073Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 8 2015 On the Szegő-Radon projection of monogenic functions. Zbl 1338.44003Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus 8 2016 Some global in time results for integrodifferential parabolic inverse problems. Zbl 1110.45010Colombo, Fabrizio; Guidetti, Davide; Vespri, Vincenzo 8 2006 Adaptative decomposition: the case of the Drury-Arveson space. Zbl 06829778Alpay, Daniel; Colombo, Fabrizio; Qian, Tao; Sabadini, Irene 8 2017 Algebraic properties of the module of slice regular functions in several quaternionic variables. Zbl 1273.30038Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 8 2012 Superoscillating sequences towards approximation in \(\mathscr{S}\) or \(\mathscr{S}^\prime\)-type spaces and extrapolation. Zbl 1421.42003Colombo, F.; Struppa, D. C.; Yger, A. 8 2019 Perturbation of normal quaternionic operators. Zbl 07089861Cerejeiras, Paula; Colombo, Fabrizio; Kähler, Uwe; Sabadini, Irene 8 2019 The Pompeiu formula for slice hyperholomorphic functions. Zbl 1246.30079Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 7 2011 A unified approach to nonlinear integro-differential inverse problems of parabolic type. Zbl 1019.45006Colombo, F.; Guidetti, D. 7 2002 An inverse problem for a parabolic integrodifferential model in the theory of combustion. Zbl 1133.45003Colombo, Fabrizio 7 2007 Non-commutative functional calculus: unbounded operators. Zbl 1197.47030Colombo, Fabrizio; Gentili, Graziano; Sabadini, Irene; Struppa, Daniele C. 7 2010 Schatten class and Berezin transform of quaternionic linear operators. Zbl 1356.47025Colombo, Fabrizio; Gantner, Jonathan; Janssens, Tim 7 2016 Quaternionic de Branges spaces and characteristic operator function. Zbl 1475.47001Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 7 2020 Evolution of Aharonov-Berry superoscillations in Dirac \(\delta\)-potential. Zbl 1423.81063Behrndt, Jussi; Colombo, Fabrizio; Schlosser, Peter 7 2019 Bicomplex hyperfunctions. Zbl 1226.30044Colombo, F.; Sabadini, I.; Struppa, D. C.; Vajiac, A.; Vajiac, M. 6 2011 Quaternionic hyperfunctions on five-dimensional varieties in \(\mathbb H^2\). Zbl 1135.30021Colombo, Fabrizio; Damiano, Alberto; Sabadini, Irene; Struppa, Daniele C. 6 2007 An inverse problem in the theory of combustion of materials with memory. Zbl 0958.35145Colombo, F.; Lorenzi, A. 6 1998 Quasilinear systems with memory kernels. Zbl 1098.45008Colombo, Fabrizio 6 2005 Some remarks on the \(\mathcal S\)-spectrum. Zbl 1277.47007Colombo, Fabrizio; Sabadini, Irene 6 2013 Interpolation problems for certain classes of slice hyperholomorphic functions. Zbl 1353.30049Alpay, Daniel; Bolotnikov, Vladimir; Colombo, Fabrizio; Sabadini, Irene 6 2016 The \(F\)-functional calculus for unbounded operators. Zbl 1440.47010Colombo, Fabrizio; Sabadini, Irene 6 2014 Gleason’s problem and Schur multipliers in the multivariable quaternionic setting. Zbl 1307.30087Abu-Ghanem, Khaled; Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 6 2015 On superoscillations longevity: a windowed Fourier transform approach. Zbl 1282.81066Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 6 2014 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 Formulations of the \(\mathcal F\)-functional calculus and some consequences. Zbl 1405.47004Colombo, Fabrizio; Gantner, Jonathan 6 2016 On applications of maximal regularity to inverse problems for integrodifferential equations of parabolic type. Zbl 1041.45016Colombo, Fabrizio; Guidetti, Davide; Lorenzi, Alfredo 6 2003 Integrodifferential identification problems for thermal materials with memory in non-smooth plane domains. Zbl 1161.45312Colombo, Fabrizio; Guidetti, Davide; Lorenzi, Alfredo 6 2003 Superoscillating sequences and hyperfunctions. Zbl 1439.32017Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C.; Yger, Alain 6 2019 An application of the \(S\)-functional calculus to fractional diffusion processes. Zbl 1447.47063Colombo, Fabrizio; Gantner, Jonathan 6 2018 Green’s function for the Schrödinger equation with a generalized point interaction and stability of superoscillations. Zbl 1456.81165Aharonov, Yakir; Behrndt, Jussi; Colombo, Fabrizio; Schlosser, Peter 4 2021 Gauss sums, superoscillations and the Talbot carpet. Zbl 1460.35092Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C.; Yger, Alain 3 2021 Superoscillations and analytic extension in Schur analysis. Zbl 1462.30050Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 3 2021 An introduction to hyperholomorphic spectral theories and fractional powers of vector operators. Zbl 07384103Colombo, Fabrizio; Gantner, Jonathan; Pinton, Stefano 1 2021 The noncommutative fractional Fourier law in bounded and unbounded domains. Zbl 07422101Colombo, Fabrizio; González, Denis Deniz; Pinton, Stefano 1 2021 Slice monogenic functions of a Clifford variable via the \(S\)-functional calculus. Zbl 07423222Colombo, Fabrizio; Kimsey, David P.; Pinton, Stefano; Sabadini, Irene 1 2021 Quaternionic de Branges spaces and characteristic operator function. Zbl 1475.47001Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 7 2020 Evolution of superoscillations in the Klein-Gordon field. Zbl 1442.81023Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 5 2020 How superoscillating tunneling waves can overcome the step potential. Zbl 1433.35322Aharonov, Y.; Colombo, Fabrizio; Sabadini, Irene; Struppa, D. C.; Tollaksen, J. 5 2020 Michele Sce’s works in hypercomplex analysis. A translation with commentaries. Zbl 1448.30001Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 5 2020 Fractional powers of vector operators with first order boundary conditions. Zbl 1442.47066Colombo, Fabrizio; González, Denis Deniz; Pinton, Stefano 3 2020 Symmetries of slice monogenic functions. Zbl 1468.30083Colombo, Fabrizio; Kraußhar, Rolf Sören; Sabadini, Irene 2 2020 Realizations of holomorphic and slice hyperholomorphic functions: the Krein space case. Zbl 1462.47010Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 2 2020 Evolution of superoscillations in the Dirac field. Zbl 1457.30008Colombo, Fabrizio; Valente, Giovanni 1 2020 Quaternionic closed operators, fractional powers and fractional diffusion processes. Zbl 1458.47001Colombo, Fabrizio; Gantner, Jonathan 18 2019 Superoscillating sequences towards approximation in \(\mathscr{S}\) or \(\mathscr{S}^\prime\)-type spaces and extrapolation. Zbl 1421.42003Colombo, F.; Struppa, D. C.; Yger, A. 8 2019 Perturbation of normal quaternionic operators. Zbl 07089861Cerejeiras, Paula; Colombo, Fabrizio; Kähler, Uwe; Sabadini, Irene 8 2019 Evolution of Aharonov-Berry superoscillations in Dirac \(\delta\)-potential. Zbl 1423.81063Behrndt, Jussi; Colombo, Fabrizio; Schlosser, Peter 7 2019 Superoscillating sequences and hyperfunctions. Zbl 1439.32017Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C.; Yger, Alain 6 2019 The structure of the fractional powers of the noncommutative Fourier law. Zbl 1447.47062Colombo, Fabrizio; Peloso, Marco M.; Pinton, Stefano 5 2019 Fractional powers of the noncommutative Fourier’s law by the \(S\)-spectrum approach. Zbl 1447.47061Colombo, Fabrizio; Mongodi, Samuele; Peloso, Marco; Pinton, Stefano 3 2019 Evolution by Schrödinger equation of Aharonov-Berry superoscillations in centrifugal potential. Zbl 1472.35321Colombo, F.; Gantner, J.; Struppa, D. C. 2 2019 The Fock space as a de Branges-Rovnyak space. Zbl 1443.46017Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 1 2019 Positive and generalized positive real lemma for slice hyperholomorphic functions. Zbl 1417.30042Alpay, Daniel; Colombo, Fabrizio; Lewkowicz, Izchak; Sabadini, Irene 1 2019 The Cauchy transform in the slice hyperholomorphic setting and related topics. Zbl 1418.30046Colombo, Fabrizio; Mongodi, Samuele 1 2019 Spectral theory on the S-spectrum for quaternionic operators. Zbl 1422.47002Colombo, Fabrizio; Gantner, Jonathan; Kimsey, David P. 20 2018 Continuity of some operators arising in the theory of superoscillations. Zbl 1402.81167Aoki, T.; Colombo, Fabrizio; Sabadini, Irene; Struppa, D. C. 18 2018 Continuity theorems for a class of convolution operators and applications to superoscillations. Zbl 1411.35091Aoki, T.; Colombo, F.; Sabadini, I.; Struppa, D. C. 17 2018 Fractional powers of quaternionic operators and Kato’s formula using slice hyperholomorphicity. Zbl 06814519Colombo, Fabrizio; Gantner, Jonathan 13 2018 Schrödinger evolution of superoscillations under different potentials. Zbl 1402.81121Aharonov, Y.; Colombo, Fabrizio; Struppa, D. C.; Tollaksen, J. 13 2018 An application of the \(S\)-functional calculus to fractional diffusion processes. Zbl 1447.47063Colombo, Fabrizio; Gantner, Jonathan 6 2018 Herglotz functions of several quaternionic variables. Zbl 1393.30037Abu-Ghanem, Khaled; Alpay, Daniel; Colombo, Fabrizio; Lewkowicz, Izchak; Sabadini, Irene 4 2018 Fractional powers of vector operators and fractional Fourier’s law in a Hilbert space. Zbl 1401.60151Colombo, Fabrizio; Gantner, Jonathan 4 2018 The mathematics of superoscillations. Zbl 1383.42002Aharonov, Yakir; Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C.; Tollaksen, Jeff 24 2017 Functions of the infinitesimal generator of a strongly continuous quaternionic group. Zbl 1370.47015Alpay, Daniel; Colombo, Fabrizio; Gantner, Jonathan; Kimsey, David P. 12 2017 Adaptive orthonormal systems for matrix-valued functions. Zbl 1370.47011Alpay, Daniel; Colombo, Fabrizio; Qian, Tao; Sabadini, Irene 10 2017 Evolution of superoscillations for Schrödinger equation in a uniform magnetic field. Zbl 1372.81040Colombo, F.; Gantner, J.; Struppa, D. C. 10 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. 10 2017 Adaptative decomposition: the case of the Drury-Arveson space. Zbl 06829778Alpay, Daniel; Colombo, Fabrizio; Qian, Tao; Sabadini, Irene 8 2017 On a class of quaternionic positive definite functions and their derivatives. Zbl 1361.60026Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 4 2017 On the Bargmann-Radon transform in the monogenic setting. Zbl 1376.30036Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus 4 2017 An introduction to fractional powers of quaternionic operators and new fractional diffusion processes. Zbl 06864061Colombo, Fabrizio; Gantner, Jonathan 2 2017 A Cauchy kernel for the Hermitian submonogenic system. Zbl 1406.30016Colombo, Fabrizio; Peña, Dixan Peña; Sommen, Frank 1 2017 Slice hyperholomorphic Schur analysis. Zbl 1366.30001Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 62 2016 The spectral theorem for quaternionic unbounded normal operators based on the \(S\)-spectrum. Zbl 1357.47022Alpay, Daniel; Colombo, Fabrizio; Kimsey, David P. 40 2016 Entire slice regular functions. Zbl 1372.30001Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 37 2016 Superoscillating sequences in several variables. Zbl 1345.32001Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 20 2016 The spectral theorem for unitary operators based on the \(S\)-spectrum. Zbl 1342.35189Alpay, Daniel; Colombo, Fabrizio; Kimsey, David P.; Sabadini, Irene 19 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 13 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 11 2016 On the Szegő-Radon projection of monogenic functions. Zbl 1338.44003Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus 8 2016 Schatten class and Berezin transform of quaternionic linear operators. Zbl 1356.47025Colombo, Fabrizio; Gantner, Jonathan; Janssens, Tim 7 2016 Interpolation problems for certain classes of slice hyperholomorphic functions. Zbl 1353.30049Alpay, Daniel; Bolotnikov, Vladimir; Colombo, Fabrizio; Sabadini, Irene 6 2016 Formulations of the \(\mathcal F\)-functional calculus and some consequences. Zbl 1405.47004Colombo, Fabrizio; Gantner, Jonathan 6 2016 On power series expansions of the \(S\)-resolvent operator and the Taylor formula. Zbl 1356.47020Colombo, Fabrizio; Gantner, Jonathan 5 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 2 2016 Monogenic plane waves and the \(W\)-functional calculus. Zbl 1350.30068Colombo, Fabrizio; Lávička, Roman; Sabadini, Irene; Souček, Vladimír 1 2016 An introduction to superoscillatory sequences. Zbl 1372.32005Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 1 2016 Superoscillating sequences as solutions of generalized Schrödinger equations. Zbl 1304.30036Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 25 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 23 2015 A new resolvent equation for the \(S\)-functional calculus. Zbl 1354.47016Alpay, Daniel; Colombo, Fabrizio; Gantner, Jonathan; Sabadini, Irene 23 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. 16 2015 Perturbation of the generator of a quaternionic evolution operator. Zbl 1327.47035Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 15 2015 Bloch, Besov and Dirichlet spaces of slice hyperholomorphic functions. Zbl 1308.30056Castillo Villalba, C. Marco Polo; Colombo, Fabrizio; Gantner, Jonathan; González-Cervantes, J. Oscar 13 2015 An extension of Herglotz’s theorem to the quaternions. Zbl 1297.30073Alpay, Daniel; Colombo, Fabrizio; Kimsey, David P.; Sabadini, Irene 11 2015 Inner product spaces and Krein spaces in the quaternionic setting. Zbl 1376.46017Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 9 2015 Further properties of the Bergman spaces of slice regular functions. Zbl 1332.30073Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 8 2015 Gleason’s problem and Schur multipliers in the multivariable quaternionic setting. Zbl 1307.30087Abu-Ghanem, Khaled; Alpay, Daniel; Colombo, Fabrizio; 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 Schur analysis in the quaternionic setting: the Fueter regular and the slice regular case. Zbl 1337.47015Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 2 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 24 2014 Quantum harmonic oscillator with superoscillating initial datum. Zbl 1301.81054Buniy, R. V.; Colombo, F.; Sabadini, I.; Struppa, D. C. 20 2014 Krein-Langer factorization and related topics in the slice hyperholomorphic setting. Zbl 1314.47036Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 18 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 The \(F\)-functional calculus for unbounded operators. Zbl 1440.47010Colombo, Fabrizio; Sabadini, Irene 6 2014 On superoscillations longevity: a windowed Fourier transform approach. Zbl 1282.81066Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 6 2014 Bicomplex holomorphic functional calculus. Zbl 1295.30112Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 5 2014 Generalized quaternionic Schur functions in the ball and half-space and Krein-Langer factorization. Zbl 1314.30091Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 5 2014 A new integral formula for the inverse Fueter mapping theorem. Zbl 1305.30024Colombo, Fabrizio; Peña Peña, Dixan; Sabadini, Irene; Sommen, Frank 5 2014 The Fueter primitive of biaxially monogenic functions. Zbl 1277.30036Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus 5 2014 On some notions of convergence for \(n\)-tuples of operators. Zbl 1322.47011Alpay, Daniel; Colombo, F.; Sabadini, I. 4 2014 Distributions and the global operator of slice monogenic functions. Zbl 1306.30019Colombo, Fabrizio; Sommen, Franciscus 3 2014 Some integral representations of slice hyperholomorphic functions. Zbl 1302.30064Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 2 2014 Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions. Zbl 1281.30034Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 38 2013 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. 27 2013 A nonconstant coefficients differential operator associated to slice monogenic functions. Zbl 1278.30047Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 26 2013 The C-property for slice regular functions and applications to the Bergman space. Zbl 1277.30035Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 20 2013 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 17 2013 The inverse Fueter mapping theorem in integral form using spherical monogenics. Zbl 1341.30042Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus 14 2013 On some operators associated to superoscillations. Zbl 1297.47095Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 10 2013 Some remarks on the \(\mathcal S\)-spectrum. Zbl 1277.47007Colombo, Fabrizio; Sabadini, Irene 6 2013 Schur functions and their realizations in the slice hyperholomorphic setting. Zbl 1258.47018Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 39 2012 Superoscillation phenomena in \(\mathrm{SO}(3)\). Zbl 1371.81196Aharonov, Y.; Colombo, F.; Nussinov, S.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. 21 2012 The \(\mathcal F\)-spectrum and the \(\mathcal S \mathcal C\)-functional calculus. Zbl 1256.47006Colombo, Fabrizio; Sabadini, Irene 14 2012 On slice biregular functions and isomorphisms of Bergman spaces. Zbl 1251.30055Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 11 2012 Algebraic properties of the module of slice regular functions in several quaternionic variables. Zbl 1273.30038Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. 8 2012 ...and 59 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 361 Authors 120 Sabadini, Irene 119 Colombo, Fabrizio 48 Struppa, Daniele Carlo 41 Alpay, Daniel Aron 34 Sommen, Franciscus 19 Qian, Tao 19 Ren, Guangbin 17 Gentili, Graziano 16 Wang, Wei 15 Brackx, Fred F. 15 De Schepper, Hennie 15 Ghiloni, Riccardo 15 Perotti, Alessandro 14 Gantner, Jonathan 14 González-Cervantes, José Óscar 13 Aharonov, Yakir 13 Stoppato, Caterina 13 Thirulogasanthar, Kengatharam 12 Gal, Sorin Gheorghe 12 Muraleetharan, B. 11 Eelbode, David 10 Kimsey, David Patrick 10 Lávička, Roman 10 Soucek, Vladimir 9 Altavilla, Amedeo 9 Bory Reyes, Juan 9 Damiano, Alberto 9 De Bie, Hendrik 9 Guidetti, Davide 9 Xu, Zhenghua 8 Abreu-Blaya, Ricardo 8 Diki, Kamal 8 Luna-Elizarrarás, María Elena 8 Peña Peña, Dixan 7 Bolotnikov, Vladimir 7 Janno, Jaan 7 Lorenzi, Alfredo 7 Pinton, Stefano 7 Shapiro, Michael V. 7 Slodička, Marián 7 Vâjiac, Adrian I. 6 Kähler, Uwe 6 Wang, Xieping 6 Wu, Bin 5 Adán, Alí Guzmán 5 Berry, Michael Victor 5 Bisi, Cinzia 5 De Staelen, Rob H. 5 Ghanmi, Allal 5 Kraußhar, Rolf Sören 5 Salač, Tomáš 5 Vajiac, Mihaela B. 5 Yger, Alain 4 Aoki, Takashi 4 de Fabritiis, Chiara 4 He, Fuli 4 Jin, Ming 4 Ku, Min 4 Kumar, Romesh 4 Lewkowicz, Izchak 4 van Bockstal, Karel 3 Abu-Ghanem, Khaled 3 Behrndt, Jussi 3 Bernstein, Swanhild 3 Cnudde, Lander 3 Cohen, Eliahu 3 De Martino, Antonino 3 Dong, Baohua 3 Fashandi, Massoumeh 3 Hu, Ren 3 Mai, Weixiong 3 Manzoor, Khalid 3 Markina, Irina 3 Mongodi, Samuele 3 Moretti, Valter 3 Paiva, Ismael L. 3 Pérez-de La Rosa, Marco Antonio 3 Raeymaekers, Tim 3 Ramesh, Golla 3 Recupero, Vincenzo 3 Saini, Heera 3 Sarfatti, Giulia 3 Schlosser, Peter 3 Shi, Yun 3 Shpakivskyi, Vitalii Stanislavovich 3 Tan, Lihui 3 Tollaksen, Jeff 3 Wang, Haiyan 3 Wu, Siyuan 2 Benahmadi, Abdelhadi 2 Boumenir, Amin A. 2 Bryukhov, Dmitry 2 Cavaterra, Cecilia 2 Cerejeiras, Paula 2 Chang, Der-Chen E. 2 Coloma, Nicolás 2 Delladio, Silvano 2 Dou, Xinyuan 2 Dressel, Justin 2 Elitzur, Avshalom C. ...and 261 more Authors all top 5 Cited in 123 Serials 58 Advances in Applied Clifford Algebras 44 Complex Analysis and Operator Theory 24 Complex Variables and Elliptic Equations 21 Journal of Geometry and Physics 21 The Journal of Geometric Analysis 20 Journal of Mathematical Analysis and Applications 16 Journal of Mathematical Physics 11 Quantum Studies: Mathematics and Foundations 10 Mathematical Methods in the Applied Sciences 10 Annali di Matematica Pura ed Applicata. 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