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                                       FABRIZIO
COLOMBO
                                                                                SCIENTIFIC PUBBLICATIONS

1 F. Colombo, V. Vespri:
Generation of analytic semigroups in W^{k,p} and C^k,
Differential and Integral Equations,  6 (1996), 421-436.
2 F. Colombo:
Quasilinear Parabolic Equations in C^k  Spaces,
Dynamic Systems and Applications, 6 (1997),  271-296.
3 F. Colombo,  A. Lorenzi:
Identification of time and space dependent relaxation kernels in the theory of materials with memory I,
Journal of Mathematical Analysis and Applications,  213 (1997),  32-62.
4 F. Colombo, A. Lorenzi:
Identification of time and space dependent relaxation kernels in the theory of materials with memory II,
Journal of Mathematical Analysis and Applications,  213 (1997),  63-90.
5 F. Colombo,  A. Lorenzi:
An inverse problem in the theory of combustion of materials with memory,
Advances in Differential Equations,  3 (1998), 133-154.
6 F.Colombo, P. Loustaunau, I. Sabadini,  D.C. Struppa:
Regular functions of biquaternionic variables and Maxwell's equations,
Journal of Geometry and Physics,  26 (1998), 183-201.
7 F. Colombo: 
Problemi inversi, equazioni quasilineari e semigruppi analitici,
Estratto  della Tesi di Dottorato, Bollettino UMI, 1-A  (1998), 97-100.
8 F. Colombo,  M. Giuli, V. Vespri:
Generation of smoothing semigroups by degenerate elliptic operators arising in financial mathematics,
Communications in Applied Analysis,  3 (1999), 283-202.
9 F. Colombo,  R. Monte, V. Vespri:
On Some Equations About European Option Pricing,
Proceedings of the 18th IFIP Conference on Systems Modeling and Optimization,
(Detroit, MI, 1997) Addison Wesley Longman, Research notes in Mathematics,   396 (1999),  33-41.
10 F.Colombo,  I. Sabadini,  D.C. Struppa:
Dirac equation in the octonionic algebra,
Contemporary Mathematics AMS,   251 (2000), 117-134.
11 F. Colombo,  A. Lorenzi:
An identification problem related to a parabolic integrodifferential equation with non commuting spatial operators,
Journal Inverse and Ill-posed Problems,  8 (2000),  505-540.
12 F. Colombo:
Continuous dependence results for an inverse problem in the theory of combustion of materials with memory,
Rendiconti Istituto Matematico Universita` di Trieste,  32 (2000), 189-215.
13 F. Colombo:
A quasilinear parabolic inverse problem in Holder spaces,
Differential and Integral Equations,  14 (2001), 1237-1258.
14 F. Colombo:
Direct and inverse problems for a phase field model with memory,
Journal of Mathematical Analysis and Applications,  260 (2001),  517-545.
15 F. Colombo: 
Some inverse  problems related to the heat equation with memory in non smooth spatial domains,
Series on Advances in Mathematics for Applied Sciences: Mathematical Models and Methods for Smart Materials.
Editors M. Fabrizio, B. Lazzari, A. Morro,  62 (2002), 61-72.
16 F. Colombo D. Guidetti,  A. Lorenzi:
Elliptic equations in non-smooth plane domains with an application to a parabolic problem,
Advances in Differential Equations,  7 (2002), 695-716.
17 F. Colombo:
An inverse problem for a generalized Kermack-McKendrick model,
Journal of Inverse and Ill-Posed Problems, 10 (2002), 221-241.
18 C. Cavaterra,  F. Colombo:
Automatic control problems for reaction diffusion systems,
Journal of Evolution Equations,  2 (2002), 241-273.
19 F. Colombo, D. Guidetti:
A unified approach to nonlinear  integro-differential inverse problems of  parabolic type,
Zeitschrift fur Analysis und ihre Anwendungen, 21 (2002),  431-464.
20 F. Colombo I. Sabadini, F. Sommen,  D. C. Struppa:
Syzygies and conservation laws,
Foundations of Physics Letters,  15 (2002), 507-522.
21 F. Colombo,  M. Giuli, V. Vespri:
A Semigroup Approach to No-Arbitrage Pricing Theory: Constant Elasticity Variance Model and Term Structure Models,
Proceedings of ``Evolution Equation 2000: Appl. to Phys., Ind., Life Sci. Econ. EVEQ 2000'', (2002).
22 F. Colombo, V. Vespri:
A semilinear integrodifferential inverse problem,
Evolution equations, J. Goldstein, R. Nagel and S. Romanelli editors, Marcel Dekker, Inc.  (2003) , 91-104, cap.6.
23 F. Colombo, D. Guidetti,  A. Lorenzi:
On  applications of maximal regularity to inverse  problems for integrodifferential equations of parabolic type,
Evolution equations, J. Goldstein, R. Nagel and S. Romanelli editors, Marcel Dekker, Inc. 2003, 77-90,  cap.5.
24 F. Colombo,  I. Sabadini , D.C. Struppa:
An introduction to Computational Algebraic Analysis,
Milan Journal of  Mathematics, 71 (2003),  1-36.
25 F. Colombo,  D. Guidetti, A. Lorenzi:
Integrodifferential  identification problems for thermal materials with memory in non-smooth plane domains,
Dynamic Systems and Applications,  12  (2003),  533-560.
26 F. Colombo,  D. Guidetti,  A. Lorenzi:
Inegrodifferential identification problems for  the heat equation in cylindrical domains,
Advances in Mathematical Science and Application,  13 (2003), 639-662.
27 C. Cavaterra,  F. Colombo:
Identifying a heat source in automatic control problem,
Communication on Applied Nonlinear Analysis,  11 (2004), 1-23.
28 F. Colombo, F. Tomarelli:
Boundary value problems and obstacle problem for elastic bodies with free cracks ,
Calculus of Variations: Topics from the Mathematical Heritage of Ennio De Giorgi, D. Pallara (ed.),
Quaderni di Mathematica,  14. Series edited by Dipartimento di Matematica della Seconda Universita`
di Napoli, (2004).
29 F. Colombo,  A. Damiano,  I. Sabadini and  D.C. Struppa:
A surjectivity theorem for differential operators on spaces of regular functions,
Complex Variables Theory and Application,  50 (2005),  389-400.

30 F. Colombo and   D. Guidetti:
An inverse problem for a phase-field model in Sobolev spaces,
Nonlinear elliptic and parabolic problems,
189-210,
Progr. Nonlinear Differential Equations Appl., 64, Birkhäuser, Basel, 2005.
31 F. Colombo:
Quasilinear Systems with Memory Kernels,

Journal of Mathematical Analysis and Applications, 311 (2005), 40-68.

32 F. Colombo,  D. Guidetti, V. Vespri:
Identification of two memory kernels and the time dependence of the heat source for a parabolic conserved phase-field model,
Mathematical Methods for the Applied Science,  28 (2005), 2085-2115.
33 F. Colombo,  D. Guidetti,  A. Lorenzi,  V. Vespri:
Some recent results on  inverse problems  arising from phase-field models,
RIMS Kokyuroku,  1436 (2005), 66-87.
34 F. Colombo,  V. Soucek,  D. C. Struppa:
 Invariant resolutions for several Fueter operators,
Journal of Geometry and Physics,  56 (2006),  1175- 1191.
35 Colombo, D. Guidetti, V. Vespri :
A global in time result for an integro-differential parabolic inverse problem in the space of bounded functions,
Dissipative phase transitions,  65--86, Ser. Adv. Math. Appl. Sci., 71, World Sci. Publ., Hackensack, NJ, 2006.
36 F. Colombo, D. Guidetti , V. Vespri :
Some  global in time results  for integro-differential  parabolic inverse  problems,
Differential equations: inverse and direct problems, 35-58,
Lect. Notes Pure Appl. Math., 251, Chapman & Hall/CRC, Boca Raton, FL, 2006.
37 F. Colombo, A. Damiano:
Identification of the memory kernel and the heat source for a phase-field model,

Houston Journal of Mathematics,  32 (2006),  895-920.
38 F. Colombo,  D. Guidetti :
A global in time existence and uniqueness result for a semilinear integrodifferential parabolic  inverse problem in Sobolev Spaces,
Mathematical Models and Methods in Applied Science, 17 (2007), 1-29.
39 F. Colombo:
An inverse problem for the strongly damped wave equation with memory,
Nonlinearity, 20 (2007), 659-683.

40 F. Colombo, M.E Luna-Elizarraras, I. Sabadini, M.V. Shapiro,   D.C. Struppa:
A new characterization of pseudoconvex domains in C^2,
Comptes Rendus Math. Acad. Sci. Paris,  334 (2007),  677-680.
41 F. Colombo,  A. Damiano, I. Sabadini,  D.C. Struppa:
Quaternionic hyperfunctions on 5-dimensional varieties in H^2,
Journal of  Geometrical Analysis,  17 (2007), 459-478.
42 F. Colombo, G. Gentili, I. Sabadini,  D.C. Struppa:
A functional calculus in a non commutative  setting,
Electronic Research Announcements in Mathematical Sciences,  14 (2007),  60-68.
43 F. Colombo:
An inverse problem  for a parabolic integrodifferential model in the theory of combustion,
Physica D, 236 (2007),  81-89.

44 F. Colombo, I. Sabadini, D.C. Struppa:
A new functional calculus for non commuting operators,
Journal of Functional Analysis,  254 (2008),  2255-2274.
45 F. Colombo,  D. Guidetti:
An inverse problem for the beam equation with memory with non homogeneous boundary conditions,
Inverse Problems,  24 (2008),  065015 (28p).
46 F. Colombo, G. Gentili, I. Sabadini,  D.C. Struppa:
An overview on functional calculi in different settings,
Hypercomplex Analysis, Trends in Mathematics, Birkhauser, 69-99, 2009.
47 F. Colombo, I. Sabadini:
A structure formula for  slice monogenic functions and some of its consequences,
Hypercomplex Analysis, Trends in Mathematics, Birkhauser, 101-114,  2009.
48 F. Colombo,  D. Guidetti: 
Identification of the memory  kernel in the strongly damped wave equation by a flux condition,
Communication on Pure and Applied Analysis,  8 (2009), 601-620.
49 F. Colombo, I. Sabadini:
On some properties of the quaternionic functional calculus,
Journal of  Geometric Analysis, 19 (2009), 601-627.
50 F. Colombo:
Global in time results for a class of inverse problems,
Journal of Inverse and Ill-Posed Problems, 17 (2009), 259-287.
51 F. Colombo,  I. Sabadini, D.C. Struppa:
Slice monogenic functions,
Israel Journal of Mathematics, 171  (2009), 385-403.
52 F. Colombo,  A. Damiano, I. Sabadini, D. C. Struppa:
A new Dolbeault complex in quaternionic and Clifford analysis,
More Progresses in Analysis, Proceedings of the 5th ISAAC Conference, 1019-1032.
53 F. Colombo,  A. Damiano, I. Sabadini, D. C. Struppa:
A functional calculus for n-tuples of non-commuting operators,
Advances in Applied Clifford Algebra,  19 (2009),  225-236.
54 F. Colombo,  I. Sabadini, D.C. Struppa, A. Vajiac, M. Vajiac:
Computational algebra techniques in electromagnetism,
Journal of mathematical science: advances and applications, 3 (2009), 77-88.
55 F. Colombo, G. Gentili, I. Sabadini, D. C. Struppa:
Extension results for slice regular functions of a quaternionic variable,
Advances in Mathematics,  222 (2009),  1793-1808.
56 F. Colombo,  D. Guidetti:
Some results on the reconstruction of  a convolution kernel in an integrodifferential  beam equation,
Communication to SIMAI Congress,  3 (2009), 264 (10p).
57 F. Colombo:
Stability and global in time  results for an inverse problem related to a nuclear reactor model,
Inverse Problems, 25 (2009), 105007 (20p).
58 F. Colombo,  G. Gentili, I. Sabadini, D.C. Struppa:
Non commutative functional calculus:  unbounded operators,
Journal of Geometry and Physics,  60 (2010), 251-259.
59 F. Colombo,  G. Gentili, I. Sabadini, D.C. Struppa:
Non commutative functional calculus:  bounded operators,
Complex Analysis and Operator Theory,  4  (2010), 821-843.
60 F. Colombo,  I. Sabadini, D.C. Struppa:
An extension theorem for slice monogenic functions and some of its consequences,
Israel Journal of Mathematics,  177 (2010), 369-389.
61 F. Colombo,  I. Sabadini, F. Sommen:
The Fueter mapping theorem in integral form and  the F-functional calculus,
Mathematical Methods in the Applied Science,  33 (2010), 2050-2066.
62 F. Colombo,  I. Sabadini, D.C. Struppa:
Duality theorems for slice hyperholomorphic functions,  
Journal fur die Reine und Angewandte Mathematik (Crelle's  Journal),  645 (2010), 85-104.
63 F. Colombo,   G. Gentili, I. Sabadini:
A Cauchy kernel for slice regular functions,
Annals of Global Analysis and Geometry,  37 (2010), 361-378.
64 F. Colombo:
An inverse problem for a linearized model in the theory of combustion,
Journal of Inverse and Ill-Posed Problems,  18 (2010), 167-187.
65 F. Colombo, I. Sabadini:
On the  formulations of the quaternionic functional calculus,
Journal of Geometry and Physics,  60 (2010), 1490-1508.
66 F. Colombo,  I. Sabadini, D.C. Struppa:
The Pompeiu formula for slice hyperholomorphic functions,

Michigan Mathematical Journal,  60 (2011), 163-170.
67 F. Colombo, I. Sabadini, D.C. Struppa, A. Vajiac, M. Vajiac:
Singularities of functions of one and several bicomplex variables,
Arkiv for Matematik (Institute Mittag-Leffler),  49 (2011), 277-294.
68 F. Colombo, I. Sabadini:
Bounded perturbations of the resolvent operators associated to the  F-spectrum,
Hypercomplex Analysis and Applications, Trends in Mathematics, Birkhauser, (2011), 13-28.
69 F. Colombo, I. Sabadini,  D.C. Struppa, A. Vajiac, M. Vajiac:
Bicomplex hyperfunctions,
Annali di Matematica Pura ed Applicata,  190 (2011), 247-261.
70  F. Colombo, I. Sabadini:
The Cauchy formula with s-monogenic kernel and a functional calculus for noncommuting operators,
Journal of Mathematical Analysis and Applications,  373 (2011), 655-679.
71 F. Colombo, I. Sabadini:
The quaternionic evolution operator,
Advances in Mathematics,  227 (2011), 1772-1805.
72 F. Colombo, D. Guidetti:
Some results on the identification of memory kernels,
in Modern Aspects of the Theory of Partial Differential Equations, Series: Operator Theory: Advances and Applications,
Vol. 216, p.121-138, Ruzhansky, Michael; Wirth, Jens (Eds.) 1st Edition,  (2011).
73 F. Colombo, I. Sabadini,  D.C. Struppa:
The Runge theorem for slice hyperholomorphic functions,
Proceedings American Mathematical Society,  139  (2011), 1787-1803.
74 F. Colombo, J. O. Gonzalez-Cervantes, I. Sabadini:
Comparison of the Various Notions of Slice Monogenic Functions and their Variations,
 Conf. Proc. ICNAAM,  1389  (2011), 264--267, Vol. A, B and C, American Institute of Physics.
75 F. Colombo, I. Sabadini, F. Sommen:
The inverse Fueter mapping theorem,
Communication on Pure and Applied Analysis, 10 (2011), 1165-1181.
76 F. Colombo, Y. Aharonov,  I. Sabadini, D.C. Struppa, J. Tollaksen:
Some mathematical properties of  superoscillations,
Journal of Physics A: Mathematical and  Theoretical,   44 (2011), 365304 (16pp). 
77 F. Colombo, J. O. Gonzalez-Cervantes, I. Sabadini:
The Bergman-Sce transform for slice monogenic functions,
Mathematical Methods in the Applied Sciences,  34 (2011), 1896- 1909.
78 F. Colombo, I. Sabadini:
The  F-spectrum and the SC-functional calculus,
Proceedings of the Royal Society of Edinburgh, Section A, 142  (2012), 479-500.            
79 F. Colombo,  M. E. Luna-Elizarraras, I. Sabadini, M. Shapiro, D.C. Struppa:
A quaternionic treatment of the inhomogeneous div-rot system,
Moscow Mathematical Journal,  12 (2012), 37-48.
80 F. Colombo, M.E. Luna-Elizarraras,  I. Sabadini, M.V. Shapiro , D.C. Struppa:
Integral conditions for the vanishing of cohomology of open sets in C^n,
Advances in Geometry,  12  (2012), 191--201.
81 F. Colombo, J. O. Gonzalez-Cervantes, I. Sabadini,
On slice biregular functions and isomorphisms of Bergman spaces,
Complex Variables and Elliptic Equations,   57  (2012),  825-839.
82 F. Colombo, I. Sabadini:
An invitation to the S-functional calculus,
in Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations
Operator Theory: Advances and Applications,  221 (2012), 241-254.
83 D. Alpay, F. Colombo, I. Sabadini:
Schur functions and their realizations in the slice hyperholomorphic setting,
Integral Equations and Operator Theory,  72 (2012), 253-289.
84 F. Colombo,  I. Sabadini, D.C. Struppa:
Duality theorems in the Hermitian setting,

Journal of Mathematical Analysis and its Applications, 390 (2012), 47-58.
85 F. Colombo, I. Sabadini:
On some notions of spectra for quaternionic operators and for n-tuples of operators,

C. R. Acad. Sci. Paris, Ser. I, 350 (2012), 399-402.
86 F. Colombo, I. Sabadini, F. Sommen:
An overview on the Inverse Fueter Mapping Theorem,
Amer. Inst. Phys.  Conf. Proc.: AIP Conf. Proc. 1479, 279 (2012).
87 D. Alpay, F. Colombo, I. Sabadini:
Schur analysis in the slice hypercomplex setting,
Amer. Inst. Phys.  Conf. Proc.:  AIP Conf. Proc. 1479, 325 (2012).
88 F. Colombo, I. Sabadini, D. C. Struppa:
Sheaves of  slice regular functions,
Mathematische Nachrichten,  285 (2012), 949-958.
89 Y. Aharonov, F. Colombo,  I. Sabadini, S. Nussinov, D.C. Struppa, J. Tollaksen:
 Superoscillations phenomenona in SO(3),
Proceedings of the Royal Society A: Mathematical, Physical, 468 (2012), 3587-3600.
90 F. Colombo, I. Sabadini,  D. C. Struppa:
Algebraic properties of the module of slice regular functions in several quaternionic variables,
Indiana University Mathematics Journal, 61 (2012), 1581--1602.
91 F. Colombo, I. Sabadini:
Some remarks on the  S-spectrum,
Complex Variables and Elliptic Equations, 58 (2013), 1--6.
92 F. Colombo, J. O. Gonzalez-Cervantes,   I. Sabadini:
A non constant coefficients differential operator associated to slice monogenic functions,
Transactions of the American Mathematical Society,  365 (2013), 303-318.
93 F. Colombo, J. O. Gonzalez-Cervantes,   I. Sabadini:
The C-property for slice regular functions and applications to the Bergman space,
Complex Variables and Elliptic Equations,  58  (2013), 1355--1372.
94 F. Colombo, I. Sabadini, F. Sommen:
The inverse Fueter mapping theorem in integral form using spherical monogenics, 
Israel Journal of Mathematics, 194 (2013), 485--505.
95 Y. Aharonov, F. Colombo,  I. Sabadini, D.C. Struppa, J. Tollaksen:
On some operators associated to   superoscillations,

Complex Analysis and Operator Theory, 
7 (2013), 1299--1310.
96 Y. Aharonov, F. Colombo,  I. Sabadini, D.C. Struppa, J. Tollaksen:
On the Cauchy problem for the Schrodinger equation with superoscillatory initial data,
Journal Mathematiques Pures Appliquees, 99 (2013), 165--173.
97 F. Colombo, J. O. Gonzalez-Cervantes, M.E. Luna-Elizarraras,  I. Sabadini, M.V. Shapiro:
On two approaches to the Bergman theory for slice regular functions,
Advances in Hypercomplex Analysis; Springer INdAM Series 1, (2013), 39--54.
98 Y. Aharonov, F. Colombo, I. Sabadini, D.C. Struppa, J. Tollaksen:
On superoscillations longevity: a windowed Fourier transform approach,
in the volume: Quantum Theory: A Two-Time Success Story, Yakir Aharonov Festschrift (2013).
99 D. Alpay, F. Colombo, I. Sabadini:
Pontryagin  De Branges Rovnyak spaces of slice hyperholomorphic functions,

Journal d'Analyse Mathematique,   121 (2013), 87--125.
100 D. Alpay, F. Colombo, I. Sabadini:
Krein-Langer factorization and related topics in the slice hyperholomorphic setting,
Journal of  Geometric Analysis, (2014).
101 F. Colombo, I. Sabadini, F. Sommen:
The Fueter  primitive of biaxially monogenic functions,

Communication on Pure and Applied Analysis, 13 (2014), 657--672.
102 F. Colombo, I. Sabadini, F. Sommen,  D. C. Struppa:
Twisted plane wave expansions using hypercomplex methods,
Publications of the Research Institute for Mathematical Sciences (Kyoto University), 50 (2014), 1--18.
103 F. Colombo, I. Sabadini,  D. C. Struppa:
Bicomplex holomorphic functional calculus,
to appear in  Mathematische Nachrichten
104 F. Colombo,  J. O. Gonzalez-Cervantes, I. Sabadini:
Some integral representations for slice hyperholomorphic functions,
to appear in Moscow Mathematical Journal.
105 D. Alpay, F. Colombo,  I. Sabadini:
Inner product spaces and Krein spaces in the quaternionic setting,
in  Recent advances in inverse scattering, Schur analysis and stochastic processes.
A collection of papers dedicated to Lev Sakhnovich, Operator Theory Advances and Applications.
Linear Operators and Linear Systems, 2014
106 D. Alpay,  F. Colombo,  I. Sabadini:
On some notions of convergence for n-tuples of operators,

to appear in Mathematical Methods in the Applied Sciences.
107 D. Alpay, F. Colombo,  I. Sabadini:
 Schur analysis in the slice hyperholomorphic setting,
to appear in Springer References.
108 D. Alpay, V. Bolotnikov, F. Colombo,  I. Sabadini:
Self-mappings of the quaternionic unit ball: multiplier properties, Schwarz-Pick inequality, 
and Nevanlinna--Pick interpolation problem,
to appear in Indiana University Mathematics Journal.
109 D. Alpay,  F. Colombo,  I. Sabadini:
Perturbation of the generator of a quaternionic evolution operator,
to appear in Analysis and Applications.
110 F. Colombo,  F. Sommen,
Distributions and the global operator of slice monogenic functions,
to appear Complex Analysis and Operator Theory.
111 F. Colombo,  I. Sabadini:
Slice hyperholomorphic functional calculi,
Springer References.
112 D. Alpay, F. Colombo,  I. Sabadini, G. Salomon:
The Fock space in the slice hyperholomorphic setting,
to appear in Trends in Mathematics vol. ISAAC.
113 D. Alpay,  F. Colombo, J. Gantner, I. Sabadini:
A new resolvent equation for the S-functional calculus,
to appear in Journal of  Geometric Analysis.