Papers

Curriculum Vitae Scientific Publications (15 selected in years 2011-2020) - Scientific Publications (complete list)

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ResearcherID (G-9198-2012) Scopus

orcid.org/0000-0002-4312-9504

• Wirtinger operators for functions of several quaternionic variables , 2022,
  submitted, arxiv.org/abs/2212.10868

• Slice function theory of several quaternionic variables
  (in a nutshell), 2022.

• Cauchy-Riemann operators and local slice analysis over real alternative algebras,
  Journal of Mathematical Analysis and Applications, 516 (2022) 126480 arxiv.org/abs/2201.09981 DOI 10.1016/j.jmaa.2022.126480
  

• A local Cauchy integral formula for slice-regular functions,
  Computational Methods and Function Theory (2023) DOI: 10.1007/s40315-023-00485-5
  arxiv.org/abs/2105.07041

• Eigenvalue problems for slice functions,
  joint work with Rolf Sören Krausshar, to appear in Ann. Mat. Pura e Appl., 201:2519–2548 (2022), DOI: 10.1007/s10231-022-01208-8
  arxiv.org/abs/2103.14868, 2021

• Slice regular functions in several variables,
  joint work with R. Ghiloni, Mathematische Zeitschrift 302(1):295–351 (2022), DOI 10.1007/s00209-022-03066-9
  arxiv.org/abs/2007.14925, 2020

• Slice regular functions and orthogonal complex structures over R^8 , 2020,
  joint paper with R. Ghiloni and C. Stoppato, J. Noncommut. Geom. 16 (2022), no. 2, pp. 637–676, DOI: 10.4171/JNCG/452
  arxiv.org/abs/2109.12902

• Almansi Theorem and Mean Value Formula for Quaternionic Slice-regular Functions,
  Advances in Applied Clifford Algebras (2020), Volume 30, issue 4, DOI: 10.1007/s00006-020-01078-4

• Almansi-type theorems for slice-regular functions on Clifford algebras,
  Complex Variables and Elliptic Equations 66:8, 1287-1297 (2020), DOI: 10.1080/17476933.2020.1755967,
  

• A Quaternionic Bernstein Theorem, Mediterranean Journal of Mathematics, (2023) 20:154 DOI: 10.1007/s00009-023-02362-w,
  arxiv.org/abs/1903.03068 (2019)

• On a class of orientation-preserving maps of R^4,
  joint work with R. Ghiloni, Journal of Geometric Analysis 31:2383–2415 (2021), DOI:10.1007/s12220-020-00356-8
  arxiv.org/abs/1902.11227 (2019)

• A four dimensional Jensen formula, Riv. Math. Univ. Parma (N.S.), Vol.11, no.1, 2020, pp.139-152
  arxiv.org/abs/1902.06485 (2019)

• Division algebras of slice functions
  joint work with R. Ghiloni and C. Stoppato, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 150(4), 2055-2082 (2020), DOI:10.1017/prm.2019.13
  arXiv:1711.06604

• Slice regularity and harmonicity on Clifford algebras. In: Bernstein S. (eds) Topics in Clifford Analysis. Trends in Mathematics. Birkhäuser, Cham, ISBN 978-3-030-23854-4_3 (eBook), 978-3-030-23853-7 (Hardcover), pp.53-73, DOI:10.1007/978-3-030-23854-4_3, arxiv.org/abs/1801.03045 (2019)

• The quaternionic Gauss-Lucas Theorem
  joint work with R. Ghiloni, Annali di Matematica Pura ed Applicata Volume 197, Issue 6, 2018, pp 1679–1686, DOI: 10.1007/s10231-018-0742-z (FTHD presentation)
  arxiv.org:1712.00744.

• Spectral representations of normal operators via Intertwining Quaternionic Projection Valued Measures
  joint work with R. Ghiloni e V. Moretti, arXiv:1602.02661 (2016), Reviews in Mathematical Physics, Vol. 29, No. 10 (2017) 1750034 (73 pages), DOI: 10.1142/S0129055X17500349 arXiv:1602.02661

• The algebra of slice functions
  joint work with R. Ghiloni and C. Stoppato, Trans. of Amer. Math. Soc., Volume 369, N.7, 2017, pp.4725-4762, electronically published on November 28, 2016 DOI:10.1090/tran/6816, arXiv:1506.03749

• Singularities of slice regular functions over real alternative *-algebras
  joint work with R. Ghiloni and C. Stoppato, Advances in Mathematics, Volume 305, 2017, pp.1085–1130, electronically published on October 13, 2016 DOI:10.1016/j.aim.2016.10.009 arXiv:1606.03609

• Noncommutative Cauchy Integral Formula
  joint work with R. Ghiloni e V. Recupero, Complex Analysis and Operator Theory, Vol. 11, Issue 2, pp 289–306 (2017), DOI: 10.1007/s11785-016-0543-6, arxiv:1409.8455 (2016)

• Lagrange polynomials over Clifford numbers
  joint work with R. Ghiloni, Journal of Algebra and its Applications, Vol. 14, No. 5, 1550069 (11 pages) (2015) DOI: 10.1142/S0219498815500693 arxiv:1404.7782

• Slice Functional Calculus in Quaternionic Hilbert Spaces
  joint work with R. Ghiloni and V. Moretti, in Current Trends in Analysis and its Applications - Proceedings of the 9th ISAAC Congress, Kraków 2013, Trends in Mathematics, Eds.: Vladimir Mityushev & Michael Ruzhansky, Birkhauser, ISBN 978-3-319-12576-3, Pages 475-484, 2015, DOI: 10.1007/978-3-319-12577-0_53

• Power and spherical series over real alternative *-algebras
  joint work with R. Ghiloni, Indiana University Mathematics Journal, Vol. 63, No. 2, Pages 495-532 (2014), DOI:10.1512/iumj.2014.63.5227

• Spectral properties of compact normal quaternionic operators
  joint work with R. Ghiloni and V. Moretti, arXiv:1402.2935 in Hypercomplex Analysis: New perspectives and applications, Trends in Mathematics, Eds.: Bernstein, S., Kähler, U., Sabadini, I., Sommen, F., Birkhauser, ISBN 978-3-319-08771-9, Pages 133-143, 2014 DOI: 10.1007/978-3-319-08771-9_9

• Global differential equations for slice regular functions
  joint work with R. Ghiloni, Mathematische Nachrichten, 287, No. 5-6, Pages 561-573, 2014, DOI: 10.1002/mana.201200318

• Continuous slice functional calculus in quaternionic Hilbert spaces
  joint work with R. Ghiloni e V. Moretti, arXiv:1207.0666v2, Reviews in Mathematical Physics, Vol. 25, No. 4 (2013), pp.1350006-1-1350006-83 DOI:10.1142/S0129055X13500062

• Slice regular functions of several Clifford variables
  joint work with R. Ghiloni, Proceedings of ICNPAA 2012 - Workshop "Clifford algebras, Clifford analysis and their applications", AIP Conf. Proc. 1493, pp. 734-738, 2012 DOI:10.1063/1.4765569

• Volume Cauchy formulas for slice functions on real associative *-algebras
  joint work with R. Ghiloni, Complex Variables and Elliptic Equations, Volume 58, Issue 12, 2013, Pages 1701-1714, DOI:10.1080/17476933.2012.709851

• Fueter regularity and slice regularity: meeting points for two function theories,
  contribution to the volume "Advances in Hypercomplex Analysis" (eds. G.Gentili, I.Sabadini, M.Shapiro, F.Sommen, D.Struppa), INdAM Series 1, Springer, 2013, pp.93-117, ISBN 978-88-470-2445-8 DOI: 10.1007/978-88-470-2445-8_6
  

• Slice regularity in several variables,
  joint work with R. Ghiloni. Progress in analysis. Proceedings of the 8th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Moscow, Russia, August 22--27, 2011. Volume 1, ISBN 978-5-209-04582-3/hbk, pages 179--186 (2012) Zbl 1298.30044

• The full Dirac operator on a Clifford algebra
  in K. Guerlebeck (ed.), Electronic Proceedings of The 9th International Conference on Clifford Algebras and their Applications in Mathematical Physics (ICCA9), 15-20 July 2011, Weimar, Germany, 2011

• Slice regular functions on real alternative algebras
  joint work with R. Ghiloni, Advances in Mathematics 226 (2011) pp.1662–1691 DOI: 10.1016/j.aim.2010.08.015)
  

• A new approach to slice regularity on real algebras
  joint work with R. Ghiloni,
  contribution to the volume "Hypercomplex Analysis and Applications" (eds. I.Sabadini and F.Sommen), Trends in Mathematics, Birkhauser, Basel, 2011, pp.109-124, ISBN: 978-3-0346-0245-7
  Talk ISAAC 2009 Imperial College London

• Zeros of regular functions of quaternionic and octonionic variable: a division lemma and the camshaft effect
  joint work with R. Ghiloni, Annali di Matematica Pura ed Applicata, Volume 190, Issue 3 (2011), 539-551 DOI: 10.1007/s10231-010-0162-1
  arXiv [math.CV]

• Zero sets of polynomials and slice regular functions on Clifford algebras
  Proceedings of the 18th International Conference of Finite and Infinite Dimensional Complex Analysis and Applications, 2010.

• Least energy quaternionic regular Lagrange interpolation
  Mathematical Methods in the Applied Sciences, Volume 33 Issue 4, pp.412-422 (2010) (Published Online: Jul 29 2009) DOI: 10.1002/mma.1208

• On directional Hilbert operators for regular quaternionic functions on R^3
  Advances in Applied Clifford Algebras, Vol. 20 n.3/4, pp.803-817 (2010) DOI: 10.1007/s00006-010-0223-y

• An application of biregularity to quaternionic Lagrange interpolation
  AIP Conference Proceedings, 1048. American Institute of Physics, Melville, NY, 2008, pp.691-694.
  Talk ICNAAM 2008

• Regular quaternionic functions and conformal mappings
  Cubo. A Mathematical Journal, Vol.11 n.1, pp.123-143 (2009)

• Directional quaternionic Hilbert operators
  contribution to the volume "Hypercomplex analysis" (eds. I.Sabadini, M.Shapiro and F.Sommen), series "Trends in Mathematics", Birkhauser, Basel, 2009, pp.235-258

• Boundary values of pluriholomorphic functions in C^2
  Progress in Analysis and Its Applications: Proceedings of the 7th International Isaac Congress. (London, July 2009) eds. Michael Ruzhansky and Jens Wirth, World Scientific, 2010, pp.188-194

• Every biregular function is a biholomorphic map ,
  Advances in Applied Clifford Algebras, 19 (2009), 441-451 (2009) DOI 10.1007/s00006-009-0161-8
  Talk WCAA Ghent 2007

• Dirichlet problem for pluriholomorphic functions of two complex variables (report UTM n.708, 2006)
  J. Math. Anal. Appl., Vol. 337/1, 107-115 (2008) DOI 10.1016/j.jmaa.2007.03.086

• Holomorphic functions and regular quaternionic functions on the hyperkähler space H
  MORE PROGRESSES IN ANALYSIS: Proceedings of the 5th International Isaac Congress (Catania July 2005) eds. H.G.W.Begehr, F.Nicolosi, World Scientific, 2009, pp.1009-1018
  Talk V ISAAC Congress Catania 2005 DOI 10.1142/9789812835635_0097 [arXiv:0711.4440v1]

• On regular harmonics of one quaternionic variable
  Int. J. Pure Appl. Math., Vol.26, n.1, 83-92 (2006)

• Quaternionic regular functions and the dibar–Neumann problem in C^2
  Talk 7th International Workshop on "Applications and Generalizations of Complex Analysis", Aveiro, June 4-5, 2004

• Quaternionic regularity and the dibar-Neumann problem in C^2
  Complex Variables and Elliptic Equations, Vol. 52, No. 5, 439–453 (2007),
  report UTM, n.654 (2003) [ArXiv math.CV/0612092]

• A differential criterium for regularity of quaternionic functions
  Comptes Rendus Mathematique, Volume 337, Issue 2, 89-92 (2003) (link to Science Direct)
  Seminario XVII Congresso UMI-Milano 8/9/03

• Tangential form of the trace condition for pluriharmonic functions in C^n
  Complex Variables, Vol.48, No.7, 615-623 (2003), preprint(2002) UTM n.629

• Some applications of the trace condition for pluriharmonic functions in C^n
  Publ. Mat., Vol.44, n.2, 449-456 (2000)

• Dirichlet Problem for pluriharmonic functions of several complex variables
  Communications in Partial Differential Equations, Vol.24, nn.3&4, 707-717 (1999)

• Multidimensional Residues and Ideal Membership
  Publ. Mat., Vol.42,n.1, 143-152 (1998)

• Gröbner Bases with DERIVE
  International DERIVE Journal, Vol.3,n.2, 83-98 (1996)

• C^k-regularity for the \overline\partial-equation on a piecewise smooth union of strictly pseudoconvex domains in C^n
  joint work with J. Michel, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 21, No. 4, 483-495 (1994)

• C^k-Regularity for the \overline\partial-equation on Strictly Pseudoconvex Domains with Piecewise Smooth Boundaries
  joint work with J. Michel, Math.Zeit. 203, 415-427 (1990)

• Extension of CR-Forms and Related Problems
  Rend. Sem. Mat. Univ. Padova, Vol. 77, 37-55 (1987).

• The equation \overline\partial u=f on the intersection of pseudoconvex domains
  Atti Acc. Lincei Rend. fis. - S.VIII, vol. LXXX, 495-500 (1986)

MathSciNet

Books and Software

• RegularHarmonics - a package for Mathematica 4.2 for computations with regular quaternionic functions (2004)
  (file PDF)

• Groebner.dfw - a DfW Worksheet for Gröbner Bases computation with DERIVE 6 (2004)
  (file PDF)

• Groebner.dfw - a DfW Worksheet for Gröbner Bases computation with DERIVE 5 (2003)

• Gröbner Bases with DERIVE
  International DERIVE Journal, Vol.3,n.2, 83-98 (1996)
  (Derive 3.02 file) (Derive 3.01 file) (Derive 2.58 file)

• Geometria e Algebra Lineare (teoria ed esercizi) (con M.P.Manara e R.Scapellato) Bologna: Esculapio, 2002.
  (comprende una sezione di esercizi da svolgere con l'uso di Matlab)

• Utility File for DERIVE 4.08-4.11 for the computation of Gröbner bases with DERIVE (cf. Gröbner Bases with DERIVE, International DERIVE Journal, Vol.3,n.2, 83-98 (1996))

• Algebra lineare con DERIVE (con M.P. Manara), McGraw Hill Italia, 1992 (moduli esterni per DERIVE: Ver.2 - Ver.2-5 - Ver.per DfW4.11)

• Analisi matematica con DERIVE (con B. Bacchelli e A. Lorenzi), McGraw Hill Italia, 1992 (moduli esterni per DERIVE: Ver.2)