Produzione Scientifica Alessandro Perotti


  • R. Ghiloni, A. Perotti, "Power and spherical series over real alternative *-algebras" in INDIANA UNIVERSITY MATHEMATICS JOURNAL, v. in print, (In corso di stampa) - vedi dettaglio
  • R. Ghiloni, A. Perotti, "Slice regularity in several variables", In corso di stampa. Atti di: 8th ISAAC Conference, Moscow, 22 agosto 2011- 27 agosto 2011 - vedi dettaglio
  • A. Perotti, "Zero sets of polynomials and slice regular functions on Clifford algebras", In corso di stampa. Atti di: 18th International Conference of Finite and Infinite Dimensional Complex Analysis and Applications, Macau, China, 08/2010 - vedi dettaglio
  • R. Ghiloni, V. Moretti, A. Perotti, "Continuous slice functional calculus in quaternionic Hilbert spaces" in REVIEWS IN MATHEMATICAL PHYSICS, v. 2013 - 25, n. 4 (2013), p. 1350006-1-1350006-83. - DOI: 10.1142/S0129055X13500062"> DOI:10.1142/S0129055X13500062 - vedi dettaglio
  • A. Perotti, "Fueter regularity and slice regularity: meeting points for two function theories" in G.Gentili, I.Sabadini, M.Shapiro, F.Sommen, D.Struppa (a cura di), Advances in Hypercomplex Analysis, Milano: Springer, 2013, p. 93-117. - (INdAM Series). - ISBN: 9788847024441. - DOI: 10.1007/978-88-470-2445-8_6 - vedi dettaglio
  • R. Ghiloni, A. Perotti, "Slice regular functions of several Clifford variables" in Proceedings of ICNPAA 2012, Melville: American Institute of Physics:2 Huntington Quadrangle, Suite 1NO1:Melville, NY 11747:(800)344-6902, (631)576-2287, EMAIL: subs@aip.org, INTERNET: http://www.aip.org, Fax: (516)349-9704, 2012, p. 734-738. - ISBN: 9780735411050. Atti di: ICNPAA 2012 - Workshop "Clifford algebras, Clifford analysis and their applications", Wien, 10 luglio-14 luglio 2012. - DOI: 10.1063/1.4765569 - vedi dettaglio
  • R. Ghiloni, A. Perotti, "Volume Cauchy formulas for slice functions on real associative *-algebras" in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, v. , (2012). - DOI: 10.1080/17476933.2012.709851 - vedi dettaglio
  • R. Ghiloni, A. Perotti, "A new approach to slice regularity on real algebras" in I. Sabadini, F. Sommen (a cura di), Hypercomplex Analysis and Applications, Basel: Birkhäuser, 2011, p. 109-123. - (Trends in Mathematics). - ISBN: 9783034602457. - DOI: 10.1007/978-3-0346-0246-4_8 - vedi dettaglio
  • R. Ghiloni, A. Perotti, "Slice regular functions on real alternative algebras" in ADVANCES IN MATHEMATICS, v. 226, n. 2 (2011), p. 1662-1691. - URL: http://dx.doi.org/10.1016/j.aim.2010.08.015 . - DOI: 10.1016/j.aim.2010.08.015 - vedi dettaglio
  • A. Perotti, "The full Dirac operator on a Clifford algebra" in Proceedings of the 9th International Conference on Clifford Algebras and their Applications (ICCA9), Weimar: University of Weimar, 2011. Atti di: The 9th International Conference on Clifford Algebras and their Applications, Weimar, 15-20 July 2011 - vedi dettaglio
  • R. Ghiloni, A. Perotti, "Zeros of regular functions of quaternionic and octonionic variable: a division lemma and the camshaft effect" in ANNALI DI MATEMATICA PURA ED APPLICATA, v. 190, n. 3 (2011), p. 539-551. - URL: http://dx.doi.org/10.1007/s10231-010-0162-1 . - DOI: 10.1007/s10231-010-0162-1 - vedi dettaglio
  • A. Perotti, "Boundary values of pluriholomorphic functions in C^2" in Progress in analysis and its applications : proceedings of the 7th International Isaac Congress : , Imperial College, London, UK, 13-18 July 2009, Singapore; Hackensack, NJ; London : World Scientific, 2010, p. 188-194. - ISBN: 9789814313162. Atti di: Proceedings of the 7th International Isaac Congress, London, 13rd -18th July 2009. - DOI: 10.1142/9789814313179_0025 - vedi dettaglio
  • A. Perotti, "Least energy quaternionic regular Lagrange interpolation" in MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 33, n. 4 (2010), p. 412-422. - DOI: 10.1002/mma.1208 - vedi dettaglio
  • A. Perotti, "On directional Hilbert operators for regular quaternionic functions on R^3" in ADVANCES IN APPLIED CLIFFORD ALGEBRAS, v. 20, n. 3/4 (2010), p. 803-817. - DOI: 10.1007/s00006-010-0223-y - vedi dettaglio
  • A. Perotti, "Directional quaternionic Hilbert operators" in I. Sabadini, M. Shapiro, F. Sommen (a cura di), Hypercomplex analysis, Basel: Birkhäuser, 2009, p. 235-258. - (Trends in mathematics). - ISBN: 9783764398927 - vedi dettaglio
  • A. Perotti, "Every biregular function is a biholomorphic map" in ADVANCES IN APPLIED CLIFFORD ALGEBRAS, v. 19, n. 2 (2009), p. 441-451. - DOI: 10.1007/s00006-009-0161-8 - vedi dettaglio
  • A. Perotti, "Holomorphic functions and regular quaternionic functions on the hyperkähler space H" in More progresses in analysis: proceedings of the 5th international ISAAC congress, Singapore: World scientific, 2009, p. 1009-1018. - ISBN: 9789812835628. Atti di: 5th ISAAC congress 2005, Catania, 25 - 30 July 2005 - vedi dettaglio
  • A. Perotti, "Regular quaternionic functions and conformal mappings" in CUBO, v. 11, n. 1 (2009), p. 123-143 - vedi dettaglio
  • A. Perotti, "An application of biregularity to quaternionic Lagrange interpolation" in Numerical analysis and applied mathematics, Melville, N.Y.: AIP, 2008, p. 691-694 -(AIP conference proceedings ; 1048). - ISBN: 9780735405769. Atti di: International conference on Numerical analysis and applied mathematics 2008, Psalidi, Kos, 16th-20th September 2008. - URL: http://proceedings.aip.org/journals/doc/APCPCS-home/confproceed/1048.jsp . - DOI: 10.1063/1.2991022 - vedi dettaglio
  • A. Perotti, "Dirichlet problem for pluriholomorphic functions of two complex variables" in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v. 337, n. 1 (2008), p. 107-115. - DOI: 10.1016/j.jmaa.2007.03.086 - vedi dettaglio
  • A. Perotti, "Gröbner bases in DERIVE 6" in DERIVE-NEWSLETTER, v. 2007, n. 68 (2007), p. 23-35 - vedi dettaglio
  • A. Perotti, "Quaternionic regularity and the dibar-Neumann problem in C^2" in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, v. 52, n. 5 (2007), p. 439-453. - DOI: 10.1080/17476930601178392 - vedi dettaglio
  • A. Perotti, "On regular harmonics of one quaternionic variable" in INTERNATIONAL JOURNAL OF PURE AND APPLIED MATHEMATICS, v. 26, n. 1 (2006), p. 83-92 - vedi dettaglio
  • A. Perotti, "RegularHarmonics: a Mathematica 4.2 package for computations with regular quaternionic functions", 2004, 29 p. - URL: http://www.science.unitn.it/~perotti/regular%20harmonics.htm - vedi dettaglio
  • A. Perotti, "A differential criterium for regularity of quaternionic functions" in COMPTES RENDUS MATHEMATIQUE, v. 337, n. 2 (2003), p. 89-92. - DOI: 10.1016/S1631-073X(03)00284-X - vedi dettaglio
  • A. Perotti, "Groebner.dfw - a DfW Utility File for computing Gröbner Bases in DERIVE 5", 2003, 17 p - vedi dettaglio
  • A. Perotti, "Tangential form of the trace condition for pluriharmonic functions in C^n" in COMPLEX VARIABLES THEORY AND APPLICATION, v. 48, n. 7 (2003), p. 615-623. - DOI: 10.1080/0278107031000140916 - vedi dettaglio
  • A. Perotti, "Some applications of the trace condition for pluriharmonic functions in C^n" in PUBLICACIONS MATEMÀTIQUES, v. 44, n. 2 (2000), p. 449-456. - DOI: 10.5565/PUBLMAT_44200_05 - vedi dettaglio
  • A. Perotti, "Dirichlet Problem for pluriharmonic functions of several complex variables" in COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, v. 24, n. 3-4 (1999), p. 707-717. - DOI: 10.1080/03605309908821439 - vedi dettaglio
  • A. Perotti, "Multidimensional Residues and Ideal Membership" in PUBLICACIONS MATEMÀTIQUES, v. 42, n. 1 (1998), p. 143-152. - DOI: 10.5565/PUBLMAT_42198_07 - vedi dettaglio
  • A. Perotti, "Gr÷bner Bases with Derive" in THE INTERNATIONAL DERIVE JOURNAL, v. 3, n. 2 (1996), p. 83-98 - vedi dettaglio
  • A. Perotti, J. Michel, "C^k-regularity for the /overline/partial-equation on a piecewise smooth union of strictly pseudoconvex domains in C^n" in ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE, v. IV,21, n. 5 (1994), p. 483-495 - vedi dettaglio
  • A. Perotti, J. Michel, "C^k-Regularity for the /overline/partial-equation on Strictly Pseudoconvex Domains with Piecewise Smooth Boundaries" in MATHEMATISCHE ZEITSCHRIFT, v. 203, n. 3 (1990), p. 415-427. - DOI: 10.1007/BF02570747 - vedi dettaglio
  • A. Perotti, "Extension of CR-Forms and Related Problems" in RENDICONTI DEL SEMINARIO MATEMATICO DELL'UNIVERSITA' DI PADOVA, n. 77 (1987), p. 37-55 - vedi dettaglio
  • A. Perotti, "The equation /overline/partial u=f on the intersection of pseudoconvex domains" in ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI DELLA CLASSE DI SCIENZE FISICHE, MATEMATICHE E NATURALI, v. VIII, n. LXXX (1986), p. 495-500 - vedi dettaglio