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Complex Variables and Elliptic Equations
An International Journal
Volume 51, 2006 - Issue 5-6: A tribute to Richard Delanghe
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Original Articles

New algebraic properties of biregular functions in 2n quaternionic variables

A. Damiano Department of Mathematics, George Mason University, Fairfax, VA 22030, USA
,
I. Sabadini Dipartimento di Matematica, Politecnico di Milano, Via Bonardi 9, 20133 Milan, ItalyCorrespondence[email protected]
&
D. C. Struppa Department of Mathematics and Computer Science, Chapman University, Orange, California, USA
Pages 497-510 | Accepted 15 Nov 2005, Published online: 10 Oct 2011

References

  • Colombo , F , Sabadini , I , Sommen , F and Struppa , DC . 2004 . “ Analysis of Dirac Systems and Computational Algebra ” . In Progress in Mathematical Physics , Vol. 39 , Boston : Birkhäuser .
  • Brackx , F and Pincket , W . 1986 . Domains of biregularity in Clifford analysis . Rendiconti del Circolo Matematico di Palermo , 9 : 21 – 35 .
  • Brackx , F and Pincket , W . 1984 . A Bochner–Martinelli formula for the biregular functions of Clifford analysis . Complex Variables , 4 : 39 – 448 .
  • Brackx , F and Pincket , W . 1985 . Two Hartogs theorems for nullsolutions of overdetermined systems in Euclidean space . Complex Variables , 4 : 205 – 222 .
  • Brackx , F and Pincket , W . 1986 . Series expansions for the biregular functions of Clifford analysis . Simon Stevin, The Quarterly Journal of Pure and Applied Mathematics , 60 : 41 – 55 .
  • CoCoATeam, CoCoA . A software package for COmputations in COmmutative algebra freely available online at http://cocoa.dima.unige.it (accessed November 2005)
  • Colombo , F , Damiano , A , Sabadini , I and Struppa , DC . 2005 . A surjectivity theorem for differential operators on spaces of regular functions . Complex Variables and Elliptic Equations , 50 : 389 – 400 .
  • Adams , WW , Berenstein , CA , Loustaunau , P , Sabadini , I and Struppa , DC . 1999 . Regular functions of several quaternionic variables and the Cauchy–Fueter complex . The Journal of Geometric Analysis , 9 ( 1 ) : 1 – 15 .
  • Sabadini , I , Sommen , F , Struppa , DC and Van Lancker , P . 2002 . Complexes of Dirac operators in Clifford algebras . Mathematische Zeitschrift , 239 : 293 – 320 .
  • Adams , WW , Loustaunau , P , Palamodov , VP and Struppa , DC . 1997 . Hartogs' phenomenon for polyregular functions and projective dimension of related modules over a polynomial ring . Annales de l'Institut Fourier , 47 : 623 – 640 .
  • Adams , WW and Loustaunau , P . 2001 . Analysis of the module determining the properties of regular funcions of several quaternionic variables . Pacific Journal , 196 : 1 – 15 .
  • Kreuzer , M and Robbiano , L . 2000 . Computational Commutative Algebra 1 , Berlin : Springer-Verlag .
  • Damiano , A and Mannino , S . CoAlA, A web resource for COmputational ALgebraic Analysis available online at http://www.tlc185.com/coala (accessed November 2005)
  • Palamodov , VP . 1970 . Linear Differential Operators withConstantCoefficients , New York–Berlin : Springer-Verlag .

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