CoAlA References

Computational Algebraic Analysis References

last update: April 13th 2007

contact alberto (at) tlc185.com for questions on CoAlA or to add a reference

.:HOW TO CITE CoAlA:.

* Please copy and paste this into your BiBTeX file

@MISC{coala,
title = " {\coala}, An online resource for Computational Algebraic Analysis",
author = "Damiano, A. ",
howpublished = "{\tt http://www.tlc185.com/coala}",}

* or, if you use a standard AMS bibliography,

[...] A. Damiano, \coala , An online resource for Computational Algebraic Analysis,
webpage at http://www.tlc185.com/coala.

* Your L^AT_EX macros should include the following definition:

\def\coala{\mbox{\rm C\kern-.13em o\kern-.07 em A\kern-.13em l\kern-.15em A\ }}

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.:BOOKS:.

[CSSS1]    F. Colombo and I. Sabadini and F. Sommen and D. C. Struppa
                  Analysis of Dirac Systems and Computational Algebra
                  Birkhäuser, Progress in Mathematical Physics 2004

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.:THESES:.

[Sphd]     D.C. Struppa,
               The Fundamental Principle for Systems of Convolution Equations,
               Mem. Amer. Math. Soc. 41 (1983), no. 237

[SAphd]   I. Sabadini,
                Verso una teoria delle iperfunzioni quaternioniche,
                Politecnico di Milano, in Italian   (1995)

[Dtesi] A. Damiano,

Applicazioni dell' algebra computazionale allo studio di alcuni operatori differenziali,
Università di Genova, in Italian (2001)

[Dphd]    A. Damiano,
               Computational Approach to some Problems in Algebraic Analysis,
               George Mason University, (2005)

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.:ARTICLES:. *ordered by publication year*

[Struppa] D.C. Struppa,
                Gröbner bases in partial differential equations,
                London Math. Soc. Lecture Note Ser.,
                Gröbner bases and Applications 251 (1988), 235-245, Cambridge Univ. Press.

[FGS] A. Fabiano, G. Gentili, D.C. Struppa,
Sheaves of quaternionic hyperfunctions and microfunctions,
Compl. Var.Theory Appl. 24 (1994), no. 3-4, 161-184.

[LS] P. Loustaunau, D.C. Struppa,
Applications of commutative and computational algebra to partial differential equations,
Proceedings of Advances in Scientific Complexity and Modeling (1996) 153-157.

[ALPS] W.W. Adams, P. Loustaunau, V.P. Palamodov, D.C. Struppa,
Hartogs' phenomenon for polyregular functions and projective dimension of related modules,
Ann. Inst. Fourier 47 (1997), 623-640.

[CLSS] F. Colombo, P. Loustaunau, I. Sabadini, D.C. Struppa,
Regular functions of a biquaternionic variable and the Maxwell equations,
J. Geom. Phys. 26 (1998), no. 3-4, 183-201.

[ABLSS]   W.W. Adams, C.A. and Berenstein, P. Loustaunau, I. Sabadini, D.C. Struppa,
                 Regular functions of several quaternionic variables and the Cauchy-Fueter complex,
                 J. Geom. Anal. 9 (1999), no.1, 1-15.

[ABLSS1]    W.W. Adams, C.A. Berenstein, P. Loustaunau, I. Sabadini, D.C. Struppa,
                    On compact singularities for regular functions of one quaternionic variable,
                    Compl. Var. 31 (1999), 259-270.

[CSS] F. Colombo and I. Sabadini, D.C. Struppa, Dirac equation in the octonionic algebra,
Analysis, geometry, number theory: the mathematics of Leon Ehrenpreis, (Philadelphia, PA, 1998), 117-134,
Contemp. Math. 251, Amer.Math. Soc., Providence, RI, 2000

[AL]     W.W. Adams, P. Loustaunau
            Analysis of the module determining the proprrties of regular functions of several quaternionic variables
            Pacifc J. Math. 196 (2000), no. 1, 1-15.

[SSS] I. Sabadini, M. Shapiro, D.C. Struppa,
Algebraic analysis of the Moisil-Theodorescu system,
Compl. Var. 40 (2000), 333-357.

[CSSS] F.Colombo, I.Sabadini, F.Sommen, D.C. Struppa,
Syzygies and conservation laws,
Found. Phys. Lett. 15 (2002), no. 6, 507-522.

[SSS1] I. Sabadini, F. Sommen, D.C. Struppa, ,
The Dirac complex variables: megaforms,
Exp. Math. 12 (2003), 351-364.

[SSSVL] I. Sabadini, F. Sommen, D.C. Struppa, P. Van Lancker,
Complexes of Dirac operators in Clifford algebras,
Math. Zeit. 239 (2002), no. 2, 293-320.

[SSS1] I. Sabadini, F. Sommen, D.C. Struppa,
The Dirac complex on abstract vector variables: megaforms,
Exp. Math. 12 (2003), 351-364.

[CDSS]    F. Colombo, A. Damiano, I. Sabadini, D.C. Struppa,
                  A surjectivity theorem for differential operators on spaces of regular functions,
                 Compl. Var. Theory Appl. 50 (2005), no. 6, 389-400.

[DSS] A. Damiano, I.Sabadini, D. C. Struppa,
New Algebraic Properties of Biregular Functions in $2n$ Quaternionic Variables,
Compl. Var. Theory Appl. 51 (2006), no. 5-6, 497-510.

[GS] G. Gentili, D.C. Struppa,
A new approach to Cullen-regular functions of a quaternionic variable,
C.R.Acad. Sci. Paris, Ser. I 342 (2006), 741-744.

[CSS1] F. Colombo, V. Souček, D.C. Struppa,
Invariant resolutions for several Fueter operators,
J. Geom. Phys. 56 (2006), no. 7, 1175-1191.

[BDS] J. Bureš, A. Damiano, I. Sabadini,
Explicit resolutions for the complex of several Fueter operators,
J. Geom. Phys. 57 (2007), no. 3, 765-775.

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.:PREPRINTS:.       *all the following articles have been accepted for publication and are to appear as indicated*

[DSS1] A. Damiano, I. Sabadini, D.C. Struppa,
            Computational methods for the construction of a class of noetherian operators
            Exp. Math. , (2007)

[CDSS1] F. Colombo, A. Damiano, I. Sabadini, D.C. Struppa,
            A new Dolbeault complex in quaternionic and Clifford analysis
            Proceedings ISAAC 2005, (????)

[CDSS2] F. Colombo, A. Damiano, I. Sabadini, D.C. Struppa,
Quaternionic hyperfunctions on 5-dimensional varietes in H²
(2007)

[Damiano] A. Damiano,
Algebraic analysis of the Rarita-Schwinger operator in dimension three
Rend. Circ. Mat. Palermo, (2007)

[Damiano1] A. Damiano,
Syzygies of multi-variable higher spin operators in R³
Adv. Appl. Clifford Alg., (2007)