Publication List

75: Some properties of the higher spin Laplace operator, with Chao Ding, accepted for publication in Transactions of the American Mathematical Society.

74: Construction of arbitrary order conformally invariant operators in higher spin spaces with Chao Ding and Raymond Walter, Journal of Geometric Analysis, 27, 2017, 2418-2452.

73: Spherical Pi operators in Clifford analysis and applications with Wanqing Cheng and Uwe Kaehler, Complex Analysis and Operator Theory, 11, 2017, 1095-1112.

72: Higher order fermionic and bosonic operators on cylinders and Hopf manifolds with Chao Ding and Raymond Walter, Journal of Indian Mathematical Society, 83, 2016, 231-240.

71: Plemelj formulas for Rarita-Schwinger type operators with Junxia Li, Advances in Applied Clifford Algebras, 24, 2014, 1093-1104.

70: Some Rarita-Schwinger type operators with Charles Dunkl, Junxia Li and Peter VanLancker, CMFT (Computational Methods and Function Theory), 13, 2013, 397-424.

69: Rarita-Schwinger type operators on some conformally flat manifolds, with Junxia Li and Carmen Judith Vanegas, Interactions Between Real and Complex Analysis, Le Hung Son et al, editors, Science and Technics Publishing House, Hanoi, Vietnam, 2012, 84-110.

68: Rarita-Schwinger type operators on spheres and real projective space , with Junxia Li and Carmen Judith Vanegas, Archivum Mathematicum, 48, 2012, 271-289.

67: Rarita-Schwinger type operators on cylinders, with Junxia Li and Carmen Vanegas, Advances in Applied Clifford Algebra, 22, 2012, 771-788.

66: Some operators associated to Rarita-Schwinger type operators, with Junxia Li, Complex Variables and Elliptic Equations, 57, 2012, 885-902.

65: Hyperbolic Dirac and Laplace operators on examples of hyperbolic spin manifolds, with D. Constales and R. S. Krausshar, Houston Journal of Mathematics, 38, 2012, 405-420.

64: The infinite Dirac operator, with Thomas Bieske, Journal of Physics, Conference Series, 254, 2010.

63: Dirac type operators for spin manifolds assocciated to congruence subgroups of generalized modular groups, with Elizabeth Bulla, D. Constales and R. S. Krausshar, Journal fur die reine und angewandte Mathematik (Crelle's Journal), 643, 2010, 1-19.

62: The intrinsic pi-operator on domain manifolds in $\mahbb{C}^{n}$, with Dejenie Lakew, Complex Analysis and Operator Theory, 4, 2010, 271-280.

61: p-Dirac operators, with Craig Nolder, Advances in Applied Clifford Algebra, 19, 2009, 391-402.

60: Some sharp L^2 inequalities for Dirac type operators, with Alexander Balinsky, Symmetry, Integrability and Geometry: Methods and Application, (SIGMA), 3, 114, 11 pages, 2007.

59: Aspects of Dirac operators in analysis, with Michael G. Eastwood, Milan Journal of Mathematics, 75, 2007, 91-116.

58: Monogenic functions in conformal geometry, Symmetry, Integrability and Geometry: Methods and Applications, (SIGMA), with Michael. G. Eastwood, 3, 84, 2007, 14 pages.

57: k-hypermonogenic automorphic forms, with D. Constales and R. S. Krausshar, Journal of Number Theory, 126, 2007, 254-271..

56: Some conformally flat spin manifolds, Dirac operators and automorphic forms, with R. S. Krausshar, Journal of Mathematical Analysis and its Applications, 325, 2007, 359-376.

55: Function theory for Laplace and Dirac-Hodge operators in hyperbolic space, with Yuying Qiao, Swanhild Bernstein and S.-L. Eriksson, Journal D'Analyse Mathematique, 98, 2006, 43-64.

54: Orthogonal projections on hyperbolic space, with Qiao Yuying, "Harnonic Analysis, Signal Processing and Complexity", Festschrift in honor of the 60th birthday of Carlos A. Berenstein, Progress in Mathematics, Burkhauser, 2005, 111-120.

53: Harmonic, monogenic and hypermonogenic functions on some conformally flat manifolds in R^n arising from special arithmetic groups of the Vahlen group, with R. S. Krausshar and Qiao Yuying, Contemporary Mathematics, 370, 2005, 159-173..

52: Clifford and harmonic analysis on cylinders and tori, with R. S. Krausshar, Revista Matematica Iberoamericana, 21, 2005, 87-110.

51: Cauchy kernels for some conformally flat manifolds, Advances in Analysis and Geometry, New Developments Using Clifford Algebras, edited by Tao Qian et al, Trends in Mathematics, Birkhauser, Basel, 149-160, 2004.

50: Introductory Clifford analysis, chapter three of the seven chapter volume Lectures on Clifford (Geometric) Algebras and Applications, edited by R. Ablamowicz and G. Sobczyk, Birkauser Press, 2003.

49: Complete function systems and decomposition results arising in Clifford analysis with Dejenie Lakew, Computational Methods and Function Theory, 2, 2002, 215-228.

48: Clifford analytic complete function systems for unbounded domains with Dejenie Lakew, Mathematical Methods in the Applied Sciences, 25, 2002, 1527-1539.

47: Clifford analysis techniques for spherical PDE with Hong Liu, Journal of Fourier Analysis and its Applications  Download Latex file, 8, 2002, 535-564.

46: $C^2$ extensions of analytic functions defined in the complex plane, Advances in Applied Clifford Algebra, 11, 2002, 137-145.   Download Latex file

45: The conformal Laplacian on spheres and hyperbolas via Clifford analysis with Hong Liu, Clifford Analysis and its Applications, edited by F. Brackx et al, Kluwer, 2001, 255-266.

44: Plemelj projection operators over domain manifolds, Mathematische Nachrichten, 223, 2001, 89-102.  Download Latex file

43: Fourier theory and Moebius transformations with Xinhua Ji and Tao Qian, Clifford Algebras and their Applications in Mathematical Physics, Volume 2: Clifford Analysis, 57-80, Progress in Physics, Birkhauser, 2000.

42: Basic Clifford analysis an invited review article for the journal Cubo Matematica Educacional, 2, 2000, 226-256.

41: Dirac operators, conformal transformations and aspects of classical harmonic analysis, Journal of Lie Theory, 8, 1998, 67-82.

40: A decomposition theorem in Clifford analysis, Journal of Operator Theory, 39, 1998, 297-308.

39: Clifford analysis on spheres and hyperbolae, Mathematical Methods in the Applied Sciences, 20, 1997, 1617-1624.

38: Clifford analysis and Hardy 2-spaces on spheres and hyperbolae, Proceedings of the Symposium on Analytical and Numerical Methods in Quaternionic and Clifford analysis, Seiffen, edited by W. Sproessig and K. Guerlebeck, Technical University of Freiberg, 1997, 153-158.

37: Clifford analysis over unbounded domains, with Klaus Guerlebeck, Uwe Kaehler and Wolfgang Sproessig, Advances in Applied Mathematics 19, 1997, 216-239.

36: Bounded monogenic functions on unbounded domains, with Edwin Franks, Contemporary Mathematics, 212, 1997, 71-80.

35: Dirac operators on spheres and hyperbolae Bolletin de la Sociedad Matematica a Mexicana, 3, 1996, 255-270.

34: The spherical Fourier transform, Proceedings of the Conference on Quaternionic Structures in Mathematics and Physics, Trieste, Italy, SISSA, 1996, 277-289.

33: Conformal transformations and Hardy spaces arising in Clifford analysis, with Tao Qian, Journal of Operator Theory, 35, 1996, 349-372.

32: Some applications of conformal covariance in Clifford analysis, Clifford Algebras in Analysis and Related Topics, CRC Press, 129-156, 1996.

31: Intrinsic Dirac operators in C^{n} Advances in Mathematics, 118, 1996, 99-133.

30: Conformally covariant operators in Clifford analysis, Zeitschrift fur Analysis und ihre Anwendungen, 14, 1995, 677-704.

29: Cauchy-Green type formulae in Clifford analysis Transactions of the American Mathematical Society, 347, 1995, 1331-1341.

28: The conformal covariance of Huygens' principle-type integral formulae in Clifford analysis Clifford Algebras and Spinor Structures, Kluwer, 1995, 301-310.

27: Intertwining operators for iterated Dirac operators over Minkowski-type spaces Journal of Mathematical Analysis and its Applications, 177, 1993, 1-23.

26: Generalized Schwarzian derivatives for generalized fractional linear transformations, Annales Polonici Mathematici, LVII, 1992, 29-44.

25: Plemelj formulae and transformations associated to plane wave decompositions in complex Clifford analysis, Proceedings of the London Mathematical Society, 64, 1992, 70-94.

24: Applications of Clifford analysis to axially symmetric partial differential equations, Complex Variables: Theory and Application, 16, 1991, 137-151.

23: Complex Clifford Analysis and domains of holomorphy, Journal of the Australian Mathematical Society, Series A, 48, 1990, 413-433.

22: Cells of harmonicity and generalized Cauchy integral formulae, Proceedings of the London Mathematical Society, 60, 1990, 413-433.

21: Iterated Dirac operators in C^{n}, Zeitschrift fur Analysis und ihre Anwendungen, 9, 1990, 385-401.

20: Inner product algebras and the function theory of associated Dirac operators, Proceedings of the Centre for Mathematical Analysis, Australian National University, 24, 1989, 213-226.

19: Dirac operators, Schrodinger type operators and Huygens' principle, Journal of Functional Analysis, 87, 1989, 321-347.

18: Domains of holomorphy as initial data for Dirac operators in $C^{n}$, Proceedings of the XVII International Conference on Differential Geometric Methods in Theoretical Physics, World Scientific, 1989, 281-291.

17: Clifford matrices, Cauchy Kowaleski extensions and analytic functionals, Proceedings of the Centre for Mathematical Analysis, Australian National University, 16, 1988, 284-299.

16: Iterated Dirac operators and conformal transformations in R^{n}, Proceedings of the XV International Conference on Differential Geometric Methods in Theoretical Physics, World Scientific, 1987, 390-399.

15: Hypercomplex algebras, hypercomplex analysis and conformal invariance, Compositio Mathematica, 61, 1987, 61-80.

14: Applications of complex Clifford analysis to the study of solutions to generalized Dirac and Klein-Gordon equations with holomorphic potential, Journal of Differential Equations, 67, 1987, 295-329.

13: Runge approximation theorems arising in complex Clifford analysis, together with some application Journal of Functional Analysis, 70, 1987, 221-253.

12: Complex Clifford analysis over the Lie ball, Conformal Groups and Related Symmetries, Physical Results and Mathematical Background, Springer Verlag Lecture Notes in Physics, 261, 1986, 216-224.

11: Left regular polynomials in even dimensions and tensor products of Clifford algebras, Clifford Algebras and their Applications in Mathematical Physics, NATO ASI Series, Reidel C 183, 1986, 133-147.

10: Conformal Clifford manifolds arising in Clifford analysis, Proceedings of the Royal Irish Academy, 85A, 1985, 1-23.

9: Duality in complex Clifford analysis, Journal of Functional Analysis, 61, 1985, 117-135.

8: Properties of isolated singularities of some functions taking values in real Clifford algebras, Mathematical Proceedings of the Cambridge Philosophical Society, 95, 1984, 277-298.

7: Extensions of Clifford analysis to complex, finite dimensional, associative algebras with identity, Proceedings of the Royal Irish Academy, 84A, 1984, 37-50.

6: Hilbert modules with reproducing kernels within complex Clifford analysis, Mathematical Structures-Computational Mathematics_Mathematical Modeling, 2, 1984, 273-278. An invited paper to a special volume in honour of L. Iliev.

5: Cauchy-Kowalewski extension theorems and representations of analytic functionals acting over special classes of real n-dimensional submanifolds of $C^{n+1}$, Supplimento di Rendiconti del Circolo Mathematics di Palermo, Serie II, 1984, 249-262.

4: Special functions and relations in complex Clifford analysis, Complex Variables: Theory and Application, 2, 1983, 177-198.

3: Singularities and Laurent expansions in complex Clifford analysis, Applicable Analysis, 16, 1983, 33-49.

2: Complexified Clifford analysis, Complex Variables: Theory and Application, 1, 1982, 119-149.

1: Clifford analysis with generalized elliptic and quasi-elliptic functions, Applicable Analysis, 13, 1982, 151-171.

Edited Volumes

5: Clifford Analysis, edited with Daniele Struppa, a special issue of Advances in Applied Clifford Algebra, vol 11.

4: Open Problems in Clifford Analysis and its Applications, edited with Daniele Struppa, Advances in Applied Clifford Algebra, 11, 1-36.  Download Latex file

3: Clifford Algebras and their Applications in Mathematical Physics, Volume 2: Clifford Analysis, edited with Wolfgang Sproessig, Progress in Physics, Birkhauser, 2000, ISBN 0-8176-4183-1.

2: Dirac Operators in Analysis, edited with Daniele Struppa, Pitman Research Notes in Mathematics, No 394, 1998, ISBN 0-582-35681-4.

1: Clifford Algebras in Analysis and Related Topics, editor, Studies in Advanced Mathematics, CRC Press, 1996, ISBN 0-8493-8481-8.