Frank Sommen

Articles in Scholarly Journals [Incomplete List]

  1. The Hermitian Clifford Analysis Toolbox
    Advances in Applied Clifford Algebras, 2008
  2. Fundamental solutions for the super Laplace and Dirac operators and all their natural powers
    Journal of Mathematical Analysis and Applications, vol. 338, no. 2, pp. 1320–1328, 2008
  3. Two-index Clifford–Hermite polynomials with applications in wavelet analysis
    Journal of Mathematical Analysis and Applications, vol. 341, no. 1, pp. 120–130, 2008
  4. A Boundary Value Problem for Hermitian Monogenic Functions
    Boundary Value Problems, vol. 2008, Article ID 385874, 7 pages, 2008
  5. Generalized Moisil-Théodoresco Systems and Cauchy Integral Decompositions
    International Journal of Mathematics and Mathematical Sciences, vol. 2008, Article ID 746946, 19 pages, 2008
  6. A Clifford analysis approach to superspace
    Annals of Physics, vol. 322, no. 12, pp. 2978–2993, 2007
  7. Spherical harmonics and integration in superspace
    Journal of Physics A: Mathematical and Theoretical, vol. 40, no. 26, pp. 7193–7212, 2007
  8. Hermite and Gegenbauer polynomials in superspace using Clifford analysis
    Journal of Physics A: Mathematical and Theoretical, vol. 40, no. 34, pp. 10441–10456, 2007
  9. Codimension-p Paley–Wiener theorems
    Arkiv för Matematik, vol. 45, no. 1, pp. 179–196, 2007
  10. Quaternionic Clifford Analysis: The Hermitian Setting
    Complex Analysis and Operator Theory, vol. 1, no. 1, pp. 97–113, 2007
  11. Fundaments of Hermitean Clifford Analysis Part I: Complex Structure
    Complex Analysis and Operator Theory, vol. 1, no. 3, pp. 341–365, 2007
  12. Martinelli-Bochner formula using Clifford analysis
    Archiv der Mathematik, vol. 88, no. 4, pp. 358–363, 2007
  13. On the Schwarz reflection principle for monogenic functions
    Archiv der Mathematik, vol. 89, no. 2, pp. 170–184, 2007
  14. On the Structure of Harmonic Multi-Vector Functions
    Advances in Applied Clifford Algebras, vol. 17, no. 3, pp. 395–410, 2007
  15. Sampling with Bessel Functions
    Advances in Applied Clifford Algebras, vol. 17, no. 3, pp. 519–536, 2007
  16. Correct Rules for Clifford Calculus on Superspace
    Advances in Applied Clifford Algebras, vol. 17, no. 3, pp. 357–382, 2007
  17. Discrete Dirac Operators in Clifford Analysis
    Advances in Applied Clifford Algebras, vol. 17, no. 3, pp. 451–467, 2007
  18. Duality for Harmonic Differential Forms Via Clifford Analysis
    Advances in Applied Clifford Algebras, vol. 17, no. 4, pp. 589–610, 2007
  19. Hermitean Clifford-Hermite Polynomials
    Advances in Applied Clifford Algebras, vol. 17, no. 3, pp. 311–330, 2007
  20. Partial Primitives for Clifford Algebra-Valued Functions
    Advances in Applied Clifford Algebras, vol. 17, no. 3, pp. 411–424, 2007
  21. The Isotonic Cauchy Transform
    Advances in Applied Clifford Algebras, vol. 17, no. 2, pp. 145–152, 2007
  22. Fischer decomposition and special solutions for the parabolic Dirac operator
    Mathematical Methods in the Applied Sciences, vol. 30, no. 9, pp. 1057–1069, 2007
  23. A Martinelli–Bochner formula for the Hermitian Dirac equation
    Mathematical Methods in the Applied Sciences, vol. 30, no. 9, pp. 1049–1055, 2007
  24. The Mehler Formula for the Generalized Clifford–Hermite Polynomials
    Acta Mathematica Sinica, English Series, vol. 23, no. 4, pp. 697–704, 2006
  25. Hyperbolic L 2–modules with Reproducing Kernels
    Acta Mathematica Sinica, English Series, vol. 22, no. 3, pp. 935–944, 2006
  26. Clifford-Hermite-monogenic operators
    Czechoslovak Mathematical Journal, vol. 56, no. 4, pp. 1301–1322, 2006
  27. The Two-Dimensional Clifford-Fourier Transform
    Journal of Mathematical Imaging and Vision, vol. 26, no. 1-2, pp. 5–18, 2006
  28. A Generalization of Fueter’s Theorem
    Results in Mathematics, vol. 49, no. 3-4, pp. 301–311, 2006
  29. An alternative proof of Fueter's theorem
    Complex Variables and Elliptic Equations, vol. 51, no. 8, pp. 913–922, 2006
  30. Curved Radon transforms and factorization of the Veronese equations in Clifford analysis
    Complex Variables and Elliptic Equations, vol. 51, no. 5, pp. 511–545, 2006
  31. Hypergeometric functions and the ultrahyperbolic Dirac operator
    Integral Transforms and Special Functions, vol. 17, no. 12, pp. 833–843, 2006
  32. The photogenic Cauchy transform
    Journal of Geometry and Physics, vol. 54, no. 3, pp. 339–354, 2005
  33. On a bi-axial system related to the hyperbolic Dirac equation
    Integral Transforms and Special Functions, vol. 16, no. 1, pp. 1–11, 2005
  34. Clifford algebra-valued orthogonal polynomials in Euclidean space
    Journal of Approximation Theory, vol. 137, no. 1, pp. 108–122, 2005
  35. Parabolic Dirac operators and the Navier-Stokes equations over time-varying domains
    Mathematical Methods in the Applied Sciences, vol. 28, no. 14, pp. 1715–1724, 2005
  36. The Clifford-Fourier Transform
    Journal of Fourier Analysis and Applications, vol. 11, no. 6, pp. 669–681, 2005
  37. The inverse Radon transform and the fundamental solution of the hyperbolic Dirac equation
    Mathematische Zeitschrift, vol. 247, no. 4, 2004
  38. On the generalized Cauchy transform of power functions
    Archiv der Mathematik, vol. 83, no. 1, 2004
  39. The Clifford-Gegenbauer polynomials and the associated continuous wavelet transform
    Integral Transforms and Special Functions, vol. 15, no. 5, pp. 387–404, 2004
  40. Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space
    International Journal of Mathematics and Mathematical Sciences, vol. 2004, no. 52, pp. 2761–2772, 2004
  41. The Higher Dimensional Hermite Transform: A New Approach
    Complex Variables, vol. 48, no. 3, pp. 189–210, 2003
  42. Chinese Annals of Mathematics, vol. 24, no. 2, p. 133, 2003
  43. Complexes of Dirac operators in Clifford algebras
    Mathematische Zeitschrift, vol. 239, no. 2, pp. 293–320, 2002
  44. Benchmarking of Three-Dimensional Clifford Wavelet Functions
    Complex Variables, vol. 47, no. 7, pp. 577–588, 2002
  45. Annals of Global Analysis and Geometry, vol. 21, no. 3, pp. 215–240, 2002
  46. Foundations of Physics Letters, vol. 15, no. 6, pp. 507–522, 2002
  47. On conjugate harmonic functions in Euclidean space
    Mathematical Methods in the Applied Sciences, vol. 25, no. 16-18, pp. 1553–1562, 2002
  48. The spherical X-ray transform
    Mathematical Methods in the Applied Sciences, vol. 25, no. 16-18, pp. 1493–1507, 2002
  49. Clifford-Bessel wavelets in Euclidean space
    Mathematical Methods in the Applied Sciences, vol. 25, no. 16-18, pp. 1479–1491, 2002
  50. Clifford analysis on projective hyperbolic space II
    Mathematical Methods in the Applied Sciences, vol. 25, no. 16-18, pp. 1465–1477, 2002
  51. Hermitian Clifford analysis and resolutions
    Mathematical Methods in the Applied Sciences, vol. 25, no. 16-18, pp. 1395–1413, 2002
  52. Rarita–Schwinger Type Operators in Clifford Analysis
    Journal of Functional Analysis, vol. 185, no. 2, pp. 425–455, 2001
  53. Clifford-hermite wavelets in euclidean space
    The Journal of Fourier Analysis and Applications, vol. 6, no. 3, pp. 299–310, 2000
  54. Clifford analysis in two and several vector variables
    Applicable Analysis, vol. 73, no. 1, pp. 225–253, 1999
  55. On the singular Bochner-Martinelli integral
    Integral Equations and Operator Theory, vol. 32, no. 3, pp. 354–365, 1998
  56. Homogeneous monogenic functions in euclidean space
    Integral Transforms and Special Functions, vol. 7, no. 3, pp. 285–298, 1998
  57. Inverse Problems, vol. 14, no. 3, pp. 615–633, 1998
  58. Special Bi-Axial Monogenic Functions
    Journal of Mathematical Analysis and Applications, vol. 185, no. 1, pp. 189–206, 1994
  59. Axial Monogenic Functions from Holomorphic Functions
    Journal of Mathematical Analysis and Applications, vol. 179, no. 2, pp. 610–629, 1993
  60. SO(m)-invariant differential operators on Clifford algebra-valued functions
    Foundations of Physics, vol. 23, no. 11, pp. 1491–1519, 1993
  61. Lie groups as spin groups
    Journal of Mathematical Physics, vol. 34, no. 8, p. 3642, 1993
  62. An explicit realization of spinor spaces and its application to clifford analysis
    Applicable Analysis, vol. 45, no. 1, pp. 95–115, 1992
  63. Monogenic Differential Calculus
    Transactions of the American Mathematical Society, vol. 326, no. 2, p. 613, 1991
  64. Spherical monogenics on the Lie sphere
    Journal of Functional Analysis, vol. 92, no. 2, pp. 372–402, 1990
  65. Special functions in Clifford analysis and axial symmetry
    Journal of Mathematical Analysis and Applications, vol. 130, no. 1, pp. 110–133, 1988
  66. On Distributional Boundary Values and the Zeros of Harmonic Functions
    Journal of the London Mathematical Society, vol. s2-31, no. 3, pp. 549–554, 1985