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Showing 121-137 of 137 results

  1. Inverse scattering and Clifford analysis

    We apply a Borel-Pompeiu formula for functions in ℂ n to investigate the existence of admissible data for the inverse scattering problem in three...

    Swanhild Bernstein in Advances in Applied Clifford Algebras
    Article 01 June 2001

  2. Hypermonogenic functions and Möbius transformations

    Let Cl n be the (universal) Clifford algebra generated by e 1 , …, e n satisfying e i e j + e j e i =−2σ ij , i, j =1, …, n . The Dirac operator in Cl ...

    Sirkka-Liisa Eriksson-Bique, Heinz Leutwiler in Advances in Applied Clifford Algebras
    Article 01 June 2001

  3. On the Riemann Hilbert type problems in Clifford analysis

    In this paper boundary value problems combining Jump — Riemann and Hilbert problems for monogenic functions in Ahlfors-David regular surfaces and in...

    Ricardo Abreu Blaya, Juan Bory Reyes in Advances in Applied Clifford Algebras
    Article 01 June 2001

  4. Rudolf Fueter and his motivation for hypercomplex function theory

    Fifty years ago, on the 6th of August of 1950, Rudolf Fueter died in Brunnen, Switzerland, at the age of seventy. He wrote a remarkable chapter in...

    Helmuth R. Malonek in Advances in Applied Clifford Algebras
    Article 01 June 2001

  5. New mean-value formulas for harmonic functions in polyhedral domains

    We prove new mean value formulas for harmonic functions in polyhedra. Our approach is elementary and utilizes vanishing formulas for holomorphic...

    Kenny Felts, Marius Mitrea in Advances in Applied Clifford Algebras
    Article 01 June 2001

  6. Special monogenic polynomials andL 2-approximation

    The paper features some observations about the behaviour of special monogenic polynomials in the unit ball of ℝ n which are relevant to the...

    I. Cação, K. Gürlebeck, H. Malonek in Advances in Applied Clifford Algebras
    Article 01 June 2001

  7. On finite difference Dirac operators and their fundamental solutions

    Several finite difference approximations of the Dirac operator are studied and compared. Main goals are finite difference Dirac operators which allow...

    K. Gürlebeck, A. Hommel in Advances in Applied Clifford Algebras
    Article 01 June 2001

  8. On the conjugate of the Dirac operator

    We analyse the behaviour of the Euclidean Dirac operator under a special transformation preserving monogenicity. The framework of Vahlen matrices (see

    P. Cerejeiras in Advances in Applied Clifford Algebras
    Article 01 February 2001

  9. Index and wrap** number for paravectorvalued symbols

    From classical complex analysis it is well-known that the index of the Riemann-Hilbert problem is connected with the winding number. How to...

    Swanhild Bernstein in Advances in Applied Clifford Algebras
    Article 01 February 2001

  10. Hyperholomorphic functions in ℝ3

    We study a generalization of the Cauchy-Riemann system in ℝ 3 , which is based on the hyperbolic metric, and has the property that classical...

    W. Hengartner, H. Leutwiler in Advances in Applied Clifford Algebras
    Article 01 February 2001

  12. Applications of the monogenic functional calculus for noncommuting systems of operators

    The connection between Clifford analysis and the Weyl functional calculus for a d -tuple of bounded selfadjoint operators is used to prove a geometric...

    Brian Jefferies in Advances in Applied Clifford Algebras
    Article 01 February 2001

  13. Models for irreducible representations ofSpin(m)

    In this paper we consider harmonic and monogenic polynomials of simplicial type. It is proved that these polynomials provide explicit realizations of...

    P. Van Lancker, F. Sommen, D. Constales in Advances in Applied Clifford Algebras
    Article 01 February 2001

  14. Singular integrals and Fourier multipliers on unit spheres and their Lipschitz perturbations

    A theory of singular integrals with monogenic kernels on star-shaped Lipschitz surfaces in R n is established. The class of singular integrals forms...

    Tao Qian in Advances in Applied Clifford Algebras
    Article 01 February 2001

  15. e to the A, in a New Way, Some More to Say

    Expressions are given for the exponential of a Hermitian matrix, A . Replacing A by iA these are explicit formulas for the Fourier transform of e ...

    Paul Federbush in Letters in Mathematical Physics
    Article 01 September 2000

  17. Boundary value problems for quaternionic monogenic functions on non-smooth sureaces

    In this paper, analogous of the Compound Riemann-Hilbert boundary value problems are investigate for quaternionic monogenic functions. The solution...

    Ricardo Abreu Blaya, Juan Bory Reyes in Advances in Applied Clifford Algebras
    Article 01 June 1999
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