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1. The Hermitean Hilbert–Dirac Connection

   Hermitean Clifford analysis is a recent branch of Clifford analysis, refining the Euclidean case; it focusses on the simultaneous null solutions,...

   F. Brackx, B. De Knock, H. De Schepper in Advances in Applied Clifford Algebras

   Article 23 February 2009

2. Invariant Operators Between Spaces of h-Monogenic Polynomials

   In this paper we study properties of invariant differential operators acting between spaces of h -monogenic functions. In this way one obtains...

   Alberto Damiano, David Eelbode in Advances in Applied Clifford Algebras

   Article 23 February 2009

3. Hyperbolic Function Theory in the Clifford Algebra \({\mathcal {C}}\ell_{n+1, 0}\)

   Sirkka-Liisa Eriksson, Heikki Orelma in Advances in Applied Clifford Algebras

   Article 27 February 2009

4. On a Polynomial Basis Generated from the Generalized Kolosov–Muskhelishvili Formulae

   In this paper we are working with a generalized Kolosov-Muskhelishvili formula . This representation formula expresses the elastic displacements of a...

   S. Bock, K. Gürlebeck in Advances in Applied Clifford Algebras

   Article 23 February 2009

5. Integral Formula of Isotonic Functions over Unbounded Domain in Clifford Analysis

   In this paper we mainly study the so-called isotonic Dirac system over more general types of unbounded domains in Euclidean space of even dimension....

   Ku Min in Advances in Applied Clifford Algebras

   Article 17 December 2008

6. Solution of Initial Value Problems with Monogenic Initial Functions in Banach Spaces with L _p -Norm

   Uğur Yüksel in Advances in Applied Clifford Algebras

   Article 06 October 2008

7. Factorizations of Möbius Gyrogroups

   In this paper we consider a Möbius gyrogroup on a real Hilbert space (of finite or infinite dimension) and we obtain its factorization by...

   M. Ferreira in Advances in Applied Clifford Algebras

   Article 23 February 2009

8. Holomorphic Extension Theorems in Lipschitz Domains of \({\mathbb{C}}^{2}\)

   Ricardo Abreu Blaya, Juan Bory Reyes, ... Frank Sommen in Advances in Applied Clifford Algebras

   Article 16 October 2008

9. Spherical Monogenics: An Algebraic Approach

   P. Van Lancker in Advances in Applied Clifford Algebras

   Article 19 March 2009

10. On Appell Sets and the Fueter-Sce Map**

    It is proved in Clifford algebras generated by an odd number of basis vectors e ₁ , ... , e _n , that the recently discussed Appell polynomials in...

    Norman Gürlebeck in Advances in Applied Clifford Algebras

    Article 13 August 2008

11. On the Boundedness of Calderón-Zygmund Operators with Monogenic Kernels

    Starting from the L ² boundedness of the Clifford-Cauchy operator on Lipschitz surfaces, we give a direct, self-contained proof of the L ...

    Dorina Mitrea in Advances in Applied Clifford Algebras

    Article 16 June 2008

12. On the Structure of Solutions of the Moisil-Théodoresco System in Euclidean Space

    Juan Bory Reyes, Richard Delanghe in Advances in Applied Clifford Algebras

    Article 13 August 2008

13. Powers of the Parabolic Dirac Operator

    The following paper deals with the characterization of the polynomial null solutions for a homogeneous and a non-homogeneous parabolic Dirac...

    Nelson Vieira in Advances in Applied Clifford Algebras

    Article 16 June 2008

14. A Generalization of Monogenic Functions to Fine Domains

    In this note, we generalize Fuglede’s theory of finely holomorphic functions to higher dimensions. Namely, in Clifford analysis monogenic functions...

    Roman Lávička in Advances in Applied Clifford Algebras

    Article 16 June 2008

15. The Application of a Discrete Function Theory to the Solution of the Navier-Stokes Equations

    We develop a numerical method for the Navier-Stokes equations over unbounded domains. From the analytic methods used to show existence and uniqueness...

    Nelson Faustino in Advances in Applied Clifford Algebras

    Article 27 May 2008

16. Spherical Wavelet Transform

    In this article we present a group-theoretical approach for the continuous wavelet transform (CWT) on the unit sphere S ^{n -1} based on its conformal...

    Milton Ferreira in Advances in Applied Clifford Algebras

    Article 27 May 2008

17. On a Class of Inner Spherical Monogenics and their Primitives

    Richard Delanghe in Advances in Applied Clifford Algebras

    Article 27 May 2008

18. On Hyperbolic Function Theory

    The hyperbolic version of the standard Clifford analysis will be considered. In this modification the power function x ^m becomes a solution. In more...

    Sirkka-Liisa Eriksson, Heinz Leutwiler in Advances in Applied Clifford Algebras

    Article 27 May 2008

19. On the Integral Representation of Spherical k-Regular Functions in Clifford Analysis

    Ku Min, Du **yuan in Advances in Applied Clifford Algebras

    Article 27 June 2008

20. Banach Envelopes of Monogenic Hardy Spaces

    Marius Mitrea in Advances in Applied Clifford Algebras

    Article 16 June 2008