@inproceedings{MoraisGeorgievSproessig,
  author    = {Morais, Joao and Georgiev, Svetlin and Spr{\"o}ßig, Wolfgang},
  title     = {A NOTE ON THE CLIFFORD FOURIER-STIELTJES TRANSFORM},
  series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  editor    = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2779},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27794},
  pages     = {13},
  abstract  = {The purpose of this article is to provide an overview of the real Clifford Fourier- Stieltjes transform (CFST) and of its important properties. Additionally, we introduce the definition of convolution of Clifford functions of bounded variation.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{MoraisGeorgiev,
  author    = {Morais, Joao and Georgiev, Svetlin},
  title     = {COMPLETE ORTHOGONAL SYSTEMS OF 3D SPHEROIDAL MONOGENICS},
  series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  editor    = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2778},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27785},
  pages     = {14},
  abstract  = {In this paper we review two distint complete orthogonal systems of monogenic polynomials over 3D prolate spheroids. The underlying functions take on either values in the reduced and full quaternions (identified, respectively, with R3 and R4), and are generally assumed to be nullsolutions of the well known Riesz and Moisil Th{\´e}odoresco systems in R3. This will be done in the spaces of square integrable functions over R and H. The representations of these polynomials are explicitly given. Additionally, we show that these polynomial functions play an important role in defining the Szeg{\"o} kernel function over the surface of 3D spheroids. As a concrete application, we prove the explicit expression of the monogenic Szeg{\"o} kernel function over 3D prolate spheroids.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{LeMoraisSproessig,
  author    = {Le, Hoai Thu and Morais, Joao and Spr{\"o}ßig, Wolfgang},
  title     = {ORTHOGONAL DECOMPOSITIONS AND THEIR APPLICATIONS},
  series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  editor    = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2772},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27729},
  pages     = {10},
  abstract  = {It is well known that complex quaternion analysis plays an important role in the study of higher order boundary value problems of mathematical physics. Following the ideas given for real quaternion analysis, the paper deals with certain orthogonal decompositions of the complex quaternion Hilbert space into its subspaces of null solutions of Dirac type operator with an arbitrary complex potential. We then apply them to consider related boundary value problems, and to prove the existence and uniqueness as well as the explicit representation formulae of the underlying solutions.},
  subject      = {Angewandte Informatik},
  language  = {en}
}