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| 1 | The Teodorescu Operator in Clifford Analysis显示文摘Euclidean Clifford analysis is a higher dimensional function theory centred around monogenic functions, i.e., null solutions to a first order vector valued rotation in-variant differential operator called the Dirac operator. More recently, Hermitian Clifford analysis has emerged as a new branch, offering yet a refinement of the Euclidean case; it focuses on the simultaneous null solutions, called Hermitian monogenic functions, to two Hermitian Dirac operators _z and _(zt) which are invariant under the action of the unitary group. In Euclidean Clifford analysis, the Teodorescu operator is the right inverse of the Dirac operator . In this paper, Teodorescu operators for the Hermitian Dirac operators _z and _(zt) are constructed. Moreover, the structure of the Euclidean and Hermitian Teodor-escu operators is revealed by analyzing the more subtle behaviour of their components. Finally, the obtained inversion relations are still refined for the differential operators is-suing from the Euclidean and Hermitian Dirac operators by splitting the Clifford algebra product into its dot and wedge parts. Their relationship with several complex variables theory is discussed. | F.BRACKX H.De SCHEPPER M.E. LUNA-ELIZARRARS M.SHAPIRO | 2012 | Chinese Annals of Mathematics,Series B2012，33，4： | 3 |
| 2 | Modeling the Coke Formation in the Convection Section Tubes of a Steam Cracker显示文摘 | De Schepper S Heynderickx G Marin GB | 2010 | Ind Eng Chem Res2010，49，12： | 1 |
| 3 | Histone deacetylase inhibitors:from chromatin remodeling to experimental cancer therapeutics显示文摘 | Arts J Schepper S Emelen K V | 2003 | Current Medicinal Chemistry2003，10，22： | 1 |
| 4 | Modeling the evaporation of a hydrocarbon feedstock in the convection section of a steam cracker显示文摘 | De Schepper S E K Heynderickx G J Matin G B | 2009 | Computers & Chemical Engi- neering2009，33，1： | 1 |
| 5 | Modeling the evaporation of a hydrocarbon feedstock in the convection section of a steam cracker 显示文摘 | DE SCHEPPER S C K HEYNDERICHX G J MARING B | 2009 | Computers and Chemical Engineering2009，33，1： | 1 |
| 6 | GDF5 single nucleotide polymorr phism rs143383 is associated with lumbar disc degeneration inNorthern European women显示文摘 | Williams F M Popham M Hart D J de Schepper E Bierma Zeinstra S Hofman A | 2011 | Arthritis Rheum2011，63，： | 1 |
| 7 | Somatic mutation analysis in NF1 caf au lait spots reveals two NF1 hits in the melanocytes显示文摘 | De Schepper S Maertens O Callens T | 2008 | J Invest Dermatol2008，128，4： | 1 |
| 8 | Posttraumatic severe fat embolism syndrome, with uncommon CT findings显示文摘 | van den Brande FG Hellemans S De Schepper A | 2006 | Anaesth Intensive Care2006，34，1： | 1 |
| 9 | Post-traumatic severe fat embolism syndrome with uncommon CT findings显示文摘 | Vanden Brande FG Hellemans S De Schepper A | 2006 | Anaesth Intensive Care2006，34，1： | 1 |
| 10 | Cafe-au-lait spots in neurofibromatosis type 1 and in healthy control individuals: hyperpigmentation of a different kind 显示文摘 | SCHEPPER S D BOUCNEAU J HEAGHEN Y V | 2006 | Arch Dermatol Res2006，297，： | 1 |
| 11 | Modeling the evaporation of a hydrocarbon feedstock in the convection section of a steam cracker 显示文摘 | De Schepper S C K Heynderickx G J Marin G B | 2009 | Comput- ers Chemical Engineering2009，33，1： | 1 |
| 12 | Posttraumatic severe fat embolism syndrome with uncommon CT findings 显示文摘 | Van den Brande FG Hellemans S De Schepper A | 2006 | Anaesth Intensive Care2006，34，1： | 1 |
| 13 | First histopathological and immunophenotypic analysis of early dynamic events in a patient with segmental vitiligo associated with halo nevi 显示文摘 | van Geel NA Mollet IG De Schepper S | 2010 | Pigment Cell Melanoma Res2010，23，3： | 1 |
| 14 | Post-traumatic severe fat embolism syndrome with uncommon CT findings显示文摘 | Hellemans S De Schepper A ed al | 2006 | Anaesth Intensive Care2006，34，1： | 1 |
| 15 | Multiple myofibromas and an epidermal verrucous nevus in a child with neurofibromatosis type 1 显示文摘 | De Schepper S Janssens S Messiaen L | 2004 | Dermatology2004，209，3： | 1 |
| 16 | Modeling the Coke Formation in the Convection Section Tubes of a Steam Cracker显示文摘 | de Schepper S Heynderickx G Marin G B | 2010 | IndEng ChemRes2010，49，12： | 1 |
| 17 | First histopathological and immunophenotypic analysis of early dynamic events in a patient with segmental vitiligo associated with halo nevi 显示文摘 | van Geel NA Mollet IG De Schepper S | 2010 | Pigment Cell Melanoma Res2010，23，： | 1 |
| 18 | Somatic polyploidy and its conse-quences for flower coloration and flower morphology in azalea显示文摘 | SCHEPPER S D LEUS L MERTENS M DEBERGH P BOCK-STAELE E V LOOSE M D | 2001 | Plant Cell Reports2001，20，： | 1 |
| 19 | Effect of vitiligo on self-reported health-related quality of life显示文摘 | ONGENAE K VAN GEEL N DE SCHEPPER S | 2005 | Br J Dermatol2005，152，6： | 1 |
| 20 | Effect of vitiligo on self-reported health-related quality of life显示文摘 | Ongenae K Van Geel N De Schepper S | 2005 | Br J Dermatol2005，152，： | 1 |
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