TY - JOUR UR - http://lib.ugent.be/catalog/pug01:681407 ID - pug01:681407 LA - eng TI - Hermitean Cauchy integral decomposition of continuous functions on hypersurfaces PY - 2008 JO - (2008) BOUNDARY VALUE PROBLEMS SN - 1687-2762 PB - 2008 AU - Abreu Blaya, Ricardo AU - Bory Reyes, Juan AU - Brackx, Fred TW16 801000224369 0000-0002-1849-8826 AU - De Knock, Bram TW16 801001647643 AU - De Schepper, Hennie TW16 801000937220 0000-0003-3708-4570 AU - Peña Peña, Dixan WE01 002003763453 AU - Sommen, Franciscus AB - We consider Holder continuous circulant (2 x 2) matrix functions G(2)(1) defined on the Ahlfors-David regular boundary Gamma of a domain Omega in R-2n. The main goal is to study under which conditions such a function G(2)(1) can be decomposed as G(2)(1) = G(2)(1+) - G(2)(1-), where the components G(2)(1+/-) are extendable to two-sided H-monogenic functions in the interior and the exterior of Omega, respectively. H-monogenicity is a concept from the framework of Hermitean Clifford analysis, a higher dimensional function theory centered around the simultaneous null solutions of two first-order vector-valued differential operators, called Hermitean Dirac operators. H-monogenic functions then are the null solutions of a (2 x 2) matrix Dirac operator, having these Hermitean Dirac operators as its entries; such functions have been crucial for the development of function theoretic results in the Hermitean Clifford context. Copyright (C) 2008 Ricardo Abreu Blaya et al. ER -Download RIS file
00000nam^a2200301^i^4500 | |||
001 | 681407 | ||
005 | 20161219154638.0 | ||
008 | 090606s2008------------------------eng-- | ||
022 | a 1687-2762 | ||
024 | a 000262444400001 2 wos | ||
024 | a 1854/LU-681407 2 handle | ||
024 | a 10.1155/2008/425256 2 doi | ||
040 | a UGent | ||
245 | a Hermitean Cauchy integral decomposition of continuous functions on hypersurfaces | ||
260 | c 2008 | ||
520 | a We consider Holder continuous circulant (2 x 2) matrix functions G(2)(1) defined on the Ahlfors-David regular boundary Gamma of a domain Omega in R-2n. The main goal is to study under which conditions such a function G(2)(1) can be decomposed as G(2)(1) = G(2)(1+) - G(2)(1-), where the components G(2)(1+/-) are extendable to two-sided H-monogenic functions in the interior and the exterior of Omega, respectively. H-monogenicity is a concept from the framework of Hermitean Clifford analysis, a higher dimensional function theory centered around the simultaneous null solutions of two first-order vector-valued differential operators, called Hermitean Dirac operators. H-monogenic functions then are the null solutions of a (2 x 2) matrix Dirac operator, having these Hermitean Dirac operators as its entries; such functions have been crucial for the development of function theoretic results in the Hermitean Clifford context. Copyright (C) 2008 Ricardo Abreu Blaya et al. | ||
598 | a A1 | ||
100 | a Abreu Blaya, Ricardo | ||
700 | a Bory Reyes, Juan | ||
700 | a Brackx, Fred u TW16 0 801000224369 0 0000-0002-1849-8826 | ||
700 | a De Knock, Bram u TW16 0 801001647643 0 001997153713 | ||
700 | a De Schepper, Hennie u TW16 0 801000937220 0 0000-0003-3708-4570 | ||
700 | a Peña Peña, Dixan u WE01 0 002003763453 0 801001817189 | ||
700 | a Sommen, Franciscus u TW16 0 801000476064 | ||
650 | a Mathematics and Statistics | ||
653 | a TRANSFORM | ||
653 | a CLIFFORD ANALYSIS | ||
773 | t BOUNDARY VALUE PROBLEMS g Bound. Value Probl. 2008. q :< | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/681407/file/762559 z [open] y AbreuBlaya_2008_425256.pdf | ||
920 | a article | ||
852 | x EA b TW16 | ||
922 | a UGENT-EA |
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