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- aggregation classification "A1".
- aggregation creator person.
- aggregation creator person.
- aggregation creator person.
- aggregation date "2011".
- aggregation format "application/pdf".
- aggregation hasFormat 1262117.bibtex.
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- aggregation isPartOf urn:issn:1534-0392.
- aggregation language "eng".
- aggregation rights "I have transferred the copyright for this publication to the publisher".
- aggregation subject "Mathematics and Statistics".
- aggregation title "The Cauchy-Kovalevskaya extension theorem in discrete Clifford analysis".
- aggregation abstract "Discrete Clifford analysis is a higher dimensional discrete function theory based on skew Weyl relations. It is centered around the study of Clifford algebra valued null solutions, called discrete monogenic functions, of a discrete Dirac operator, i.e. a first order, Clifford vector valued difference operator. In this paper, we establish a Cauchy-Kovalevskaya extension theorem for discrete monogenic functions defined on the standard Z(m) grid. Based on this extension principle, discrete Fueter polynomials, forming a basis of the space of discrete spherical monogenics, i.e. homogeneous discrete monogenic polynomials, are introduced. As an illustrative example we moreover explicitly construct the Cauchy-Kovalevskaya extension of the discrete delta function. These results are then generalized for a grid with variable mesh width h.".
- aggregation authorList BK440736.
- aggregation endPage "1109".
- aggregation issue "4".
- aggregation startPage "1097".
- aggregation volume "10".
- aggregation aggregates 1262130.
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- aggregation similarTo cpaa.2011.10.1097.
- aggregation similarTo LU-1262117.