Differential Operators Associated to the Cauchy- Fueter Operator in Quaternion Algebra

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Differential Operators Associated to the Cauchy- Fueter Operator in Quaternion Algebra

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dc.contributor.author Nguyen, T.V.
dc.date.accessioned 2011-05-05T03:08:10Z
dc.date.available 2011-05-05T03:08:10Z
dc.date.issued 2011
dc.identifier.citation Page : 1-15 vi
dc.identifier.issn 1887009
dc.identifier.uri http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/6581
dc.description.abstract This paper deals with the initial value problem of the type {Mathematical expression} {Mathematical expression}where t is the time, L is a linear first order operator (matrix-type) in Quaternionic Analysis and {Mathematical expression} is a regular function taking values in the Quaternionic Algebra. The article proves necessary and sufficient conditions on the coefficients of operator L under which L is associated to the Cauchy-Fueter operator of Quarternionic Analysis. This criterion makes it possible to construct the operator L for which the initial problem (1), (2) is solvable for an arbitrary initial regular function {Mathematical expression} and the solution is also regular for each t. ?? 2011 Springer Basel AG. vi
dc.language.iso en vi
dc.publisher Advances in Applied Clifford Algebras vi
dc.subject Mathematics Subject Classification vi
dc.title Differential Operators Associated to the Cauchy- Fueter Operator in Quaternion Algebra vi
dc.type Article vi

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