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 |