| dc.contributor.author |
Tran, Van Nguyen |
|
| dc.date.accessioned |
2011-04-21T02:59:37Z |
|
| dc.date.available |
2011-04-21T02:59:37Z |
|
| dc.date.issued |
2011 |
|
| dc.identifier.citation |
Advances in Applied Clifford Algebras, 2011, pp. 1-15 |
vi |
| dc.identifier.uri |
http://hdl.handle.net/123456789/1471 |
|
| 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 |
vi |
| dc.language.iso |
en_US |
vi |
| dc.publisher |
Springer Basel AG |
vi |
| dc.subject |
Mathematics Subject Classification |
vi |
| dc.title |
Differential Operators Associated to the Cauchy-Fueter Operator in Quaternion Algebra |
vi |
| dc.type |
Working Paper |
vi |