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Darboux transformations for a twisted derivation and quasideterminant solutions to the super KdV equation
twisted derivation super KdV equation quasideterminant solutions
2010/4/7
This paper is concerned with a generalized type of Darboux transformations defined in terms of a twisted derivation $D$ satisfying $D(AB)=D(A)+\sigma(A)B$ where $\sigma$ is a homomorphism. Such twiste...
A New Characteristic of Möbius Transformations by Use of Apollonius Points of Pentagons
Mö bius transformations Apollonius points of pentagons
2010/2/26
In this paper, we give a new characterization of Möbius transformations. To this end, a new concept of ''Apollonius points of pentagons'' is used.
On High order Riesz Transformations Generated by Generalized Shift Operator
Shift Operator Riesz transformations
2010/3/5
In this paper, we determine high order Riesz transformations by using generalized shift operators and giving some of their properties.