Add to ORKG© 2012 Springer Basel. In this paper we introduce an alternative way of defining the curvilinear Cauchy integral over non-rectifiable arcs on the complex plane. We construct this integral as the convolution of the distribution (2πiz)− 1 with a certain distribution such that its support is a non-rectifiable arc. These convolutions are called Cauchy transforms. A s an application, solvability conditions of the Riemann boundary value problem are derived under very weak conditions on the boundary
In this paper we introduce an alternative way of defining the curvilinear Cauchy integral over non-r...
© 2014 Springer Basel. Let Γ be a non-rectifiable curve on the complex plane ℂ. We extend distributi...
We consider a nonrectifiable Jordan arc Γ on the complex plane ℂ with endpoints a1 and a2. The Riema...
© 2012 Springer Basel. In this paper we introduce an alternative way of defining the curvilinear Cau...
© 2012 Springer Basel. In this paper we introduce an alternative way of defining the curvilinear Cau...
© 2012 Springer Basel. In this paper we introduce an alternative way of defining the curvilinear Cau...
We present a brief survey of results on the Riemann boundary value problem for non-rectifiable curve...
In this paper we introduce an alternative way of defining the curvilinear Cauchy integral over non-r...
We present a brief survey of results on the Riemann boundary value problem for non-rectifiable curve...
In this paper we introduce an alternative way of defining the curvilinear Cauchy integral over non-r...
We present a brief survey of results on the Riemann boundary value problem for non-rectifiable curve...
We present a brief survey of results on the Riemann boundary value problem for non-rectifiable curve...
We consider a nonrectifiable Jordan arc Γ on the complex plane ℂ with endpoints a1 and a2. The Riema...
We consider a nonrectifiable Jordan arc Γ on the complex plane ℂ with endpoints a1 and a2. The Riema...
We consider a nonrectifiable Jordan arc Γ on the complex plane ℂ with endpoints a1 and a2. The Riema...
In this paper we introduce an alternative way of defining the curvilinear Cauchy integral over non-r...
© 2014 Springer Basel. Let Γ be a non-rectifiable curve on the complex plane ℂ. We extend distributi...
We consider a nonrectifiable Jordan arc Γ on the complex plane ℂ with endpoints a1 and a2. The Riema...
© 2012 Springer Basel. In this paper we introduce an alternative way of defining the curvilinear Cau...
© 2012 Springer Basel. In this paper we introduce an alternative way of defining the curvilinear Cau...
© 2012 Springer Basel. In this paper we introduce an alternative way of defining the curvilinear Cau...
We present a brief survey of results on the Riemann boundary value problem for non-rectifiable curve...
In this paper we introduce an alternative way of defining the curvilinear Cauchy integral over non-r...
We present a brief survey of results on the Riemann boundary value problem for non-rectifiable curve...
In this paper we introduce an alternative way of defining the curvilinear Cauchy integral over non-r...
We present a brief survey of results on the Riemann boundary value problem for non-rectifiable curve...
We present a brief survey of results on the Riemann boundary value problem for non-rectifiable curve...
We consider a nonrectifiable Jordan arc Γ on the complex plane ℂ with endpoints a1 and a2. The Riema...
We consider a nonrectifiable Jordan arc Γ on the complex plane ℂ with endpoints a1 and a2. The Riema...
We consider a nonrectifiable Jordan arc Γ on the complex plane ℂ with endpoints a1 and a2. The Riema...
In this paper we introduce an alternative way of defining the curvilinear Cauchy integral over non-r...
© 2014 Springer Basel. Let Γ be a non-rectifiable curve on the complex plane ℂ. We extend distributi...
We consider a nonrectifiable Jordan arc Γ on the complex plane ℂ with endpoints a1 and a2. The Riema...