LinearFractionalTransformation?Howtomaptheinterioroftheunitcircleontotheinteriorofinterioroftheunitcircle?(Hint:Maptheinterioroftheunitcircleontotheupperhalf-planeandthenmaptheupperhalf-planeontotheinteriorofth

Question

Linear Fractional Transformation?
How to map the interior of the unit circle onto the interior of interior of the unit circle?
(Hint:Map the interior of the unit circle onto the upper half-plane and then map the upper half-plane onto the interior of the unit circle)

Answer 1

用分式线性变换
例如,将单位圆|z|