Infinite Strip

Infinite Strip

 

in mathematics, the set of points in a plane that lie between two parallel lines in the plane. The x and y coordinates of the points in the strip satisfy the inequalities C1 < Ax + By < C2, where A, B, C1, and C2 are constants, with A and B not both zero. The transformation w = ez conformally maps the strip 0 < y < π in the complex plane z = x + iy onto the upper half of the complex w-plane.

References in periodicals archive ?
Material is presented in logical order, rather than chronological order of discovery, from the heat operator and mean values through subtemperatures and the Dirichlet problem, temperature on an infinite strip, green functions and heat potentials, polar sets and thermal capacity, and thermal fine topology.