3 papers
math.AP2016
Dirichlet's problem with entire data posed on an ellipsoidal cylinder
Dmitry Khavinson, Erik Lundberg, Hermann Render
We consider the Dirichlet problem in an ellipsoidal cylinder when the data function is entire. Under an additional assumption that the order of the data function is less than one,…
math.AP2012
Polyharmonic functions of infinite order on annular regions
Ognyan Kounchev, Hermann Render
Polyharmonic functions f of infinite order and type τ on annular regions are systematically studied. The first main result states that the Fourier-Laplace coefficients f_{k,l}(r) o…
math.AP2007
The Goursat problem for a generalized Helmholz operator in the plane
Peter Ebenfelt, Hermann Render
We consider the Goursat problem in the plane for partial differential operators whose principal part is the th power of the standard Laplace operator. The data is posed on a uni…