location:  Publications → journals
Search results

Search: All articles in the CMB digital archive with keyword reflection principle

 Expand all        Collapse all Results 1 - 1 of 1

1. CMB Online first

Khavinson, Dmitry; Lundberg, Erik; Render, Hermann
 The Dirichlet problem for the slab with entire data and a difference equation for harmonic functions It is shown that the Dirichlet problem for the slab $(a,b) \times \mathbb{R}^{d}$ with entire boundary data has an entire solution. The proof is based on a generalized Schwarz reflection principle. Moreover, it is shown that for a given entire harmonic function $g$ the inhomogeneous difference equation $h ( t+1,y) -h (t,y) =g ( t,y)$ has an entire harmonic solution $h$. Keywords:reflection principle, entire harmonic function, analytic continuationCategories:31B20, 31B05
 top of page | contact us | privacy | site map |