Seminar: A Poisson Integral Formula for a Weighted Laplacian in the Unit Disc

• Bachelor Thesis Presentation
• Abstract:

  In this paper a counterpart of the classical Poisson integral formula is found for a weighted Laplace differential operator in the unit disc. In the process the corresponding Dirichlet boundary value problem is solved for arbitrary continuous boundary data. The associated power series expansions are calculated and interpreted as homogeneous expansions. A question of non dilation invariance is also discussed.

• Date: Wednesday, 17th February 2010
• Time: 10:15 to 11:15
• Room: 332A
• Speaker: Jens Sundberg,