Something about Poisson and Dirichlet
Steven R. Bell, Luis Reyna de la Torre
TL;DR
This paper presents an elementary solution to the Dirichlet problem in the unit disc, deriving the Poisson formula and simplifying related foundational concepts in complex analysis.
Contribution
It introduces a straightforward approach to solving the Dirichlet problem and simplifies key aspects of complex analysis foundations.
Findings
Elementary derivation of the Poisson formula
Simplified solutions to the Dirichlet problem
Enhanced understanding of complex analysis foundations
Abstract
We solve the Dirichlet problem in the unit disc and derive the Poisson formula using very elementary methods and explore consequent simplifications in other foundational areas of complex analysis.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematics and Applications · Holomorphic and Operator Theory · Algebraic and Geometric Analysis