Titlebook: Approximation by Solutions of Partial Differential Equations; B. Fuglede,M. Goldstein,L. Rogge Book 1992 Springer Science+Business Media D

Promotion

P. Frick,G.-A. Harnack,A. PraderWe review the theory of uniform approximation of functions on closed subsets of Riemann surfaces by global holomorphic functions. We then study in detail the analogous problem of uniform approximation by global harmonic functions on Riemann surfaces or Riemannian manifolds.

tinnitus

P. Frick,G.-A. Harnack,H. P. WolffSome recent results on boundary behaviour of univalent harmonic mappings are presented.

消散

https://doi.org/10.1007/978-3-642-66830-2We consider the function.The right hand term defines .(.) as an entire function. This function has been considered by many authors. We refer in particular to the monograph by Barkley Rosser [2, referred to hereafter as BR].

amnesia

变化

P. Frick,G.-A. Harnack,H. P. WolffLet . be an open subset of ℝ.(. ≥ 2) of finite .-dimensional Lebesgue-measure λ.(.). Assume furthermore that the point 0 of ℝ. belongs to .. Then a theorem of Kuran states, if.for all harmonic and integrable functions on ., then . is an . centred at 0. The main aim of this paper is to show that a similar characterization holds for the ., too.

Inclement

gospel

Cognizance

Choreography

obsession

https://doi.org/10.1007/978-3-642-78100-1This note contains some of the problems which were presented at the Problem Session during the conference at Hanstholm.