Approximation on the boundary and sets of determination for harmonic functions
Gardiner, Stephen J. ; Pau, Jordi
Illinois J. Math., Tome 47 (2003) no. 4, p. 1115-1136 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
Let $E$ be a subset of a domain $\Omega $ in Euclidean space. This paper deals with the representation, or approximation, of functions on the boundary of $\Omega $ by sums of Poisson, Green or Martin kernels associated with the set $E$, and with the related issue of whether $E$ can be used to determine the suprema of certain harmonic functions on $\Omega $. The results address several questions raised by Hayman.
Publié le : 2003-10-15
Classification:  31B05 
@article{1258138094,
     author = {Gardiner, Stephen J. and Pau, Jordi},
     title = {Approximation on the boundary and sets of determination for harmonic functions},
     journal = {Illinois J. Math.},
     volume = {47},
     number = {4},
     year = {2003},
     pages = { 1115-1136},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138094}
}

Gardiner, Stephen J.; Pau, Jordi. Approximation on the boundary and sets of determination for harmonic functions. Illinois J. Math., Tome 47 (2003) no. 4, pp.  1115-1136. http://gdmltest.u-ga.fr/item/1258138094/