Proceedings of the Royal Irish Academy. Section A: Mathematical and Physical Sciences, Vol. 81A, No. 2 (1981), pp. 217-223 (7 pages) Let E be a nuclear Fréchet space. For open subsets U in E let H(U) ...

This is a preview. Log in through your library . Abstract Holomorphic functions in Rn are defined to generalize those in R2. A Taylor formula and a Cauchy integral formula are presented. An ...

The Schwarz lemma stands as a cornerstone result in complex analysis, constraining holomorphic self-mappings of the unit disc by bounding both their magnitude and derivative. Traditionally, it affirms ...