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) ...
The study of holomorphic semigroups and composition operators occupies a pivotal role in modern analysis, bridging complex function theory and operator theory. Holomorphic semigroups, formed by ...
Mathematical Proceedings of the Royal Irish Academy, Vol. 106A, No. 1 (JUNE 2006), pp. 97-113 (17 pages) We prove that two domains of holomorphy U and V in separable Fréchet spaces with the bounded ...
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 ...
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