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A Generalization of Weierstrass' Preparation Theorem for a Power Series in Several Variables

✍ Scribed by Gilbert Ames Bliss


Book ID
123945111
Publisher
American Mathematical Society
Year
1912
Tongue
English
Weight
362 KB
Volume
13
Category
Article
ISSN
0002-9947

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Generalization of a Theorem of Bohr for
✍ Lev Aizenberg; Aydin Aytuna; Plamen Djakov 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 137 KB

In the first part, we generalize the classical result of Bohr by proving that an m Ž analogous phenomenon occurs whenever D is an open domain in ‫ރ‬ or, more . Ž . ϱ generally, a complex manifold and is a basis in the space of holomorphic n ns0 Ž . Ž . functions H D such that s 1 and z s 0, n G 1,