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Holomorphic functions on symmetric Banach manifolds of compact type are constant

✍ Scribed by Seán Dineen; Pauline Mellon

Publisher
Springer-Verlag
Year
1998
Tongue
French
Weight
129 KB
Volume
229
Category
Article
ISSN
0025-5874

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✍ Hongming Ding; Kenneth I. Gross; Donald St.P. Richards 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 183 KB

Let D be a bounded symmetric domain of tube type and 7 be the Shilov boundary of D. Denote by H 2 (D) and A 2 (D) the Hardy and Bergman spaces, respectively, of holomorphic functions on D; and let B(H 2 (D)) and B(A 2 (D)) denote the closed unit balls in these spaces. For an integer l 0 we define th