Generalization of a Theorem of Bohr for Bases in Spaces of Holomorphic Functions of Several Complex Variables
By L. Aĭzenberg, A. Aytuna, Plamen Djakov. 2001
97 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/f485963d836aea3de4d8ec09f9f80389879db5be
How researchers see this paper
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In Applied Mathematics
- Saminathan Ponnusamy
- Zhihong Liu
- Ming-Sheng Liu
- Gang Liu
- Anders Dahlner
- Catherine Bénéteau
- Dmitry Khavinson
- Ilgiz R. Kayumov
In Mathematical Physics
- Saminathan Ponnusamy
- Zhihong Liu
- Gang Liu
- Ming-Sheng Liu
- Anders Dahlner
- Catherine Bénéteau
- Dmitry Khavinson
- Ilgiz R. Kayumov
Citations in the corpus
- Refined Bohr inequality for bounded analytic functions (2020, background): “See for instance [2, 4, 8, 10, 11, 13, 14, 15, 16, 17, 18] and the references therein.”
- Multidimensional analogues of refined Bohr’s inequality (2020, background): “[4, 5, 6, 7], Defant and Frerick [17], and Djakov and Ramanujan [19] have established further results on Bohr’s phenomena for multidimensional power series.”
- Remarks on the Bohr Phenomenon (2004, background): “[1, 2 , 3, 5]) have studied Bohr phenomena in Cn and also for various bases”
- Majorant Series (2000, unknown): “1 d (1− 1 m(p) )(32nd log(6d)) 1 2d .”
- Bohr’s theorem for holomorphic mappings with values in homogeneous balls (2009, unknown): “tion of Bohr’s theorem to several complex variables, see [2], [3], [ 4 ], [5], [9], [10], [11], [14], [19], [20] and [21].”