Universal Faber Series with Hadamard-Ostrowski Gaps

作者：Tsirivas Nikolaos^*; Vlachou Vagia

来源：Computational Methods and Function Theory, 2010, 10(1): 155-165.

DOI：10.1007/BF03321760

• Universal functions
• universal Faber series
• Faber polynomials
• power series
• Hadamard-Ostrowski gaps

For certain non-simply connected domains of even infinite connectivity, we prove that there exist holomorphic functions such that a) their Faber expansions with respect to suitable compact sets have approximating properties outside their domain of holomorphy, and b) the coefficients of the Faber expansions have the property of Hadamard-Ostrowski gaps.

• 出版日期2010