Universal Taylor series and summability

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• 作者：S. Charpentier (1)
  A. Mouze (2) (3)
  
  1. Laboratoire d鈥橝nalyse ; Topologie et Probabilit茅s ; UMR 7353 ; Aix-Marseille Universit茅 ; Technop么le Ch芒teau-Gombert ; 39 rue F. Joliot Curie ; 13453聽 ; Marseille Cedex 13 ; France
  2. Laboratoire Paul Painlev茅 ; UMR 8524 ; Cit茅 Scientifique ; 59650聽 ; Villeneuve d鈥橝scq ; France
  3. 脡cole Centrale de Lille ; Cit茅 Scientifique ; CS20048 ; 59651 ; Villeneuve d鈥橝scq Cedex ; France
  
• 关键词：Universal Taylor series ; Ostrowski ; gaps ; Matrix summability method ; 30K05 ; 40A05 ; 41A10 ; 47A16
• 刊名：Revista Matemática Complutense
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：28
• 期：1
• 页码：153-167
• 全文大小：195 KB
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  16. Melas, A., Nestoridis, V.: Universality of Taylor Series as a Generic Property of Holomorphic Functions. Adv. Math. 157, 138鈥?76 (2001) CrossRef
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  20. Nestoridis, V.: An extension of the notion of universal Taylor series. Computational methods and function theory (1997) (Nicosia). Ser. Approx. Decompos., vol. 11, pp. 421鈥?30. World Sci. Publ., River Edge (1999)
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  23. Zygmund, A.: Trigonometric Series. Cambridge University Press, Cambridge (1979)
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Algebra
  Applications of Mathematics
  Geometry
  Mathematics
  Topology
  
• 出版者：Springer Milan
• ISSN：1988-2807

文摘

We introduce classes of universal Taylor series, both topologically and algebraically generic, whose image under some regular matrix summability methods are automatically universal.