Borel Summability and General Circle Methods

  • Jacob Korevaar
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 329)

Abstract

Émile Borel published extensively on summability theory, emphasizing applications to analytic continuation. We mention a few of his papers: [1895], [1899], [1901] and his book [1901/28]. Hardy contributed to the development of Borel’s methods in [1904a], [1904b] and [1911b].

Keywords

Power Series Analytic Continuation Tauberian Theorem Circle Method Taylor Method 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Jacob Korevaar
    • 1
  1. 1.KdV Mathematical InstituteUniversity of AmsterdamAmsterdamThe Netherlands

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