From divergent power series to analytic functions. Theory and application of multisummable power series
type: Item
instance of: scholarly article
title: From divergent power series to analytic functions. Theory and application of multisummable power series
zbMATH Open document ID: 0810.34046
author: Werner Balser
published in: Lecture Notes in Mathematics
publication date: 1994-09-11T00:00:00Z
review text: The purpose of this book is to investigate the theory of multisummable power series and its applications to ordinary differential equations. The most important chapters among eight chapters are Chapter 6 and Chapter 8. In Chapter 6 the author gives the definition of multisummability and discusses its properties, the main decomposition result and some applications of Cauchy-Heine transforms. In Chapter 8 he studies formal solutions to nonlinear ordinary differential equations.
Mathematics Subject Classification ID: 34E05
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 34-02
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 30B10
Mathematics Subject Classification ID: 30E15
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 34M99
zbMATH DE Number: 637034
zbMATH Keywords: multisummable power series
zbMATH Keywords: decomposition
zbMATH Keywords: Cauchy-Heine transforms
zbMATH Keywords: formal solutions to nonlinear ordinary differential equations
reviewed by: Hiroshi Haruki
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 637034