Divergent Series, Summability and Resurgence II Simple and Multiple Summability /

• Main Author: Loday-Richaud, Michèle (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Lecture Notes in Mathematics, 2154
• Subjects: Mathematics.; Difference equations.; Functional equations.; Dynamics.; Ergodic theory.; Differential equations.; Sequences (Mathematics).; Sequences, Series, Summability.; Ordinary Differential Equations.; Difference and Functional Equations.; Dynamical Systems and Ergodic Theory.

Addressing the question how to “sum” a power series in one variable when it diverges, that is, how to attach to it analytic functions, the volume gives answers by presenting and comparing the various theories of k-summability and multisummability. These theories apply in particular to all solutions...