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

• Κύριος συγγραφέας: Loday-Richaud, Michèle (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Σειρά: Lecture Notes in Mathematics, 2154
• Θέματα: 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...

Πίνακας περιεχομένων:

• Avant-propos
• Preface to the three volumes
• Introduction to this volume
• 1 Asymptotic Expansions in the Complex Domain
• 2 Sheaves and Čech cohomology
• 3 Linear Ordinary Differential Equations
• 4 Irregularity and Gevrey Index Theorems
• 5 Four Equivalent Approaches to k-Summability
• 6 Tangent-to-Identity Diffeomorphisms
• 7 Six Equivalent Approaches to Multisummability
• Exercises
• Solutions to Exercises
• Index
• Glossary of Notations
• References.