Divergent series, summability and resurgence II. Simple and multiple summability

DOI10.1007/978-3-319-29075-1zbMath1348.34002OpenAlexW4248449578MaRDI QIDQ276847

Michèle Loday-Richaud

Publication date: 4 May 2016

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-29075-1

zbMATH Keywords

Newton polygonČech cohomologydivergent seriessummability\(\mathcal{D}\)-module\(k\)-summabilityBorel-Ritt theoremdiffeomorphism tangent to identityGevrey serieslinear ordinary differential equationmultisummabilityStokes cocycle theoremWatson's lemma

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02) Linear ordinary differential equations and systems in the complex domain (34M03) Research exposition (monographs, survey articles) pertaining to sequences, series, summability (40-02)

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