Logarithmic Hyperseries

2018/10/03 by Lou van den Dries, Joris van der Hoeven, Dries, Lou van den +3 · 2 citations
Mathematics · Engineering · #Rings, Modules, and Algebras #Scheduling and Optimization Algorithms #Fuzzy Systems and Optimization

paper · doi:10.48550/arxiv.1810.01810

Abstract

We define the field \mathbbL of logarithmic hyperseries, construct on \mathbbL natural operations of differentiation, integration, and composition, establish the basic properties of these operations, and characterize these operations uniquely by such properties.

Cited by

• Ordered groups of formal series, and a conjugacy problem
• Short Hardy fields

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