Uniformization and Constructive Analytic Continuation of Taylor Series

Understand

We analyze the problem of global reconstruction of functions as accurately as possible, based on partial information in the form of a truncated power series at some point, and additional analyticity properties.

• This situation occurs frequently in applications.
• The question of the optimal procedure was open, and we formulate it as a well-posed mathematical problem.
• Its solution leads to a practical method which provides dramatic accuracy improvements over existing techniques.