Global reconstruction of analytic functions from local expansions ...

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Global reconstruction of analytic functions from local expansions and a new general method of converting sums into integrals O. Costin 100 Math Tower, 231 West 18th Avenue, Columbus, OH 43210 e-mail: ; Abstract. A new summation method is introduced to convert a rel- atively wide family of Taylor series and infinite sums into integrals.

• wide family of taylor series
• taylor coefficients
• borel sum
• series with finite radius of convergence
• analyzable functions
• kam resonant expansions
• view of the closure of analyzable functions to a wide class of operations
• borel
• series