We define a "weak Borel-sum" for a class of formal power series. This is a generalization of the ordinary Borel-sum with applications in the theory of locally analytic difference equations. We explain its relation to a particular type of accelerosum obtained by the use of a weak acceleration operator, and briefly discuss a corresponding Stokes phenomenon. Most results of this paper are based on the quasi-analyticity of a certain type of Borel transform.
|Number of pages||26|
|Publication status||Published - Feb-2001|
- FORMAL SOLUTIONS