On the ambiguity of field correlators represented by asymptotic perturbation expansions

0334196 - MÚ 2010 RIV GB eng J - Journal Article
Caprini, I. - Fischer, Jan - Vrkoč, Ivo
On the ambiguity of field correlators represented by asymptotic perturbation expansions.
Journal of Physics A-Mathematical and Theoretical. Roč. 42, č. 39 (2009), s. 395403. ISSN 1751-8113. E-ISSN 1751-8121
Institutional research plan: CEZ:AV0Z10190503; CEZ:AV0Z10100502
Keywords : asymptotic expansion * Watson lemma * Laplace integral
Subject RIV: BA - General Mathematics
Impact factor: 1.577, year: 2009

We consider functions represented by an integral of the Laplace-Borel type along a general contour in the complex plane. Proving a modified form of Watson's Lemma we obtain a large class of functions having the same asymptotic power expansion. By our result, the class of functions possesing the same asymptotic expansion is considerably extended.
Permanent Link: http://hdl.handle.net/11104/0178995