Resurgence Analysis of Meromorphic Transforms

Publikation: Bidrag til tidsskriftTidsskriftartikelForskning

1 Downloads (Pure)

Abstrakt

We consider meromorphic transforms given by meromorphic kernels and study their asymptotic expansions under a certain rescaling. Under decay assumptions we establish the full asymptotic expansion in the rescaling parameter of these transforms and provide global estimates for error terms. We show that the resulting asymptotic series is Borel resummable and we provide formulae for the resulting resurgent function, which allows us to give formulae for the Stokes coefficients. A number of classical functions are obtained by applying such meromorphic transforms to elementary functions, such as Faddeev's quantum dilogarithm, and our general theory applies to these cases.
OriginalsprogEngelsk
Tidsskriftarxiv.org
Antal sider35
StatusUdgivet - 2. nov. 2020

Fingeraftryk Dyk ned i forskningsemnerne om 'Resurgence Analysis of Meromorphic Transforms'. Sammen danner de et unikt fingeraftryk.

Citationsformater