Analyticity and Borel summability of the $\phi ^4$ models. I. The dimension $d = 1$

In this paper we study the Borel summability of a certain divergent formal power series solution for an initial value problem. We show the Borel summability under the condition that an initial value function ϕ(x) is an entire function of exponential order at most 2.

Potential wells in high dimensions I

Johannes Sjöstrand (1993)

Annales de l'I.H.P. Physique théorique

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The large-scale limit of Dyson's hierarchical vector valued model at low temperatures. The non-gaussian case. Part I : limit theorem for the average spin

P. M. Bleher, P. Major (1988)

Annales de l'I.H.P. Physique théorique

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