東北大学 災害科学国際研究所 佐藤翔輔

The Beurling-Bj ¨orck space S w , as defined in 2, consists of C ∞ functions such that the functions and their Fourier transform jointly with all their derivatives decay ultrarapidly

We present sufficient conditions for the existence of solutions to Neu- mann and periodic boundary-value problems for some class of quasilinear ordinary differential equations.. We

Analogs of this theorem were proved by Roitberg for nonregular elliptic boundary- value problems and for general elliptic systems of differential equations, the mod- ified scale of

Goal of this joint work: Under certain conditions, we prove ( ∗ ) directly [i.e., without applying the theory of noncritical Belyi maps] to compute the constant “C(d, ϵ)”

The following result about dim X r−1 when p | r is stated without proof, as it follows from the more general Lemma 4.3 in Section 4..

Then it follows immediately from a suitable version of “Hensel’s Lemma” [cf., e.g., the argument of [4], Lemma 2.1] that S may be obtained, as the notation suggests, as the m A

0.1. Additive Galois modules and especially the ring of integers of local fields are considered from different viewpoints. Leopoldt [L] the ring of integers is studied as a module

Correspondingly, the limiting sequence of metric spaces has a surpris- ingly simple description as a collection of random real trees (given below) in which certain pairs of