フルテキスト アフリカ教育研究第5号(2014年) aerf1960 Africa vol5

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

Our guiding philosophy will now be to prove refined Kato inequalities for sections lying in the kernels of natural first-order elliptic operators on E, with the constants given in

In this work we give definitions of the notions of superior limit and inferior limit of a real distribution of n variables at a point of its domain and study some properties of

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

“Breuil-M´ezard conjecture and modularity lifting for potentially semistable deformations after

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

Indeed, when using the method of integral representations, the two prob- lems; exterior problem (which has a unique solution) and the interior one (which has no unique solution for

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