プレゼンファイル・集中講義ノート Jun O'Hara 25610014seika bis

to use a version of Poisson summation with fewer hypotheses (for example, see Theorem D.4.1 in [1])... It seems surprisingly difficult to prove directly from the definition of a

(ii) The cases discussed in Theorem 1.1 were chosen as representative of the basic method, but there are pairs of positive integers not covered by the conditions of Theorem 1.1

In this context, the Fundamental Theorem of the Invariant Theory is proved, a notion of basis of the rings of invariants is introduced, and a generalization of Hilbert’s

We know that the function u ˜ i is p(·)-quasicontinuous; notice here that [21], Theorem 2, improves [15], Theorem 4.6 by showing that our standard assumptions are sufficient for

The elimination of invariant tori of the geodesic flow of a Riemannian metric by perturbations of the metric [20] allows us to eliminate continuous invariant graphs in small

As a consequence of this characterization, we get a characterization of the convex ideal hyperbolic polyhedra associated to a compact surface with genus greater than one (Corollary

This applies to the case where the induced action 1 ϕ acts transitively on the base manifold and states that each point in the bundle gives rise to a bijection between the set

Key words and phrases: Quasianalytic ultradistributions; Convolution of ultradistributions; Translation-invariant Banach space of ultradistribu- tions; Tempered