Macrochelid mites (Acari: Macrochelidae) associated with Trox sugayai Masumoto and Kiuchi (Coleoptera: Trogidae) on Amami-Oshima Island, Japan

Using this result together with the principle of Shimura, we show that the number of classes of the prim- itive solutions of a quadratic Diophantine equation in four variables

We establish Hardy-type inequalities for the Riemann-Liouville and Weyl transforms as- sociated with the Jacobi operator by using Hardy-type inequalities for a class of

In this section, we are going to study how the product acts on Sobolev and Hölder spaces associated with the Dunkl operators. This could be very useful in nonlinear

Proof. This result follows by applying Lemma 3.1 to all the external links corresponding to the m nested arches which are on the left of the centre M plus the “first” external link

We link together three themes which had remained separated so far: the Hilbert space properties of the Riemann ze- ros, the “dual Poisson formula” of Duffin-Weinberger (also named by

The aim of this article is to study, in the context of finitely generated groups of polynomial volume growth, a natural class of random walks that allow for long range jumps..

Theorem 2 and its corollaries enable us to prove a new representation theorem for δ-subharmonic functions, which is analogous to known results about Poisson integrals on a ball due

From Proposition 2.7, we deduce that an entire function of exponential type which satisfies an equation of the form in the following proposition is a sum of