Search results for "NUMB"

Complex powers of elliptic pseudodifferential operators

1986

The aim of this paper is the construction of complex powers of elliptic pseudodifferential operators and the study of the analytic properties of the corresponding kernels kS (x,y). For x=y, the case of principal interest, the domain of holomorphy and the singularities of kS (x,x) are shown to depend on the asymptotic expansion of the symbol. For classical symbols, kS (x,x) is known to be meromorphic on ℂ with simple poles in a set of equidistant points on the real axis. In the more general cases considered here, the singularities may be distributed over a half plane and kS (x,x) can not always be extended to337-2. An example is given where kS (x,x) has a vertical line as natural boundary.

Real characters of p′-degree

2004

Endliche Gruppen, die eine Involution z besitzen, so daβ F∗(C(z)) das direkte Produkt einer extraspeziellen 2-Gruppe von kleiner Weite mit einer elem…

1980

Endliche einfache Gruppen mit einer zentralisatorgleichen elementar abelschen Untergruppe von der Ordnung 16

1977

Hierbei ist HiS die sporadische Higmar-Sims-Gruppe. Mit C, bezeichnen wir die dritte Conway-Gruppe. Die Gruppe He ist die in [l l] beschriebene sporadische einfache Gruppe. Eine Gruppe hat r(G) < 4, falls sich jede 2-Untergruppe von G mit hijchstens vier Elementen erzeugen IalIt. Zu den Gruppen mit Sylow 2-Untergruppe vom Typ A,, bzw. L,,(q) vergleiche [17]. Die Bezeichnungen folgen denen aus [4] und [17]. In [17] wurden Gruppen untersucht, die eine Untergruppe E mit / E 1 < 16 besitzten, so dal3 O,(No(E)/EC,(E)) = 1 ist. Zum Beweis von Satz A geniigt es also Gruppen zu untersuchen, in denen O,(No(E)/C,(E)E) # 1 ist. Da No(E) nicht auf&bar ist, ist weiter E elementar abelsch von der Ordnung…

A posteriori estimates for the stationary Stokes problem in exterior domains

2020

This paper is concerned with the analysis of the inf-sup condition arising in the stationary Stokes problem in exterior domains and applications to the derivation of computable bounds for the distance between the exact solution of the exterior Stokes problem and a certain approximation (which may be of a rather general form). In the first part, guaranteed bounds are deduced for the constant in the stability lemma associated with the exterior domain. These bounds depend only on known constants and the stability constant related to bounded domains that arise after suitable truncations of the unbounded domains. The lemma in question implies computable estimates of the distance to the set of di…

TWO-DIMENSIONAL FINITE STATE RECOGNIZABILITY

1996

The purpose of this paper is to investigate about a new notion of finite state recognizability for two-dimensional (picture) languages. This notion takes as starting point the characterization of one-dimensional recognizable languages in terms of local languages and projections. Such notion can be extended in a natural way to the two-dimensional case. We first introduce a notion of local picture language and then we define,a recognizable picture language as a projection of a local picture language. The family of recognizable picture languages is denoted by REC. We study some combinatorial and language-theoretic properties of family REC. In particular we prove some closure properties with re…

Some Results on p-Nilpotence and Solubility of Finite Groups

2000

Varieties with at most cubic growth

2019

Abstract Let V be a variety of non necessarily associative algebras over a field of characteristic zero. The growth of V is determined by the asymptotic behavior of the sequence of codimensions c n ( V ) , n = 1 , 2 , … , and here we study varieties of polynomial growth. We classify all possible growth of varieties V of algebras satisfying the identity x ( y z ) ≡ 0 such that c n ( V ) C n α , with 1 ≤ α 3 , for some constant C. We prove that if 1 ≤ α 2 then c n ( V ) ≤ C 1 n , and if 2 ≤ α 3 , then c n ( V ) ≤ C 2 n 2 , for some constants C 1 , C 2 .

The enveloping algebra of the Lie superalgebra osp(1,2)

1990

International audience

Asymptotic behavior of an odd-order delay differential equation

2014

Published version of an article in the journal: Boundary Value Problems. Also available from the publisher at: http://dx.doi.org/10.1186/1687-2770-2014-107 Open Access We study asymptotic behavior of solutions to a class of odd-order delay differential equations. Our theorems extend and complement a number of related results reported in the literature. An illustrative example is provided.