共查询到20条相似文献,搜索用时 15 毫秒
1.
Letf be a real analytic function of a real variable such that 0 is an isolated (possibly essential) singularity off. In the existing literature the coefficients of the Laurent series expansion off around 0 are obtained by applying Cauchy's integral formula to the analytic continuation off on the complex plane. Here by means of a conformal mapping we derive a formula which determines the Laurent coefficients
off solely in terms of the values off and the derivatives off at a real point of analyticity off. Using a more complicated mapping, we similarly determine the coefficients of the Laurent expansion off around 0 where now 0 is a singularity off which is not necessarily isolated. 相似文献
2.
We prove the following theorem for a finitely generated field K: Let M be a Galois extension of K which is not separably closed. Then M is not PAC over K.
Research supported by the Minkowski Center for Geometry at Tel Aviv University, established by the Minerva Foundation.
This work constitutes a part of the Ph.D. dissertation of L. Bary-Soroker done at Tel Aviv University under the supervision
of Prof. Dan Haran. 相似文献
3.
Niamh O’Sullivan 《Archiv der Mathematik》2007,88(1):1-11
In this paper we prove that rational indecomposability is a genus property for finitely generated torsion-free nilpotent groups
of class 2. We use this result to determine the genus of finitely generated torsion-free nilpotent groups of class 2 which
decompose as a direct product of rationally indecomposable groups.
Received: 3 November 2005 相似文献
4.
Piotr Jucha 《Archiv der Mathematik》2008,90(6):559-571
We discuss the properties of the Wu pseudometric and present counterexamples for its upper semicontinuity that answers the
question posed by Jarnicki and Pflug. We also give formulae for the Wu pseudometric in elementary Reinhardt domains.
Received: 12 September 2007 相似文献
5.
Matsuoka showed an asymptotic formula for the coefficients of the Laurent expansion of ζ (s) at s = 1. In the present paper we extend this result to a large class of Dirichlet series which was first studied by Chandrasekharan
and Narasimhan. Our proofs are based on a saddle point argument and use the fact that the Dirichlet series under consideration
admit a functional equation.
The second author was supported by the FWF project S381O. 相似文献
6.
Nahum Zobin 《Journal of Geometric Analysis》1999,9(3):491-511
Consider the Sobolev space W
∞
k
(Ω) of functions with bounded kth derivatives defined in a planar domain. We study the problem of extendability of functions
from W
∞
k
(Ω) to the whole ℝ2 with preservation of class, i.e., surjectivity of the restriction operator W
∞
k
(ℝ2) → W
∞
k
(Ω). 相似文献
7.
8.
Gerd Faltings 《Milan Journal of Mathematics》2008,76(1):93-123
We show that formal groups can be used to simplify the construction of Néron models. Also we give a new proof of the stable
reduction theorem for abelian varieties.
Received: September 2007 相似文献
9.
Victor Palamodov 《Advances in Applied Clifford Algebras》2009,19(2):417-425
The paper addresses the Levi problem for a system of n Fueter equations in a domain in quaternionic space . This problem relates to various conditions of convexity and pseudoconvexity of the boundary of the domain.
Received: October, 2007, Accepted: February, 2008. 相似文献
10.
Christine Bessenrodt 《Archiv der Mathematik》2007,89(1):1-9
Starting from the question when all irreducible p-Brauer characters for a symmetric or an alternating group are of p-power degree, we classify the p-modular irreducible representations of p-power dimension in some families of representations for these groups. In particular, this then allows to confirm a conjecture
by W. Willems for the alternating groups.
Received: 14 June 2006 相似文献
11.
Let R be a real closed field and L be a finite extension of R(t). We prove that Gal(L) ≅ Gal(R(t)) if L is formally real and Gal(L) is the free profinite group of rank card (R) if L is not formally real.
Received: 3 April 2007 相似文献
12.
We prove that the so-called Smoluchowski-Kramers approximation holds for a class of partial differential equations perturbed
by a non-Gaussian noisy term. Namely, we show that the solution of the one-dimensional semi-linear stochastic damped wave
equations
, u(0) = u0, ut (0) = v0, endowed with Dirichlet boundary conditions, converges as the parameter μ goes to zero to the solution of the semi-linear
stochastic heat equation
, u(0) = u0, endowed with Dirichlet boundary conditions.
Dedicated to Giuseppe Da Prato on the occasion of his 70th birthday 相似文献
13.
Let ∑ be either an oriented hyperplane or the unit sphere in
, let
be open and connected and let
be an open and connected domain in
such that
. If in
is a null solution of the Dirac operator (also called a monogenic function in
) which is continuously extendable to
, then conditions upon
are given enabling the monogenic extension of
across
. In such a way Schwarz reflection type principles for monogenic functions are established in the Spin (1) and Spin
cases. The Spin (1) case includes the classical Schwarz reflection principle for holomorphic functions in the plane. The
Spin
case deals with so-called “half boundary value problems” for the Dirac operator.
Received: 2 February 2006 相似文献
14.
Ricardo Abreu Blaya Juan Bory Reyes Dixan Peña Peña Frank Sommen 《Advances in Applied Clifford Algebras》2007,17(2):145-152
Starting with an integral representation for the class of continuously differentiable solutions
of the system
where
is the complex Clifford algebra constructed over
are some suitable Clifford vectors and
their corresponding Dirac operators, we define the isotonic Cauchy transform and establish the Sokhotski-Plemelj formulae.
Some consequences of this result are also derived. 相似文献
15.
In this paper, we investigate several interesting subordination results of some classes of analytic functions defined by means
of the Al-Oboudi–Al-Amoudi operator.
Received: 15 August 2008, Revised: 19 November 2008 相似文献
16.
A. Georgakopoulos 《Abhandlungen aus dem Mathematischen Seminar der Universit?t Hamburg》2006,76(1):235-245
We construct infinite planar graphs of arbitrarily large connectivity and girth, and study their separation properties. These
graphs have no thick end but continuum many thin ones. Every finite cycle separates them, but they corroborate Diestel’s conjecture
that everyk-connected locally finite graph contains a possibly infinite cycle — see [3] — whose deletion leaves it (k — 3)-connected. 相似文献
17.
We consider a class of elliptic operators
with unbounded coefficients in a smooth exterior domain Ω and we prove that the Cauchy-Neumann problem associated with
admits, for any bounded and continuous initial datum, a unique bounded classical solution. We also provide pointwise gradient
estimates for such a solution.
Received: 5 July 2005; Revised: 20 December 2005 相似文献
18.
Joseph Lehec 《Archiv der Mathematik》2009,92(1):89-94
We give a direct proof of a functional Santaló inequality due to Fradelizi and Meyer. This provides a new proof of the Blaschke-Santaló
inequality. The argument combines a logarithmic form of the Prékopa-Leindler inequality and a partition theorem of Yao and
Yao.
Received: 21 August 2008 相似文献
19.
Let
We show that for every function
satisfying the conditional equation
either there exists a solution
of the Goab-Schinzel equation
such that
(i.e., f(x) = g(x) for
) or there is x0 > 0 with f(x0) < –1 and f(x) = 0 for x x0 . In particular we determine the solutions
of the conditional equation that are continuous at a point, Lebesgue measurable or Baire measurable (i.e., have the Baire property). In this way we solve some problems raised by the first author.Received: 2 March 2004 相似文献
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