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1.
Let ƒ: D → D′ be a proper holomorphic mapping between bounded domains D, D′ in ℂ2.Let M, M′ be open pieces on δD, δD′, respectively that are smooth, real analytic and of finite type. Suppose that the cluster
set of M under ƒ is contained in M′. It is shown that ƒ extends holomorphically across M. This can be viewed as a local version
of the Diederich-Pinchuk extension result for proper mappings in ℂ2. 相似文献
2.
Summary Variants of δ-normality and δ-normal separation called weakly (functionally) δ-normal spaces are introduced and studied. This
yields new factorizations of normality and δ-normality. A Urysohn type lemma and a Tietze type extension theorem for (weakly)
functionally δ-normal spaces are obtained. 相似文献
3.
Zhongkai Li 《分析论及其应用》1995,11(4):58-77
The purpose of this paper is to study the pointwise and almost everywhere convergence of the Cesàro means (C,δ) of Fourier-Jacobi
expansions, the main term of the Lebesgue constant of the (C,δ) means for −1<δ≤α+1/2 is obtained. With the aid of the generalized
translation in terms of Jacobi polynomials, pointwise convergence theorems of the (C,δ) means for δ>α+1/2 and equiconvergence
theorems for −1<δ≤α+1/2 are proved. The analogues of the Lebesgue, Salem and Young theorems of the Cesàro means at the critical
index δ=α+1/2 are established.
Supported by the Natural Science Foundation of Beijing 相似文献
4.
New concepts of fuzzy semi δ-V and fuzzy semi δ-Λ sets were introduced in our work “On fuzzy semi δ-Λ sets and fuzzy semi δ-V sets V-6,” J. Trip. Math. Soc., 6, 81–88 (2004). It was shown that the family of all fuzzy semi δ-V sets forms a fuzzy supra topological space on X denoted by (X, FS
δV
). The aim of this paper is to introduce the concept of fuzzy semi δ-V continuity in a fuzzy δ-V topological space. Finally, some properties, preservation theorems, etc., are studied.
Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 5, pp. 712–717, May, 2008. 相似文献
5.
On the Construction of Affine Extractors 总被引:1,自引:0,他引:1
Jean Bourgain 《Geometric And Functional Analysis》2007,17(1):33-57
In this paper, we address the problem of explicit construction of so-called ‘affine extractors’ of δ-entropy ratio, when δ
≤ 1/2 (for δ > 1/2, there is a well-known and easy example based on the Hadamard function). We first give examples for δ
slightly below 1/2 and produce then a construction for arbitrary given δ > 0. All these examples are again of a simple algebraic
nature. The mathematics involved includes recent developments in the sum-product theory in finite fields and certain new bounds
on multilinear exponential sums.
Supported in part by NSF grant DMS 0322370.
Submitted: May 2005 Accepted: February 2006 相似文献
6.
Rémi Vaillancourt 《Israel Journal of Mathematics》1972,13(1-2):225-231
This lecture gives an inside look into the proof of the continuity of pseudo-differential operators of orderm and typep, δ1, δ2 for 0≦p≦δ1=1, 0≦p≦δ2<1, andm/n≦p≦(δ1+δ2)/2. Applications are mentioned. 相似文献
7.
8.
In this paper, we investigate the Lie algebra L(A,α,δ) of type L and obtain the respective sufficient conditions for L(A,α,δ δ to be semisimple, and for Z(ω) = Fω as well, where 0 ≠ ω Є L(A, α, δ, δ) and Z(ω) is the centralizer of ω. 相似文献
9.
G. A. Chechkin 《Journal of Mathematical Sciences》2006,139(1):6351-6362
A problem for the Laplace operator is considered in a three-dimensional unbounded domain with singular density. The density,
depending on a small positive parameter ε, is equal to 1 outside small inclusions, and is equal to (δε)−m in these inclusions. These domains, concentrated masses of diameter εδ, are located along the plane part of the boundary
at the distance of order O(δ), where δ = δ(ε). The Dirichlet condition is imposed on the boundary parts tangent to the concentrated
masses. We construct the limit (averaged) operator and study the asymptotic behavior of solutions to the original problem
with m < 1.
__________
Translated from Problemy Matematicheskogo Analiza, No. 33, 2006, pp. 103–111. 相似文献
10.
Fabio Conforto 《Annali di Matematica Pura ed Applicata》1948,27(1):273-291
Sunto. Si precisa la natura del problema di determinare le trasformazioni in sè della varietà quasi abeliana diJacobi, relativa ad una curva di genere virtualeπ, ottenuta da una curva di genere effettivop considerando su questaδ
1 coppie neutre a punti distinti eδ
2 coppie neutre a punti coincidenti, in modo che siaπ=p+δ
1+δ2. Come nel coso abeliano (δ
1=δ2=0), tale problema ha un aspetto aritmetico, che si collega alla considerazione di relazioni, che generalizzano quelle note
diHurwitz. Nel casop=0 si trovano tutte le trasformazioni in sè dellaV
π diJacobi, mostrando che queste costituiscono un gruppo formato sempre da infinite schiere ∞π (tranne nel casoπ=δ
1=1, δ2=0), dipendenti da parametri in parte variabili in modo continuo ed in parte in modo discreto. Le trasformazioni sono tutte
birazionali seδ
1=0 oδ
2=0, mentre seδ
1 ≠ 0 eδ
2 ≠ 0 si presentano anche trasformazioni trascendenti. 相似文献
11.
Won Keun Min 《Acta Mathematica Hungarica》2010,129(4):350-356
We introduce the notion of (δ,δ′)-continuous functions on generalized topological spaces and investigate characterizations for such functions. We study the
relationship between (δ,δ′)-continuity and several types of continuity on generalized topological spaces. 相似文献
12.
Let G be a claw-free graph with order n and minimum degree δ. We improve results of Faudree et al. and Gould & Jacobson, and solve two open problems by proving the
following two results. If δ = 4, then G has a 2-factor with at most (5n − 14)/18 components, unless G belongs to a finite class of exceptional graphs. If δ ≥ 5, then G has a 2-factor with at most (n − 3)/(δ − 1) components, unless G is a complete graph. These bounds are best possible in the sense that we cannot replace 5/18 by a smaller quotient and we
cannot replace δ − 1 by δ, respectively. 相似文献
13.
Arthur W. Apter 《Archive for Mathematical Logic》2008,47(2):101-110
If κ < λ are such that κ is indestructibly supercompact and λ is measurable, then we show that both A = {δ < κ | δ is a measurable cardinal which is not a limit of measurable cardinals and δ carries the maximal number of normal measures} and B = {δ < κ | δ is a measurable cardinal which is not a limit of measurable cardinals and δ carries fewer than the maximal number of normal measures} are unbounded in κ. The two aforementioned phenomena, however, need not occur in a universe with an indestructibly supercompact cardinal and
sufficiently few large cardinals. In particular, we show how to construct a model with an indestructibly supercompact cardinal
κ in which if δ < κ is a measurable cardinal which is not a limit of measurable cardinals, then δ must carry fewer than the maximal number of normal measures. We also, however, show how to construct a model with an indestructibly
supercompact cardinal κ in which if δ < κ is a measurable cardinal which is not a limit of measurable cardinals, then δ must carry the maximal number of normal measures. If we weaken the requirements on indestructibility, then this last result
can be improved to obtain a model with an indestructibly supercompact cardinal κ in which every measurable cardinal δ < κ carries the maximal number of normal measures.
A. W. Apter’s research was partially supported by PSC-CUNY grants and CUNY Collaborative Incentive grants. In addition, the
author wishes to thank the referee, for helpful comments, corrections, and suggestions which have been incorporated into the
current version of the paper. 相似文献
14.
V. A. Sharafutdinov 《Journal of Mathematical Sciences》1999,94(2):1261-1262
The problem of finding a distribution of the sources of particles (or radiation) in a bounded domain D by the outputting flow
through the boundary δD is considered. It is assumed that the domain D is filled with a medium whose absorption, scattering
diagram, and Riemannian metric are known. Under certain assumptions on these characteristics of the medium, the uniqueness
of a solution and its stability are proved.
Published inZapiski Nauchnykh Seminarov POMI, Vol. 234, 1996, pp. 187–189. 相似文献
15.
Given a function f on a surface and a tolerance δ>0, we construct a function f
δ
subject to ‖f
δ
−f‖∞≤δ such that f
δ
has a minimum number of critical points. Our construction relies on a connection between discrete Morse theory and persistent
homology and completely removes homological noise with persistence ≤2δ from the input function f. The number of critical points of the resulting simplified function f
δ
achieves the lower bound dictated by the stability theorem of persistent homology. We show that the simplified function can
be computed in linear time after persistence pairs have been computed. 相似文献
16.
We characterize δ-I-sets, discuss the relation between δ-sets, δ-I-sets and I
δ-sets and generalize some of the results. 相似文献
17.
18.
For a ring R and a right R-module M, a submodule N of M is said to be δ-small in M if, whenever N+X=M with M/X singular, we have X=M. Let ℘ be the class of all singular simple modules. Then δ(M)=Σ{ L≤ M| L is a δ-small submodule of M} = Re
jm(℘)=∩{ N⊂ M: M/N∈℘. We call M δ-coatomic module whenever N≤ M and M/N=δ(M/N) then M/N=0. And R is called right (left) δ-coatomic ring if the right (left) R-module R
R(RR) is δ-coatomic. In this note, we study δ-coatomic modules and ring. We prove M=⊕
i=1
n
Mi is δ-coatomic if and only if each M
i (i=1,…, n) is δ-coatomic. 相似文献
19.
We deal with the problem of preserving various versions of completeness in (<κ)-support iterations of forcing notions, generalizing the case “S-complete proper is preserved by CS iterations for a stationary costationaryS⊆ω
1”. We give applications to Uniformization and the Whitehead problem. In particular, for a strongly inaccessible cardinalκ and a stationary setS⊆κ with fat complement we can have uniformization for every (A
δ
:δ ∈S′),A
δ
⊆δ = supA
δ
, cf (δ) = otp(A
δ
) and a stationary non-reflecting setS′⊆S (see B.8.2).
Research supported by The German-Israeli Foundation for Scientific Research & Development Grant No. G-294.081.06/93 and by
The National Science Foundation Grant No. 144-EF67. Publication No. 587. 相似文献
20.
O. Yu. Teplins’kyi 《Ukrainian Mathematical Journal》2008,60(2):310-326
We prove that any C3+β-smooth diffeomorphism preserving the orientation of a circle with rotation number from the Diophantine class Dδ, 0 < β < δ < 1, is C2+β−δ-smoothly conjugate to a rigid rotation of the circle by a certain angle.
__________
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 2, pp. 268–282, February, 2008. 相似文献