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1.
Miklós Dormán 《Algebra Universalis》2008,58(4):479-492
In this paper we determine all collapsing transformation monoids that contain at least one unary constant operation and whose
nonconstant operations are permutations. Furthermore, we find an infinite family of transformation monoids that consist of
at least three unary constant operations and some permutations for which the corresponding monoidal intervals are 2-element
chains.
This research is supported by Hungarian National Foundation for Scientific Research grant nos. T 37877 and K 60148. 相似文献
2.
N. N. Yusupova 《Russian Mathematics (Iz VUZ)》2009,53(5):38-47
For a class of Dirichlet series defined by a certain convex growth majorant we establish conditions for a sequence of indices which provide the implementation of precise estimates for their increase and decrease on curves that tend to infinity in a special way. 相似文献
3.
We study a question of density of Lipschitz mappings in the Sobolev class of mappings from a closed manifold into a singular
space. The main result of the paper, Theorem 1.7, shows that if we change the metric in the target space to a bi-Lipschitz
equivalent one, then the property of the density of Lipschitz mappings may be lost. Other main results in the paper are Theorems
1.2, 1.3, 1.6, 1.8.
This work was supported by the NSF grant DMS-0500966.
Received: June 2005 Revision: December 2005 Accepted: January 2006 相似文献
4.
A. Kwiatkowska 《Acta Mathematica Hungarica》2008,121(3):229-242
We give necessary and sufficient conditions for a function f: [0, 1] → {1,2,...,w, c} under which there exists a continuous function F: [0, 1] → [0, 1] such that for every y ɛ [0, 1], |F
−1 (y)| = f(y).
相似文献
5.
D. N. Georgiou 《Rendiconti del Circolo Matematico di Palermo》2003,52(1):145-157
Function spaces play an important role in complex analysis, in the theory of differential equations, in functional analysis
and in almost every other branch of modern mathematics. In this paper we give and study the notion of clopen convergence.
Also, we study the notion of clopen continuity and define new topologies on function spaces. These results generalize basic
results of R. Arens, J. Dugundji and A. Di Concilio (see [1], [4], [2] and [3]). 相似文献
6.
I. Kocsis 《Acta Mathematica Hungarica》2008,118(4):307-312
Let X ⊂ ℝ be an interval of positive length and define the set Δ = {(x, y) ∈ X × X | x ≧ y}. We give the solution of the equation
which holds for all (x, y) ∈ Δ and (u, υ) ∈ Δ, where the functions F: X → X, G
1: Δ → X, G
2: Δ → X, and G: F(X, X) × F(X, X) → X are continuous and strictly monotonic in each variable.
This research was supported by the Hungarian Scientific Research Fund (OTKA), grant No. T-043080. 相似文献
7.
Some remarks on trigonometric sums 总被引:1,自引:1,他引:0
Let
where m
1 < m
2 < … < m
t
≦ , δ
x
→ 0, p runs over the primes p ≧ ≦ 1, |X
p
| ≦ 1. It is assumed that m
v
, , X
p
may depend on x.
Assume that . It is proved that
for almost all irrational α, π(x) = number of primes up to x.
Research supported by the Applied Number Theory Research Group of the Hungarian Academy of Science and by a grant from OTKA
T46993. 相似文献
8.
Jean Bourgain 《Geometric And Functional Analysis》2009,18(5):1477-1502
The main result of this paper is an exponential sum bound in prime fields for multilinear expressions of the type under nearly optimal conditions on . It provides the expected generalization of the well-known inequality for r = 2. We also establish a new result on Gauss sums for multiplicative subgroups H of , obtaining a nontrivial estimate provided . This is a further improvement on [BGK].
Received: May 2007, Revision: October 2007, Accepted: October 2007 相似文献
9.
Nicholas M. Katz 《Geometric And Functional Analysis》2008,18(4):1251-1269
We give sharp estimates for certain families of exponential sums in several variables over finite fields.
Received: May 2007, Accepted: September 2007 相似文献
10.
We study the operad of finite labeled tournaments. We describe the structure of suboperads of this operad generated by simple tournaments. We prove that a suboperad generated by a tournament with two vertices (i.e., the operad of finite linearly ordered sets) is isomorphic to the operad of symmetric groups, and a suboperad generated by a simple tournament with more that two vertices is isomorphic to the quotient operad of the free operad with respect to a certain congruence. We obtain this congruence explicitly. 相似文献
11.
Vladimir Turaev 《Japanese Journal of Mathematics》2007,2(1):1-39
We discuss a topological approach to words introduced by the author in [Tu2]–[Tu4]. Words on an arbitrary alphabet are approximated
by Gauss words and then studied up to natural modifications inspired by the Reidemeister moves on knot diagrams. This leads
us to a notion of homotopy for words. We introduce several homotopy invariants of words and give a homotopy classification
of words of length five.
Based on notes by Eri Hatakenaka, Daniel Moskovich, and Tadayuki Watanabe 相似文献
12.
13.
For k an algebraic closure of the finite field , ℓ prime distinct from p and X a surface over k, we prove that the field of rational functions k(X) can be recovered from the maximal pro-ℓ-quotient of its absolute Galois group – in fact already from the second central descending series quotient of .
Submitted: July 2004, Revision: October 2005, Final revision: February 2008, Accepted: February 2008 相似文献
14.
Jackson Chan 《Geometric And Functional Analysis》2008,17(5):1416-1478
We study the one-dimensional discrete quasi-periodic Schr?dinger equation
. We introduce the notion of variations of potential and use it to define typical potential. We show that for typical
C
3 potential V, if the coupling constant λ is large, then for most frequencies ω, the Lyapunov exponent is positive for all energies E.
Received: December 2005, Accepted: March 2006 相似文献
15.
In this paper we establish conditions under which a topology is continued from a subset of a group to a topology on the group coordinated with the group operation. 相似文献
16.
Tudor Zamfirescu 《Periodica Mathematica Hungarica》2008,57(2):227-230
Suppose a convex body wants to pass through a circular hole in a wall. Does its ability to do so depend on the thickness of the wall? In fact in most cases it does, and in this paper we present a sufficient criterion for a polytope to allow an affirmative answer to the question. 相似文献
17.
Anand Prakash Singh 《Proceedings Mathematical Sciences》1988,98(1):25-30
We study the slowly changing functions and use them in the study of entire functions.
An erratum to this article is available at . 相似文献
18.
Soon-Mo Jung Byungbae Kim 《Abhandlungen aus dem Mathematischen Seminar der Universit?t Hamburg》1999,69(1):293-308
A result of Skof and Terracini will be generalized; More precisely, we will prove that if a functionf : [-t, t]n →E satisfies the inequality (1) for some δ > 0 and for allx, y ∈ [-t, t]n withx + y, x - y ∈ [-t, t]n, then there exists a quadratic functionq: ℝn →E such that ∥f(x) -q(x)∥ < (2912n2 + 1872n + 334)δ for anyx ∈ [-t, t]
n
. 相似文献
19.
Under appropriate conditions on Abelian topological groups G and H, an orthogonality ⊥ ⊂ G
2 and a σ-algebra of subsets of G we decompose an -measurable function f: G → H which is orthogonally additive modulo a discrete subgroup K of H into its continuous additive and continuous quadratic part (modulo K).
Research supported by the Silesian University Mathematics Department (Functional Equations on Abstract Structures program
— the first author, and Iterative Functional Equations and Real Analysis program — the second author). 相似文献
20.
We study higher-rank Cartan actions on compact manifolds preserving an ergodic measure with full support. In particular, we
classify actions by
with k ≥ 3 whose one-parameter groups act transitively as well as nondegenerate totally nonsymplectic
-actions for k ≥ 3.
The first author is supported in part by NSF grants DMS-0140513. The second author is supported in part by NSF grant DMS-0203735.
Received: July 2005 Revision: March 2006 Accepted: March 2006 相似文献