共查询到20条相似文献,搜索用时 15 毫秒
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V. I. Ryazanov 《Ukrainian Mathematical Journal》1995,47(2):293-305
We prove a new convergence theorem for homeomorphisms of Sobolev class with a locally summable upper bound of deformations. This theorem allows us to generalize the known Strebel and Bers-Boyarskii convergence theorems.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 2, pp. 249–259, February, 1995. 相似文献
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We introduce and study some operators and functions induced by a quasisymmetric homeomorphism. By means of these operators and functions, we study when a quasisymmetric homeomorphism is symmetric or even belongs to the Weil-Petersson class. 相似文献
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Gerd Herzog 《Archiv der Mathematik》2001,77(3):215-221
Let f ? C(\Bbb Rn,\Bbb Rn) f\in C(\Bbb R^n,\Bbb R^n) be quasimonotone increasing such that Y(f(y)-f(x)) £ -c Y(y-x) (x << y) \Psi (f(y)-f(x)) \!\le -c \Psi (y-x) (x\ll y) for a linear and strictly positive functional Y \Psi and c > 0. We prove that f is a homeomorphism with decreasing and Lipschitz continuous inverse and we prove the global asymptotic stability of the equilibrium solution of x¢=f(x) x'=f(x) . 相似文献
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Tomasz Rybicki 《Topology and its Applications》2007,154(8):1561-1564
The long-standing problem of the perfectness of the compactly supported equivariant homeomorphism group on a G-manifold (with one orbit type) is solved in the affirmative. The proof is based on an argument different than that for the case of diffeomorphisms. The theorem is a starting point for computing H1(HG(M)) for more complicated G-manifolds. 相似文献
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We consider the problem of convergence of Fourier series when we make a change of variable. Under a certain reasonable hypothesis, we give a necessary and sufficient condition for a homeomorphism of the circle to transform absolutely convergent Fourier series into uniformly convergent Fourier series.
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Grzegorz Światek 《Bulletin of the Brazilian Mathematical Society》1998,29(2):329-351
We prove that an analytic circle homeomorphism without periodic orbits is conjugated to the linear rotation by a quasi-symmetric map if an only if its rotation number is of constant type. Next, we consider automorphisms of quasi-conformal Jordan curves, without periodic orbits and holomorphic in a neighborhood. We prove a Denjoy theorem that such maps are conjugated to a rotation on the circle.Dedicated to the memory of R. MañéPartially supported by NSF grant DMS-9704368 and the Sloan Foundation. 相似文献
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Ishay Weissman 《Probability Theory and Related Fields》1976,37(1):35-41
Let be an Euclidean space; Y
n
, Z, U random vectors in ; h
n
, g
n
affine transformations and let þ be a subgroup of the group G of all the in vertible affine transformations, closed relative to G. Suppose that gn
and
where Z is nonsingular. The behaviour of
n
= h
n
g
n
–1
as n is discussed first. The results are used then to prove that if
for all t(0, ), where h
n
þ and Z
1 is nonsingular and nonsymmetric with respect to þ then
H,
for all t(0,) and is a continuous homomorphism of the multiplicative group of (0, ) into þ. The explicit forms of the possible are shown. 相似文献
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Youri Davydov 《Statistics & probability letters》2012,82(1):145-150
We consider the problem of the convergence of the so-called LePage series in the Skorokhod space Dd=D([0,1],Rd) and provide a simple criterion based on the moments of the increments of the random process involved in the series. This provides a simple sufficient condition for the existence of an α-stable distribution on Dd with given spectral measure. 相似文献
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Terry Fuller 《Proceedings of the American Mathematical Society》2001,129(4):1247-1254
We show that there are homeomorphisms of closed oriented genus surfaces which are fiber-preserving with respect to an irregular branched covering and isotopic to the identity, but which are not fiber-isotopic to the identity.
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Publications mathématiques de l'IHÉS - 相似文献
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Fang Ainong 《数学学报(英文版)》1998,14(2):161-168
In this paper, a distortion theorem and some equicontinuity and compactness theorems are obtained for the homeomorphismf with the sphere dilatationH(x,f)∈L
loc(D).
Supported by the National Natural Science Foundation of China and the Dctoral Foundation of the Education Commission of China 相似文献
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Mariusz Lemańczyk 《Monatshefte für Mathematik》1989,108(1):39-46
Two strictly ergodic homeomorphism (on an infinite dimensional torus) are constructed, each of which is a continuous homomorphic image of the other, but which are not measure-theoretically isomorphic. 相似文献
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V. I. Rybakov 《Mathematical Notes》1996,59(5):543-546
In this paper some results that are known for extreme points of the unit ball in dual space are carried over to a more general case, namely to the case of the boundary of the ball ( B is the boundary of the unit ballB in the space dual toX if everyx X achieves its maximum value onB at some point of ). For example, it is established that if a set is bounded inX and countably compact in(X, ), then it is weakly compact inX.Translated fromMatematickeskie Zametki, Vol. 59, No. 5, pp. 753–758, May, 1996. 相似文献