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设X,Y为拓扑空间,f:X→Y,g:y→X.该文证明了下列结论:对每一自然数n, (1)f(Fix((g o,f)n))=Fix((f o g)n),g(Fix((f og )n))=Fix(g o f)n),且#Fix((g o f)n)= #Fix((f o g)n);(2)R((g o f)n)=R((f o g)n). 相似文献
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《复变函数与椭圆型方程》2012,57(12):1115-1119
Let D be a bounded convex domain and Hol c (D,D) the set of holomorphic maps from D to C n with image relatively compact in D. Consider Hol c (D,D) as a open set in the complex Banach space H ∞ n (D) of bounded holomorphic maps from D to C n . We show that the map τ: Hol c (D,D) → D (called the Heins map for D equals to the unit disc of C) which associates to ? ∈ Hol c (D,D) its unique fixed point τ? ∈ D is holomorphic and its differential is given by dτ?(v) = (Id-dfτ(?))?1 v(τ(?)) for v ∈ H ∞ n (D). 相似文献
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In this paper we consider jets taken at a fixed boundary point of germs of holomorphic diffeomorphisms which send one strongly pseudoconvex domain into another. We completely describe possible first and second jets and conditions of extremality in terms of the Chern-Moser normal forms of the domains. 相似文献
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Razvan Gabriel Iagar Ariel Sánchez 《Journal of Mathematical Analysis and Applications》2009,351(2):635-652
In this paper we continue the study of the radial equivalence between the porous medium equation and the evolution p-Laplacian equation, begun in a previous work. We treat the cases m<0 and p<1. We perform an exhaustive study of self-similar solutions for both equations, based on a phase-plane analysis and the correspondences we discover. We also obtain special correspondence relations and self-maps for the limit case m=−1, p=0, which is particularly important in applications in image processing. We also find self-similar solutions for the very fast p-Laplacian equation that have finite mass and, in particular, some of them that conserve mass, while this phenomenon is not true for the very fast diffusion equation. 相似文献
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XuAnZHAO 《数学学报(英文版)》2004,20(6):1131-1134
In this paper the classification of maps from a simply connected space X to a flag manifold G/T is studied. As an application, the structure of the homotopy set for self-maps of flag manifolds is determined. 相似文献
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