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41.
We use methods of harmonic analysis and group representation theory to estimate the memory decay of the inverse operators in Banach spaces. The memory of the operators is defined using the notion of the Beurling spectrum. We obtain a general continuous non-commutative version of the celebrated Wiener's Tauberian Lemma with estimates of the “Fourier coefficients” of inverse operators. In particular, we generalize various estimates of the elements of the inverse matrices. The results are illustrated with a variety of examples including integral and integro-differential operators. 相似文献
42.
We prove a hypergraph version of Hall's theorem. The proof is topological. © 2000 John Wiley & Sons, Inc. J Graph Theory 35: 83–88, 2000 相似文献
43.
This article deals with the problem where n = p. The authors prove that a Hardy inequality and the constant (p/p-1)p is optimal. They also prove the existence of a nontrivial solution of the above mentioned problem by using the Mountain Pass Lemma. 相似文献
44.
LinFanMAO YanPeiLIU FengTIAN 《数学学报(英文版)》2005,21(2):225-236
A graph is called a semi-regular graph if its automorphism group action on its ordered pair of adjacent vertices is semi-regular. In this paper, a necessary and sufficient condition for an automorphism of the graph F to be an automorphism of a map with the underlying graph F is obtained. Using this result, all orientation-preserving automorphisms of maps on surfaces (orientable and non-orientable) or just orientable surfaces with a given underlying semi-regular graph F are determined. Formulas for the numbers of non-equivalent embeddings of this kind of graphs on surfaces (orientable, non-orientable or both) are established, and especially, the non-equivalent embeddings of circulant graphs of a prime order on orientable, non-orientable and general surfaces are enumerated. 相似文献
45.
46.
Jonathan A. Hillman 《Topology and its Applications》1991,40(3):275-286
We show that a closed 4-manifold is homotopy equivalent to the total space of a surface bundle over a surface if the obviously necessary conditions on the fundamental group and Euler characteristic hold. When the base is the 2-sphere we need also conditions on the characteristic classes of the manifold. (Our results are incomplete when the base is the projective plane.) In most cases we can show the manifold is s-cobordant to the total space of the bundle. 相似文献
47.
Ali Al-aati Chunhua WangJing Zhao 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(14):4847-4861
In this paper, we study the existence of positive solutions to the following semilinear elliptic equation with a Sobolev-Hardy term
(0.1) 相似文献
48.
Claudia Chaio 《代数通讯》2013,41(12):4419-4424
We characterize the finiteness of the representation type of an artin algebra in terms of the behavior of the projective covers and the injective envelopes of the simple modules with respect to the infinite radical of the module category. In case the algebra is representation-finite, we show that the nilpotency of the radical of the module category is the maximal depth of the composites of these maps, which is independent from the maximal length of the indecomposable modules. 相似文献
49.
50.
Haiping Shi 《Journal of Difference Equations and Applications》2013,19(9):1121-1130
By using the critical point theory, some sufficient conditions for the existence and multiplicity of the boundary value problems to a class of second order functional difference equations are obtained. 相似文献