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991.
992.
993.
Miroslav Bartušek 《Georgian Mathematical Journal》1996,3(4):301-314
Sufficient conditions are given for the existence of oscillatory proper solutions of a differential equation with quasiderivativesL
n
y=f(t,L
0
y, ..., L
n–1
y) under the validity of the sign conditionf(t,x
1
,...,x
n
)x
10,f(t,0,x
2
,...,x
n
)=0 on + x
n
. 相似文献
994.
An analogue of Kattov's theorem on the equality between the dimension of a Tychonov space and the analytic dimension of its ring of bounded real-valued continuous maps is established for proximity spaces and proximally continuous maps by an internal method of proof. A new kind of filter, called proximally prime filter, arises naturally as a tool in this theory. 相似文献
995.
Martin W. Liebeck 《Proceedings of the American Mathematical Society》1996,124(10):2961-2966
We show that if is a finite vector space, and is a subgroup of having the same orbit sizes on 1-spaces as an orthogonal or unitary group on , then, with a few exceptions, is itself an orthogonal or unitary group on .
996.
Weak separation properties for self-similar sets 总被引:5,自引:0,他引:5
Martin P. W. Zerner 《Proceedings of the American Mathematical Society》1996,124(11):3529-3539
We develop a theory for self-similar sets in that fulfil the weak separation property of Lau and Ngai, which is weaker than the open set condition of Hutchinson.
997.
The aim of this work is to construct a cohomology theory controlling the deformations of a general Drinfel'd algebra and thus finish the program which began in [13], [14]. The task is accomplished in three steps. The first step, which was taken in the aforementioned articles, is the construction of a modified cobar complex adapted to a non-coassociative comultiplication. The following two steps each involves a new, highly non-trivial, construction. The first construction, essentially combinatorial, defines a differential graded Lie algebra structure on the simplicial chain complex of the associahedra. The second construction, of a more algebraic nature, is the definition of a map of differential graded Lie algebras from the complex defined above to the algebra of derivations on the bar resolution. Using the existence of this map and the acyclicity of the associahedra we can define a so-called homotopy comodule structure (Definition 3.3 below) on the bar resolution of a general Drinfel'd algebra. This in turn allows us to define the desired cohomology theory in terms of a complex which consists, roughly speaking, of the bimodule and bicomodule maps from the bar resolution to the modified cobar resolution. The complex is bigraded but not a bicomplex as in the Gerstenhaber-Schack theory for bialgebra deformations. The new components of the coboundary operator are defined via the constructions mentioned above. The results of the paper were announced in [12].
998.
Yves Martin 《Transactions of the American Mathematical Society》1996,348(12):4825-4856
Let be the Dedekind -function. In this work we exhibit all modular forms of integral weight , for positive integers and and arbitrary integers , such that both and its image under the Fricke involution are eigenforms of all Hecke operators. We also relate most of these modular forms with the Conway group via a generalized McKay-Thompson series.
999.
1000.