共查询到20条相似文献,搜索用时 31 毫秒
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A. P. Oskolkov 《Journal of Mathematical Sciences》1983,21(3):383-399
For the nonstationary quasilinear system one proves theorems of (local) existence and uniqueness of the generalized solution with a finite energy integral ; different variants of regularizing systems are constructed for which the generalized solution with a finite energy integral exists globally. 相似文献
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A. M. Kotochigov 《Journal of Mathematical Sciences》1978,9(2):274-276
In this paper one considers the following classes of functions, analytic in the circle of the complex plane: , . One establishes that the well-known Carleson condition is necessary and sufficient for the solvability of the interpolation problems, intrinsic for the given class, on sets lying along a ray. In this connection, the class of sequences to be interpolated is described in terms of divided differences of order S. See also author's paper, Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,30, 167–169 (1972). 相似文献
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A. L. Varfolomeev 《Journal of Mathematical Sciences》1983,22(6):1709-1718
Let be a positive number. A function f analytic in an open set ? ?? is called -analytic on the set E, E ??, if . THEOREM. Let K be a compact connected subset of the plane. For any >0 there exists an open neighborhood V of the set K such that any function -analytic on K coincides in some neighborhood of the set K with a function analytic in V. This theorem answers a question posed in the collection (RZhMat., 1979, 3B536, pp. 33–35 of the book). 相似文献
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Ernst Albrecht 《manuscripta mathematica》1974,14(3):263-277
In this note we continue the study of -functional calculi in several variables (introduced in [1] and [2]). In the situation of an inverse closed (see Def. 1.2) basic algebra of type I or II we characterize the algebra generated by an arbitrary -functional calculus φ and prove several variants of the spectral mapping theorem, thus generalizing corresponding results of F.-H. Vasilescu [10] (see also the more general version in [4], Th. 3.2.1) to the case of several commuting operators. By means of the spectral mapping theorem we prove the decomposability (in the sense of St. Frunz? [6]) of m-tuples of the type (φ(f1),..., φ(fm)) with f1,...,fmε . 相似文献
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Luca Chiantini 《manuscripta mathematica》1981,36(2):125-145
We look for conditions which make two ideals and in a noetherian ring A have the same form ideal in an associated graded ring GA(α). More precisely, when and and fi?f'iεα m m?0, ? i , we give a necessary and sufficient condition to have , involving the first syzygies modules both of (f1,...,fn) and (f'1,...,f'n); our proof is based on the Artin-Rees lemma. Finally we show that, when the sequence f1,...,fn is regular and for an integer q, then f1?f'i ? αq+1 ? i implies . 相似文献
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Ya. Yu. Nikitin 《Journal of Mathematical Sciences》1983,21(1):93-99
Consider independent samples of sizen 1,n 2,... ,n 2 and the empirical distribtion constructed using these samples. We test the hypothesis that all the samples are drawn from a population with the same continuous distribution function F (x). The test statistic is the weight function) is defined as generalizes Kiefer's well-known statistic originally proposed for the case K=2 and q,= 1. A rough asymptotics is obtained for the probability of large deviations of the statistic , which allows to give explicit expressions for the Bahadur local exact slopes and to compare the statistics for various K and q in the sense of Bahadur efficiency. In conclusion, the question posed by Renyi is considered: to what extent is it advisable to use statistics of the type instead of pooling all the samples and using a one-sample test? 相似文献
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N. A. Shirokov 《Journal of Mathematical Sciences》1983,22(6):1870-1872
Let ω be a modulus of continuity, be the class of all functions analytic in the unit disk of the complex plane and such that . A condition is given (depending essentially on ω), necessary for a nonnegative function defined on the unit circle to coincide with the modulus of some function of class . 相似文献
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Wolfgang Nolte 《Journal of Geometry》1974,4(1):53-90
This paper presents a system of axioms for n-dimensional metric geometry. For every group satisfying the axioms there exist a group-space and an embedding of into a projective-metric space Ω. We construct an isomorphism of onto a subgroup of a special orthogonal group O n+1 * (K,f). This group belongs to a metric vector space (V,f) over a field K of characteristic ≠ 2 where dim rad V≦1. The (full) groups o n+1 * (K,f) are models of the system of axioms. 相似文献
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Richard W. Cottle 《Mathematical Programming》1980,19(1):347-351
A matrix is a real square matrixM such that for everyq the linear complementarity problem: Findw andz satisfyingw = q + Mz, w ≥ 0, z ≥ 0, w T z = 0, has a solution. We characterize the class of completely- matrices, defined here as the class of -matrices all of whose nonempty principal submatrices are also -matrices. 相似文献
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The ergodic and the intermixing theorems of Yu. V. Linnik (Mat. Sb.,43, No. 2, 257–276) are generalized to arbitrary positive quadratic forms of genus of , where Ω > 1 is an odd number, of invariants [Ω,1], defined by the character for all prime numbers ρ¦Ω. One obtains estimates for the remainder term. The method of proof is simplified. 相似文献
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N. G. Sidorenko 《Journal of Mathematical Sciences》1983,22(6):1856-1860
It is explained when the classes of p-absolutely summing and p-integral operators given on the space coincide. For a Banach space there is considered the following subset of the real line: . In the case when is an infinite-dimensional subspace of the space , it is proved that JX=(1,2] if , and JX?{2} if and χ is not isomorphic with a Hilbert space. 相似文献
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Janusz Kaptur 《Rendiconti del Circolo Matematico di Palermo》1981,30(3):471-476
LetX be a real linear space; if is a linear topology onX, let denote the class of all bounded with respect to subsets ofX. In this paper it is shown that the spaceX is algebraically finite dimensional if and only if the class of all convex, absorbing and radially bounded subsets ofX is included in the intersection of all , where runs the set of all linear topologies onX. 相似文献
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I. S. Kats 《Mathematical Notes》2007,81(3-4):302-307
We establish that the problem of constructing a strictly increasing singular function is equivalent to the problem of constructing subsets and of a closed interval [a; b] ? ? such that (1) ∩ = ø; (2) ∪ = [a; b]; (3) the Lebesgue measures of the intersections of and with an arbitrary interval J ? [a; b] are positive. 相似文献