排序方式: 共有39条查询结果,搜索用时 0 毫秒
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S. V. Khrushchev 《Journal of Mathematical Sciences》1987,36(3):435-438
A set, is said to be determining if for any measure on the circumference such that one has the inequality, in the paper one shows that the upper density of any determining set is positive. On the other hand, there exist subsets of the set+ having arbitrarily small density.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 107, pp. 222–227, 1982. 相似文献
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S. V. Khrushchev 《Journal of Mathematical Sciences》1983,22(6):1829-1832
Let E be a compact subset of the complex plane ?, having positive planar Lebesgue measure. Then there exists a nonconstant function f, analytic in the domain ? É, satisfying the Lipschitz condition In this note there is given a simple proof of the theorem of N. X. Uy, formulated above. It is also proved that each bounded measurable function α, defined on the set E, can be revised on a set of small Lebesgue measure so that for the function ? obtained the Cauchy integral satisfies condition (1). 相似文献
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Sergei Khrushchev 《Journal of Approximation Theory》2001,108(2):249
There exist singular Riesz products dσ=∏∞κ=1 (1+Re(ακζnκ)) on the unit circle
with the parameters (an)n0 of orthogonal polynomials in L2(dσ) satisfying ∑∞n=0 |an|p<+∞ for every p, p>2. The Schur parameters of the inner factor of the Cauchy integral ∫
(ζ−z)−1 dσ(ζ), σ being such a Riesz product, belong to ∩p>2 lp. 相似文献
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S. Khrushchev 《Journal of Approximation Theory》2006,139(1-2):371
This paper develops a techniques of Wall pairs for the study of periodic exposed quadratic irrationalities in the unit ball of the Hardy algebra. 相似文献
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S. Khrushchev 《Journal of Approximation Theory》2006,139(1-2):402
In this paper the ideas of Algebraic Number Theory are applied to the Theory of Orthogonal polynomials for algebraic measures. The transferring tool are Wall continued fractions. It is shown that any set of closed arcs on the circle supports a quadratic measure and that any algebraic measure is either a Szegö measure or a measure supported by a proper subset of the unit circle consisting of a finite number of closed arcs. Singular parts of algebraic measures are finite sums of point masses. 相似文献
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O.A. Belozerova V.I. Deigin A.Yu. Khrushchev M.A. Dubinnyi V.S. Kublitski 《Tetrahedron》2018,74(13):1449-1453
Recently, a novel lignan sevanol was isolated from the thyme plant Thymus armeniacus. During structure-functional elucidation it showed significant biological activity on ASIC3 acid sensing channels. Herein we describe the first synthesis of sevanol with a 3% overall yield. The construction of a dihydronaphthalene ring by oxidative dimerization of a protected dihydroxycinnamic acid ester in the presence of ferric chloride (III) is a key step in this first total synthesis of sevanol. 相似文献