共查询到20条相似文献,搜索用时 15 毫秒
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研究了闭极大三角代数的对角不交理想中有限秩算子的性质,并利用这些性质讨论了几种特殊的对角不交理想 相似文献
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Cyril Agrafeuil 《Proceedings of the American Mathematical Society》2006,134(11):3287-3294
Let be a sequence of positive real numbers. We define as the space of functions which are analytic in the unit disc , continuous on and such that where is the Fourier coefficient of the restriction of to the unit circle . Let be a closed subset of . We say that is a Beurling-Carleson set if where denotes the distance between and . In 1980, A. Atzmon asked whether there exists a sequence of positive real numbers such that for all and that has the following property: for every Beurling-Carleson set , there exists a non-zero function in that vanishes on . In this note, we give a negative answer to this question.
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C. J. Maxson 《代数通讯》2017,45(1):384-391
For several classes of groups G, we characterize when the near-ring M0(G) of 0-preserving selfmaps on G contains a unique maximal ring. Definitive results are obtained for finite Abelian, finite nilpotent, and finite permutation groups. As an application, we determine those finite groups G such that all rings in M0(G) are commutative. 相似文献
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Thomas Sauer 《Proceedings of the American Mathematical Society》2002,130(11):3335-3347
The paper identifies the multivariate analog of factorization properties of univariate masks for compactly supported refinable functions, that is, the ``zero at '-property, as containment of the mask polynomial in an appropriate quotient ideal. In addition, some of these quotient ideals are given explicitly.
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Alok Kumar Maloo 《Proceedings Mathematical Sciences》2006,116(3):267-270
It is shown that ifA is a regular local ring andI is a maximally differential ideal inA, thenI is generated by anA-sequence. 相似文献
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Arc-analytic roots of analytic functions are Lipschitz 总被引:2,自引:0,他引:2
Krzysztof Kurdyka Laurentiu Paunescu 《Proceedings of the American Mathematical Society》2004,132(6):1693-1702
Let be an arc-analytic function (i.e., analytic on every analytic arc) and assume that for some integer the function is real analytic. We prove that is locally Lipschitz; even if is less than the multiplicity of . We show that the result fails if is only a , arc-analytic function (even blow-analytic), . We also give an example of a non-Lipschitz arc-analytic solution of a polynomial equation , where are real analytic functions.
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We study the problem when an infinite system of linear functional equations
has a real analytic solution on for every right-hand side and give a complete characterization of such sequences of analytic functionals . We also show that every open set has a complex neighbourhood such that the positive answer is equivalent to the positive answer for the analogous question with solutions holomorphic on .
has a real analytic solution on for every right-hand side and give a complete characterization of such sequences of analytic functionals . We also show that every open set has a complex neighbourhood such that the positive answer is equivalent to the positive answer for the analogous question with solutions holomorphic on .
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For A, a commutative ring, and results by Costa and Keller characterize certain -normalized subgroups of the symplectic group, via structures utilizing Jordan ideals and the notion of radices. The following work creates a Jordan ideal structure theorem for -graded rings, A0A1, and a -graded matrix algebra. The major theorem is a generalization of Costa and Keller’s previous work on matrix algebras over commutative rings. 相似文献
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Konstantin Dyakonov Artur Nicolau 《Transactions of the American Mathematical Society》2007,359(9):4449-4465
We are concerned with interpolation problems in where the values prescribed and the function to be found are both zero-free. More precisely, given a sequence in the unit disk, we ask whether there exists a nontrivial minorant (i.e., a sequence of positive numbers bounded by 1 and tending to 0) such that every interpolation problem has a nonvanishing solution whenever for all . The sequences with this property are completely characterized. Namely, we identify them as `` thin" sequences, a class that arose earlier in Wolff's work on free interpolation in VMO.
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Amol Sasane 《Proceedings of the American Mathematical Society》2007,135(7):2107-2111
Let , denote the unit disc and unit circle, respectively, in , with center 0. If , then let denote the set of complex-valued functions defined on that are analytic in , and continuous and bounded on . Then is a ring with pointwise addition and multiplication. We prove that if the intersection of with the set of limit points of is not empty, then the ring is not coherent.
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Michael Langenbruch 《Journal of Mathematical Analysis and Applications》2004,297(2):696-719
For an open set let A(Ω) be the space of real analytic functions on Ω. Improving our previous results, we prove a new quantitative characterization of the linear partial differential operators P(D) which are surjective on A(Ω). This implies that P(D) is surjective on if P(D) is surjective on A(Ω) for some Ω≠∅. Further inheritance properties for the surjectivity of P(D) on A(Ω) are also obtained. 相似文献
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P. A. Fuhrmann 《Israel Journal of Mathematics》1970,8(1):23-27
The maximal ideals in two algebras of operator valued analytic functions in the unit disc are described. 相似文献
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We consider a Dirichlet problem in a planar domain with a hole of diameter proportional to a real parameter ? and we denote by u? the corresponding solution. The behavior of u? for ? small and positive can be described in terms of real analytic functions of two variables evaluated at (?,1/log??). We show that under suitable assumptions on the geometry and on the boundary data one can get rid of the logarithmic behavior displayed by u? for ? small and describe u? by real analytic functions of ?. Then it is natural to ask what happens when ? is negative. The case of boundary data depending on ? is also considered. The aim is to study real analytic families of harmonic functions which are not necessarily solutions of a particular boundary value problem. 相似文献
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k解析函数的Fourier级数 总被引:1,自引:0,他引:1
讨论了复平面上k解析函数的性质,并利用k解析函数的泰勒展开定理研究了k解析函数的Fourier级数,推广了经典的解析函数的Fourier级数理论. 相似文献
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Andrei K. Lerner 《Transactions of the American Mathematical Society》2005,357(6):2445-2465
Several weighted rearrangement inequalities for uncentered and centered local sharp functions are proved. These results are applied to obtain new weighted weak-type and strong-type estimates for singular integrals. A self-improving property of sharp function inequalities is established.