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Abstract: We review known factorization results in quaternion matrices. Specifically, we derive the Jordan canonical form, polar decomposition, singular value decomposition, the QR factorization. We p...
Abstract: A classic theorem of T. Ando characterises operators that have numerical radius at most one as operators that admit a certain positive 2x2 operator matrix completion. In this paper we consid...
将曲率驱动扩散(CDD)模型应用于无纹理图像的修复, 对其数值离散格式进行改进, 计算分为两步执行: 在修复区域内采用时间步进法; 修复区域外利用加性算子分裂方法, 该方法加快了收敛速度, 数值实验结果表明效果较好。
定义参数型Hilbert奇异重积分算子,通过权系数方法, 研究了Tλ的(p,p)型范数, 并给出了它的应用。
This paper deals with exploiting symmetry for solving linear and integer programming problems. Basic properties of linear representations of finite groups can be used to reduce symmetric linear progra...
Two-term Weyl-type asymptotic law for the eigenvalues of one-dimensional fractional Laplace operator (−) /2 ( ∈ (0, 2)) in the interval (−1, 1) is given: the n-th eigenvalue is equal to ...
We consider Toeplitz operators in different Bergman type spaces, having radial symbols with variable sign. We show that if the symbol has compact support or decays rapidly, the eigenvalues of such ope...
We study the spectral triples over the total space of noncommutative principal U(1) bundles. Basing on the classical situation and the abstract algebraic approach we propose a definition of connection...
We establish a correspondence between Young diagrams and differential operators of infinitely many variables. These operators form a commutative associative algebra isomorphic to the algebra of the co...
The notion of uniform equicontinuity in measure at zero for sequences of additive maps from a normed space into the space of measurable operators associated with a semifinite von Neumann algebra is di...
We consider a generalization of the Riesz operator in Rd and obtain estimates for its norm and for related capacities via the modified Wolff potential. These estimates are based on the certain version...
We study several fundamental operators in harmonic analysis related to Bessel operators, including maximal operators related to heat and Poisson semigroups, Littlewood-Paley-Stein square functions, mu...
We generalize our recent explicit construction of the full hierarchy of Baxter Q-operators of compact spin chains with su(n) symmetry to the supersymmetric case su(n|m). The method is based on novel...
We study algebraic properties of Toeplitz operators on Berg-man spaces of polyanalytic functions on the unit disk. We obtain results on finite-rank commutators and semi-commutators of Toeplitz operato...
In this paper, we discuss rates of convergence for the Lupa¸s q-analogue of Bernstein polynomials Rn,q. We prove a quantitative variant of Voronovskaja’s theorem for Rn,q.

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