三维各向同性谐振子的超对称量子力学体系

利用三维各向同性谐振子的中升、降算子,分别构造不同的超对称量子力学体系,并研究了它们的性质。     

一类混合指数型积分算子与 Besov型空间

本文研究一类混合指数型积分算子与 Besov型空间的关系 ,重点探讨了该算子关于 Besov型空 间的饱和性 .     

"Finite Groups with Quasinormal Subgroups of Prime Power Order"一文的一点注记

用F(G)代替F(G),将文“Finite Groups with Quasinormal Subgroups of Prime Power Order Acta Math Hungar 89(4),2000,321-326”一文中的主要定理的可解性的假设去除,从而推广了该文的结论。     

Rescaling Symmetry Flow of the Kadomtsev--Petviashvili Hierarchy

We present a new symmetry flow of the Kadomtsev-Petviashvili (KP) hierarchy, which origins from the rescaling of whole “multi-time“ valuables. This flow describes the deformation of solutions of the KP hierarchy with respect to a noncommutative parameter. It is shown that the introduced rescaling symmetry flow does not commute with the ordinary evolution flows of the KP hierarchy, but commutes with the evolution flows with respect to slow-variables.     

Inverse-Definiteness of the Fourth-Order Symmetric Differential Operator （Ⅰ）

Abstract   We give a linear symmetric differential operator L defined by

On Weak Regular ^＊-semigroups

In this paper, a special kind of partial algebras called projective partial groupoids is defined.It is proved that the inverse image of all projections of a fundamental weak regular ^*-semigroup under the homomorphism induced by the maximum idempotent-separating congruence of a weak regular ^*-semigroup has a projective partial groupoid structure. Moreover, a weak regular ^*-product which connects a fundamental weak regular ^*-semigroup with corresponding projective partial groupoid is defined and characterized. It is finally proved that every weak regular ^*-product is in fact a weak regular ^*-semigroup and any weak regular ^*-semigroup is constructed in this way.     

Bernstein-Sikkema 算子逼近

研究Bernstein-Sikkema算子的逼近问题,得到强型正定理和弱型逆定理,改进了文献［1］的结果.     

扭化的Atiyah-Singer算子(I)

本文证明黎曼流表上的ｄｅ Ｒｈａｍ以及Ｓｉｇｎａｔｕｒｅ算子都同构于扭化的Ａｔｉｙａｈ－Ｓｉｎｇｅｒ算子。这两类算子的局部指数定理和局部Ｌｅｆｓｃｈｅｔｚ不动点公式都可以从扭化的Ａｔｉｙａｈ－Ｓｉｎｇｅｒ算子得到。