一类具幂指积系数微分算子谱的离散性  

The Discreteness of Spectrum of a Class of Differential Operators with Coefficients of Power-exponential Product Functions

作　　者：周立广[1,2] 王万义[1] 

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021 [2]内蒙古工业大学理学院,呼和浩特010051

出　　处：《数学物理学报（A辑）》2014年第3期573-580,共8页Acta Mathematica Scientia

基　　金：国家自然科学基金(11361039)资助

摘　　要：应用算子直和分解法和二次型比较的方法,研究了一类具幂指积系数微分算子谱的离散性,得到了该类微分算子的谱是离散的一些充分条件.The discrete spectrum of a class of differential operators with coefficients of power- exponential product functions is discussed. Some suifficient conditions for considered differential operators are obtained to ensure that the spectrum is discrete with direct sum decomposition method of operators and comparison method of the corresponding quadratic forms.

关 键 词：微分算子 离散谱 直和分解 

分 类 号：O175.3[理学—数学]