复值量子测度及其积分  

Complex-value Quantum Measure and Its Integral

作　　者：胡永云[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《甘肃科学学报》2011年第4期19-22,共4页Journal of Gansu Sciences

基　　金：甘肃省自然科学基金项目(0710RJZA106)

摘　　要：在量子测度和积分理论的基础上,考虑了可测函数取值与复值的量子积分,并讨论了积分的性质.同时,还考虑了复值函数可积与绝对可积之间的关系,得到了复值量子积分情形的单调有界收敛定理.On the basis of quantum measure and integral theory,the complex-value quantum integral and its properties are discussed.At the same time,the relationship between the integral of the complex-value measurable function and absolute integral is considered,and then a bounded,monotone convergence theorem for this complex-value quantum integral is attained.

关 键 词：量子测度 量子积分 复值量子积分 

分 类 号：O413[理学—理论物理]