四元数半空间中的次调和函数及其等价性质
사원수반공간중적차조화함수급기등개성질
The equivalent properties of subharmonic functions in quaternion half space
  • 万方数据
    北京师范大学学报（自然科学版） 북경사범대학학보（자연과학판）
    JOURNAL OF BEIJING NORMAL UNIVERSITY
    2015年 2期 111-115 ,共5页

    张艳慧%邓冠铁%杨康莉

    장염혜%산관철%양강리

    次调和函数%均值%四元数 次調和函數%均值%四元數
    차조화함수%균치%사원수
    subharmonic functions%subharmonic mean value property%quaternion
    研究四元数半空间中的次调和函数，借助于复分析和调和分析给出了四元数次调和函数的性质及其等价条件；从而改进了四元数半空间中四元数次调和函数的某些经典结果。
    연구사원수반공간중적차조화함수，차조우복분석화조화분석급출료사원수차조화함수적성질급기등개조건；종이개진료사원수반공간중사원수차조화함수적모사경전결과。
    Subharmonic function of quaternionic variables is examined,together with its applications. Fundamental complex analytic and harmonic analytic notions are used to present the properties and equalisation conditions of quaternionic subharmonic functions This will provide generalizations of analogous complex analytic applications and harmonic analytic applications and improve the classical result on quaternionic subharmonic function in quaternionic half place.
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