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THE SEMI-NORMS ON THE SCHWARTZ SPACE

THE SEMI-NORMS ON THE SCHWARTZ SPACE
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摘要 Let S(R^2) be the class of all infinitely differential functions which, as well as their derivatives, are rapidly decreasing on R^2. Here we define a kind of seminorms which is equivalent to the usual family of semi-norms on the Schwartz space S(R^2). Let S(R^2) be the class of all infinitely differential functions which, as well as their derivatives, are rapidly decreasing on R^2. Here we define a kind of seminorms which is equivalent to the usual family of semi-norms on the Schwartz space S(R^2).
机构地区 School of Science
出处 《Annals of Applied Mathematics》 2017年第4期391-399,共9页 应用数学年刊(英文版)
基金 supported by National Natural Science Foundation(NNSF)of China(11761030) Hubei Provincial Department of Education Science and Technology Research Project(B2015099) the Doctoral Science Foundation of Hubei University for Nationalities(4148009)
关键词 Schwartz space semi-norms EQUIVALENT Schwartz space semi-norms equivalent
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