{"name": "分析学", "children": [{"name": "位势论", "children": [{"name": "α上调和函数", "en": "α-superharmonic function", "superfield": "数学"}, {"name": "μ几乎处处", "en": "μ-almost everywhere", "superfield": "数学"}, {"name": "下包络原理", "en": "lower envelope principle", "superfield": "数学"}, {"name": "亨特核", "en": "Hunt kernel", "superfield": "数学"}, {"name": "伴随核", "en": "adjoint kernel", "superfield": "数学"}, {"name": "位势", "en": "potential", "superfield": "数学"}, {"name": "位势论", "en": "potential theory", "superfield": "数学"}, {"name": "体积位势", "en": "volume potential", "superfield": "数学"}, {"name": "内容量", "en": "inner capacity", "superfield": "数学"}, {"name": "单层位势", "en": "simple layer potential", "superfield": "数学"}, {"name": "双层位势", "en": "double layer potential", "superfield": "数学"}, {"name": "可赋容量性", "en": "capacitability", "superfield": "数学"}, {"name": "复位势", "en": "complex potential", "superfield": "数学"}, {"name": "复测度", "en": "complex measure", "superfield": "数学"}, {"name": "外容量", "en": "outer capacity", "superfield": "数学"}, {"name": "完全最大值原理", "en": "complete maximum principle", "superfield": "数学"}, {"name": "完满核", "en": "perfect kernel", "superfield": "数学"}, {"name": "容量", "en": "capacity", "superfield": "数学"}, {"name": "容量位势", "en": "capacity potential", "superfield": "数学"}, {"name": "对数位势", "en": "logarithmic potential", "superfield": "数学"}]}, {"name": "凸分析", "children": [{"name": "上半连续映射", "en": "upper semi-continuous mapping", "superfield": "数学"}, {"name": "上境图", "en": "epigraph", "superfield": "数学"}, {"name": "下半连续包", "en": "lower semi-continuous hull", "superfield": "数学"}, {"name": "严格凸", "en": "strictly convex", "superfield": "数学"}, {"name": "严格凸函数", "en": "strictly convex function", "superfield": "数学"}, {"name": "严格凹函数", "en": "strictly concave function", "superfield": "数学"}, {"name": "严格拟凸函数", "en": "strictly quasi-convex function", "superfield": "数学"}, {"name": "仿射函数", "en": "affine function", "superfield": "数学"}, {"name": "仿射包", "en": "affine hull", "superfield": "数学"}, {"name": "仿射无关", "en": "affinely independent", "superfield": "数学"}, {"name": "仿射集", "en": "affine set", "superfield": "数学"}, {"name": "伪凹[的]", "en": "pseudo-concave", "superfield": "数学"}, {"name": "伪凹函数", "en": "pseudo-concave function", "superfield": "数学"}, {"name": "伪凹泛函", "en": "pseudo-concave functional", "superfield": "数学"}, {"name": "共轭凸函数", "en": "conjugate convex function", "superfield": "数学"}, {"name": "共轭凹函数", "en": "conjugate concave function", "superfield": "数学"}, {"name": "共轭双重函数", "en": "conjugate bifunction", "superfield": "数学"}, {"name": "凸凹[二元]函数", "en": "convex-concave function", "superfield": "数学"}, {"name": "凸函数", "en": "convex function", "superfield": "数学"}, {"name": "凸函数的回收函数", "en": "recession function of convex function", "superfield": "数学"}]}, {"name": "分析学基础・实分析", "children": [{"name": "Ap权", "en": "Ap-weight", "superfield": "数学"}, {"name": "Gδ集", "en": "Gδ set", "superfield": "数学"}, {"name": "Hp空间", "en": "Hp-space", "superfield": "数学"}, {"name": "Lp空间", "en": "Lp-space", "superfield": "数学"}, {"name": "[曲]面积分", "en": "surface integral", "superfield": "数学"}, {"name": "lp空间", "en": "lp-space", "superfield": "数学"}, {"name": "一元函数", "en": "function of one variable", "superfield": "数学"}, {"name": "一致收敛性", "en": "uniform convergence", "superfield": "数学"}, {"name": "一致绝对连续[的]", "en": "uniformly absolutely continuous", "superfield": "数学"}, {"name": "一致连续[的]", "en": "uniformly continuous", "superfield": "数学"}, {"name": "三角级数", "en": "trigonometric series", "superfield": "数学"}, {"name": "三重积分", "en": "triple integral", "superfield": "数学"}, {"name": "上半连续[的]", "en": "upper semi-continuous", "superfield": "数学"}, {"name": "上导数", "en": "upper derivative", "superfield": "数学"}, {"name": "上极限", "en": "upper limit", "superfield": "数学"}, {"name": "上极限函数", "en": "upper limit function", "superfield": "数学"}, {"name": "上确界", "en": "least upper bound", "superfield": "数学"}, {"name": "下导数", "en": "lower derivative", "superfield": "数学"}, {"name": "下极限", "en": "lower limit", "superfield": "数学"}, {"name": "下界", "en": "lower bound", "superfield": "数学"}]}, {"name": "变分法", "children": [{"name": "一阶变分", "en": "first variation", "superfield": "数学"}, {"name": "临界集", "en": "critical set", "superfield": "数学"}, {"name": "二阶加托微分", "en": "", "superfield": "数学"}, {"name": "二阶变分", "en": "second variation", "superfield": "数学"}, {"name": "勒让德[必要]条件", "en": "Legendre [necessary] condition", "superfield": "数学"}, {"name": "卡拉泰奥多里性质", "en": "Carathe&1&odory property", "superfield": "数学"}, {"name": "变函数", "en": "argument function", "superfield": "数学"}, {"name": "变分", "en": "variation", "superfield": "数学"}, {"name": "变分不等式", "en": "variational inequality", "superfield": "数学"}, {"name": "变分不等方程", "en": "variational inequation", "superfield": "数学"}, {"name": "变分原理", "en": "variational principle", "superfield": "数学"}, {"name": "变分导数", "en": "variational derivative", "superfield": "数学"}, {"name": "变分方程", "en": "variational equation", "superfield": "数学"}, {"name": "变分法", "en": "calculus of variations", "superfield": "数学"}, {"name": "变分问题", "en": "variational problem", "superfield": "数学"}, {"name": "固定终点变分问题", "en": "fixed end point variational problem", "superfield": "数学"}, {"name": "容许函数", "en": "admissible function", "superfield": "数学"}, {"name": "希尔伯特不变积分", "en": "Hilbert invariant integral", "superfield": "数学"}, {"name": "平稳函数", "en": "stationary function", "superfield": "数学"}, {"name": "平稳曲线", "en": "stationary curve", "superfield": "数学"}]}, {"name": "复分析", "children": [{"name": "BMOA函数", "en": "analytic function of bounded mean oscillation", "superfield": "数学"}, {"name": "K拟共形映射", "en": "K-quasi-conformal mapping", "superfield": "数学"}, {"name": "[分]支点", "en": "branching point", "superfield": "数学"}, {"name": "[增长]级", "en": "growth order", "superfield": "数学"}, {"name": "[整函数的]亏格", "en": "genus [of entire function]", "superfield": "数学"}, {"name": "[整函数的]型", "en": "type [of entire function]", "superfield": "数学"}, {"name": "万有泰希米勒空间", "en": "universal Teichmu&4&ller space", "superfield": "数学"}, {"name": "万有覆盖面", "en": "universal covering surface", "superfield": "数学"}, {"name": "三圆定理", "en": "three circles theorem", "superfield": "数学"}, {"name": "中心指标", "en": "central index", "superfield": "数学"}, {"name": "主部", "en": "principal part", "superfield": "数学"}, {"name": "乘积展开式", "en": "product expansion", "superfield": "数学"}, {"name": "亏值", "en": "deficient value", "superfield": "数学"}, {"name": "亏量", "en": "deficiency", "superfield": "数学"}, {"name": "从属性", "en": "subordination", "superfield": "数学"}, {"name": "代数体函数", "en": "algebroidal function", "superfield": "数学"}, {"name": "代数奇点", "en": "algebraic singularity", "superfield": "数学"}, {"name": "伯格曼空间", "en": "Bergman space", "superfield": "数学"}, {"name": "伸缩商", "en": "dilatation quotient", "superfield": "数学"}, {"name": "位似变换", "en": "homothetic transformation", "superfield": "数学"}]}, {"name": "积分变换", "children": [{"name": "[积分变换的]核", "en": "kernel of integral transform", "superfield": "数学"}, {"name": "傅里叶-拉普拉斯变换", "en": "Fourier-Laplace transform", "superfield": "数学"}, {"name": "傅里叶-斯蒂尔切斯变换", "en": "Fourier-Stieltjes transform", "superfield": "数学"}, {"name": "傅里叶-贝塞尔变换", "en": "Fourier-Bessel transform", "superfield": "数学"}, {"name": "傅里叶余弦变换", "en": "Fourier cosine transform", "superfield": "数学"}, {"name": "傅里叶反演公式", "en": "Fourier inversion formula", "superfield": "数学"}, {"name": "傅里叶变换", "en": "Fourier transform", "superfield": "数学"}, {"name": "傅里叶正弦变换", "en": "Fourier sine transform", "superfield": "数学"}, {"name": "傅里叶积分", "en": "Fourier integral", "superfield": "数学"}, {"name": "傅里叶逆变换", "en": "inverse Fourier transform", "superfield": "数学"}, {"name": "共轭傅里叶积分", "en": "conjugate Fourier integral", "superfield": "数学"}, {"name": "反演公式", "en": "inversion formula", "superfield": "数学"}, {"name": "小波变换", "en": "wavelet transform", "superfield": "数学"}, {"name": "希尔伯特变换", "en": "Hilbert transform", "superfield": "数学"}, {"name": "广义傅里叶积分", "en": "generalized Fourier integral", "superfield": "数学"}, {"name": "拉东变换", "en": "Radon transform", "superfield": "数学"}, {"name": "拉普拉斯-斯蒂尔切斯变换", "en": "Laplace-Stieltjes transform", "superfield": "数学"}, {"name": "拉普拉斯变换", "en": "Laplace transform", "superfield": "数学"}, {"name": "拉普拉斯逆变换", "en": "inverse Laplace transform", "superfield": "数学"}, {"name": "斯蒂尔切斯变换", "en": "Stieltjes transform", "superfield": "数学"}]}]}