| Lars Hormander，20世纪瑞典最伟大的数学家之一，数学界少有的沃尔夫奖(1988)和菲尔兹奖(1962)双奖得主。他于1955年获博士学位，师从大数学家Marcel Riesz。他对线性偏微分方程的现代理论做出了杰出贡献，1987—1990年间他曾任国际数学联盟副主席。... .. << 查看详细 |
| chapter ⅰ.analytic functions of one complex variable summary 1.1.preliminaries 1.2.cauchy's integral formula and its applications 1.3.the runge approximation theorem 1.4.the mittag-leflter theorcm 1.5.the weierstrass theorem 1.6.subharmonic functions notes chapter ⅱ.elementary properties of functions ofseveral complex variables summary 2.1.preliminaries 2.2.applications of cauchy's integral formula in polydiscs 2.3.the inhomogeneous cauchy—riemann equations in apolydisc 2.4.power series and reinhardt domains 2.5.domains of holomorphy 2.6.pseudoconvexity and plurisubharmonicity 2.7.runge domains notes chapter ⅲ.applications to commutative banachalgebras .summary 3.1.preliminaries 3.2.analytic functions of elements in a banach algebra notes chapter ⅳ.l2 estimates and existence theorems for the e operator summary 4.1.preliminaries 4.2.existence theorems in pseudoconvex domains 4.3.approximation theorems. 4.4.existence theorems in l2 spaces 4.5.analytic functionais notes chapter ⅴ.stein manifolds summary 5.1.definitions 5.2.l2 estimates and existence theorems for the e operator 5.3.embedding of stein manifolds 5.4.envelopes of holomorphy 5.5.the cousin problems on a stein manifold 5.6.existence and approximation theorems for sections of an analytic vector bundle 5.7.almost complex manifolds notes chapter ⅵ.local properties of analytic functions summary 6.1.the weierstrass preparation theorem 6.2.factorization in the ring a0 of germs of analytic functions 6.3.finitely generated a0-modules 6.4.the oka theorem 6.5.analytic sets notes chapter ⅶ.coherent analytic sheaves on stein manifolds summary 7.1.definition of sheaves 7.2.existence of global sections of a coherent analytic sheaf 7.3.cohomology groups with values in a sheaf. 7.4.the cohomology groups of a stein manifold with coefficients in a coherent analytic sheaf 7.5.the de rham theorem 7.6.cohomology with bounds and constant coeflicient differential equations 7.7.quotients of ak by submodules。and the ehrenpreis fundamentai principle notes bibliography index |
内容加载中，请稍后...
商品评论（0条）