期刊
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
卷 363, 期 4, 页码 2047-2090出版社
AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9947-2010-05143-8
关键词
-
类别
资金
- FWF (Austria) [T305-N13, Y237-N13, M949-N18]
- Austrian Science Fund (FWF) [Y 237] Funding Source: researchfish
We develop a theory of Hilbert (C) over tilde -modules which forms the core of a new functional analytic approach to algebras of generalized functions. Particular attention is given to finitely generated subrnodules, projection operators, representation theorems for (C) over tilde -linear functionals and (C) over tilde -sesquilinear forms. We establish a generalized Lax-Milgram theorem and use it to prove existence and uniqueness theorems for variational problems involving a generalized bilinear or sesquilinear form.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据