On Nash's implicit functional theorem
โ Scribed by J. Schwartz
- Publisher
- John Wiley and Sons
- Year
- 1960
- Tongue
- English
- Weight
- 1017 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we focus attention on the problem of to what extent abstract Banach space concepts can be utilized in order to simplify well-known formulas for the power series expansion of an implicitly defined holomorphic mapping in the ลฝ finite-dimensional case. The formulas obtained in the previo
## Abstract We prove uniformly computable versions of the Implicit Function Theorem in its differentiable and nonโdifferentiable forms. We show that the resulting operators are not computable if information about some of the partial derivatives of the implicitly defining function is omitted. Finall
Several Filippov type implicit function theorems are known for Caratheodory ลฝ . ลฝ . ลฝ . functions f t, x , i.e., all f ะธ, x are measurable and f t, ะธ are continuous. We ลฝ . prove some generalisations of this theorem supposing only each function f t, ะธ to be quasicontinuous with closed values.