This paper studies spectral properties of linear retarded functional differential equations in Hilbert spaces with the emphasis on their relations to structural operators. The equations involve unbounded operators acting on the discrete and distributed delayed terms, and the operators acting on the
Nonlinear functional models for functional responses in reproducing kernel hilbert spaces
β Scribed by Heng Lian
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- French
- Weight
- 667 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0319-5724
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
The author proposes an extension of reproducing kernel Hilbert space theory which provides a new framework for analyzing functional responses with regression models. The approach only presumes a general nonlinear regression structure, as opposed to existing linear regression models. The author proposes generalized crossβvalidation for automatic smoothing parameter estimation. He illustrates the use of the new estimator both on real and simulated data.
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