Harnrnond and Johnson (1) have called attention to the potential usefulness of the Ham and Walsh functions in engineering applications. In this note two other systems of orthogonal function8 are described which are jinite linear combination8 of square-wave functions. These function8 have the same a
Identifying Linear Combinations of Ridge Functions
β Scribed by Martin D Buhmann; Allan Pinkus
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 109 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0196-8858
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β¦ Synopsis
This paper is about an inverse problem. We assume we are given a function f x m Ε½ i . which is some sum of ridge functions of the form Γ g a ΠΈ x and we just know
an upper bound on m. We seek to identify the functions g and also to identify the i directions a i from such limited information. Several ways to solve this nonlinear problem are discussed in this work.
π SIMILAR VOLUMES
## Abstract Let __S__ denote the set of normalized univalent functions in the unit disk. We consider the problem of finding the radius of convexity __r~Ξ±~__ of the set {(1 β __Ξ±__)__f__(__z__) + __Ξ±zf__β²(__z__) : __f__ β __S__} for fixed __Ξ±__ β β. Using a linearization method we find the exact