Nonlinear Fourier analysis

Nonlinear Fourier Analysis

What is nonlinear Fourier Analysis? Let us consider an example. Let Q be a domain in the plane bounded by a Jordan curve T that goes to oo. Let O be a Riemann mapping of the upper half-plane onto £2. How does O behave as a function of T? Is it continuous? smooth? realanalytic? Let's think of ourselves as calculus students; we are presented with this function, and we want to study its basic prop...

Linear and Nonlinear Analysis of Cable Stayed Bridges By Fourier Series

Linear and Nonlinear Analysis of Cable Stayed Bridges By Fourier Series

Nonlinear Integrable Equations and Nonlinear Fourier Transform

In this paper we study nonlocal functionals whose kernels are homogeneous generalized functions. We also use such functionals to solve the Kortewegde Vries (KdV), the nonlinear Schrödinger (NLS) and the Davey-Stewartson (DS) equations. The solution of certain integrable equations in terms of formal power series was obtained in [4], [5]. In these papers the solution was expressed in a formal pow...

Fingerprint classification using fast Fourier transform and nonlinear discriminant analysis

In this paper, we present a new approach for fingerprint classification based on Discrete Fourier Transform (DFT) and nonlinear discriminant analysis. Utilizing the Discrete Fourier Transform and directional filters, a reliable and efficient directional image is constructed from each fingerprint image, and then nonlinear discriminant analysis is applied to the constructed directional images, re...