Simplified technique for constructing orthonormal functions

Strichartz Inequality for Orthonormal Functions

We prove a Strichartz inequality for a system of orthonormal functions, with an optimal behavior of the constant in the limit of a large number of functions. The estimate generalizes the usual Strichartz inequality, in the same fashion as the Lieb-Thirring inequality generalizes the Sobolev inequality. As an application, we consider the Schrödinger equation in a time-dependent potential and we ...

Orthonormal Functions for Nonlinear Signal Processing

Nonlinear adaptive ltering has witnessed an explosion of interest in recent years. This progress report describes the achievements to date of the EPSRC funded research program to investigate orthonormal functions for nonlinear signal processing. The report introduces a structure based upon the multi{dimensional Fourier series which can be applied to nonlinear system identi-cation, channel equal...

Rational Orthonormal Functions and Applications

Acknowledgement I am very grateful to Professor Ferenc Schipp for initiating me on the field of the approximation theory, for his advices and remarks without them this thesis would have been impossible. I am also indebted to the members of the Department of Numerical Analysis of the Eötvös Loránd University for their support during the years. I am especially grateful to Professor József Bokor i...

A Simplified Technique for Constructing One Piece Hollow Obturator after Partial Maxillectomy

Acquired surgical defects of the hard or soft palates interfere with the speech pattern and the mechanism of deglutition, and of equal importance, produce a feeling of social insecurity with unfavorable psychological as well as economic consequences. Patients with palatal defects labor under handicaps that cannot be fully appreciated by those with normal palates. The dentist should use his spec...

Modelling with Orthonormal Basis Functions