THE recent proposal 1 to analyse shapes of biological objects by means of orthonormal functions opens up some interesting possibilities. In the work cited, a particular set of two-dimensional ...

We generalize the theorems of Stein-Tomas and Strichartz about surface restrictions of Fourier transforms to systems of orthonormal functions with an optimal dependence on the number of functions. We ...

This is a preview. Log in through your library . Abstract In recent years, there has been an increased interest in studying the variability of a quantitative life-history trait across a set of species ...

IT was recently proposed 1 that biological form should be specified by an expansion of the characteristic function of the form as a weighted sum of the elements of a complete set of orthonormal ...