The functional Fourier transform (FRFT), which is a generalization of the classical Fourier
transform, was introduced a number of years ago in the mathematics literature but appears …

In recent years, there has been an enormous effort put in the definition and analysis of
fractional or fractal operators. Fractional calculus is for example a flourishing field of active …

Here we present a fast algorithm for Fresnel integral calculation. Some fast algorithms using
the fast Fourier transform are analysed and their performance has been checked. These …

The fractional Fourier transform (FRFT), which is a generalization of the Fourier transform,
has many applications in several areas, including signal processing and optics. Almeida …

We study bandlimited signals with fractional Fourier transform (FRFT). We show that if a
nonzero signal f is bandlimited with FRFT F/sub/spl alpha//for a certain real/spl alpha/, then it …

In this work we formulate the main properties of the gyrator operation which produces a
rotation in the twisting (position-spatial frequency) phase planes. This transform can be …

In recent years, the fractional Fourier transform has been the focus of many research papers.
In this letter, we show that the fractional Fourier transform is nothing more than a variation of …

Publisher Summary This chapter is an introduction to the fractional Fourier transform and its
applications. The fractional Fourier transform is a generalization of the ordinary Fourier …

In this survey paper we introduce the reader to the notion of the fractional Fourier transform,
which may be considered as a fractional power of the classical Fourier transform. It has been …

* A special volume devoted principally to therole of the late Sir Charles Oatley in the
development of the scanning electron microscopeings* It contains historical articles and …