in this article, by using a partial on locally compact semi-direct product groups, we present a compatible extension of the fourier transform. as a consequence, we extend the fundamental theorems of abelian fourier transform to non-abelian case.

We demonstrate the operation of a four beam optical scheme realizing unitary Fourier transform. show high degree control over interference picture despite its complexity. Based on devised we propose an original phase estimation procedure employing maximum likelihood and incorporating additional modification. The present work is extension research in quantum computations with linear optics.

Image reconstruction from amplitude-only and phase-only data in the fractional Fourier domain applying the inverse fractional Fourier transform is analyzed on the examples of perfect edges of different contrasts and real-world image. © 2003 MAIK “Nauka/Interperiodica”. 1 The question of the importance of phase and amplitude in the Fourier domain has been studied in many publications [1–4]. Ther...

Entangled photons, generated by spontaneous parametric down-conversion from a second-order nonlinear crystal, present a rich potential for imaging and image-processing applications. Since this source is an example of a threewave mixing process, there is more flexibility in the choices of illumination and detection wavelengths and in the placement of object(s) to be imaged. Moreover, this source...