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Charles writes to the Duke of Arcos concerning his efforts to pacify the trouble in Seville, Spain.

This monograph aims to provide for the first time a unified and homogenous presentation of the recent works on the theory of Bloch periodic functions, their generalizations, and their applications to evolution equations. It is useful for graduate students and beginning researchers as seminar topics, graduate courses and reference text in pure and applied mathematics, physics, and engineering.

This monograph aims to provide for the first time a unified and homogenous presentation of the recent works on the theory of Bloch periodic functions, their generalizations, and their applications to evolution equations. It is useful for graduate students and beginning researchers as seminar topics, graduate courses and reference text in pure and applied mathematics, physics, and engineering.

Digital information technology is constantly developed using electronic devices. The three dimensional (3D) image processing is also supported by electronic devices to record and display signals. Computer generated holograms (CGH) and integral imaging (II) use liquid-crystal spatial light modulator (SLM). This doctoral dissertation studies and develops the application of a commercial twisted nematic liquid crystal display (TNLCD) in computer generated holography and integral imaging. The goal is to encode and reconstruct complex wave fronts with computer generated holograms, and 3D images using Integral Imaging systems. Light modulation curves are presented: amplitude and phase-mostly modulation. Holographic codes are designed and implemented experimentally with optimum reconstruction efficiency, maximum signal bandwidth, and high signal to noise ratio (SNR). The study of TNLCD into // is presented as a review of the basics techniques of display. A digital magnification of 3D images is proposed and implemented. 3D digital magnified images have the same quality of optical magnifíed images, but the magnified system is less complex. Recognition system for partially occluded object is solved using a 3D // volumetric reconstruction. 3D Recognition solution presents better performance than the conventional 2D image systems. The importance in holography and 3D // is supported by the applications as: optical tweezers, as dynamic trapping light configurations, invariant beams, and 3D medical images.