3.1 ANALYTICAL TOOLS3.2 FIELDS AND TRANSFORMATIONS3.3 FOURIER ANALYSIS3.4 TRANSFER FUNCTIONS AND FILTERS3.5 THE FRESNEL TRANSFORMATION3.6 THE WHITTAKER-SHANNON SAMPLING THEOREM3.7 DISCRETE ANALYSIS OF LINEAR TRANSFORMATIONS3.8 MULTISCALE SAMPLING3.9 B-SPLINES3.10 WAVELETSPROBLEMS