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The notions of transfer function and characteristic functions proved to be fundamental in the last fifty years in operator theory and in system theory. Moshe Livsic played a central role in developing these notions, and the book contains a selection of carefully chosen refereed papers dedicated to his memory. Topics include classical operator theory, ergodic theory and stochastic processes, geometry of smooth mappings, mathematical physics, Schur analysis and system theory. The variety of topics attests well to the breadth of Moshe Livsic's mathematical vision and the deep impact of his work.

Characteristic functions. --- Light -- Scattering. --- Scattering (Physics). --- Transfer functions. --- Mathematics --- Calculus --- Mathematical Statistics --- Physical Sciences & Mathematics --- Characteristic functions --- Scattering (Mathematics) --- Transfer functions --- Operator theory --- Ergodic theory --- Functions, Transfer --- Scattering theory (Mathematics) --- Characteristic formula of an ideal --- Characteristic Hilbert functions --- Functions, Characteristic --- Functions, Hilbert --- Hilbert characteristic functions --- Hilbert functions --- Hilbert's characteristic functions --- Hilbert's functions --- Postulation formula --- Mathematics. --- Operator theory. --- Operator Theory. --- Probabilities --- Automatic control --- Control theory --- Boundary value problems --- Differential equations, Partial --- Scattering operator --- Functional analysis

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This book is the result of a stimulating Special Issue of Water, focusing on the “Interaction between waves and Maritime Structures”. This broadly inclusive title allowed the gathering of articles on different topics of engineering concern, making the book appeal to both scientists and practical engineers. Original contributions on evergreen problems, such as wave overtopping at conventional and unconventional coastal structures, wave-induced pressures at vertical walls, hydraulic stability of rubble mound breakwaters and dynamics of crown-walls indeed represent the main core of the book; however, other intriguing research topics are also tackled, including the solution of the Navier–Stokes equations for biphase flows, the downscaling of large maritime structures in a physical lab, floating bodies mechanics and the numerical modeling of coastline evolution.

rock armor stability --- breakwater --- damage --- notional permeability factor --- crown wall failure --- dynamic response --- sliding --- overturning --- bearing capacity --- ship motions --- in-situ observations --- port operation --- transfer functions --- meteorological and ocean conditions --- vessel dimensions --- electrical platform --- hydrodynamic response --- strain --- acceleration --- hydroelastic similarity --- laboratory experiment --- wave overtopping --- flow velocity --- flow depth --- dike --- wave breaking --- experiments --- numerical modelling --- n/a --- floating cylinder --- water filled --- motion capturing --- wave tank --- wave gauges --- fluid–structure interaction --- free surface --- sloshing --- image analysis --- green water --- wet dam-break bore --- 2D experimental study --- water elevation database --- Venetian lagoon --- flooding --- astronomical tide --- storm surge --- experimental investigation --- two-phase flows --- fluid-structure interactions --- wave decomposition --- floating body --- recurves --- recurve geometry --- vertical seawalls --- wave loads and pressures --- pulsating and impulsive conditions --- validation experiment --- shoreline evolution --- littoral drift --- equivalent wave --- one-line equation --- coastal defenses --- structure response --- fluid-structure interaction