"Constructive Analysis of Semicircular Elements: From Orthogonal Projections to Semicircular Elements not only examines the constructions and free-probabilistic properties of semicircular elements, as defined within the text, but also consider certain Banach-space operators acting on these semicircular elements and shows how they deform (i.e., preserve-or-distort) the semi-circular law induced by orthogonal projections. Features suitable for graduate students and professional researchers in operator theory and/or analysis. Numerous applications in related scientific fields and areas"--