Linear Canonical Transformation (Paperback)

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In Hamiltonian mechanics, the linear canonical transformation is a family of integral transforms that generalizes many classical transforms. It has 4 parameters and 1 constraint, so it is a 3-dimensional family, and can be visualized as the action of the special linear group SL2 on the time-frequency plane. The LCT generalizes the Fourier, fractional Fourier, Laplace, Gauss-Weierstrass, Bargmann and the Fresnel transforms as particular cases.