The volume is based on the Sobolev-Schwarz concept of generalized functions. It presents general theory including the Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner, Poisson integral transforms and
fast after the discovery of hidden algebraic symmetries of the KdV, NLS, and other (integrable by the inverse scatt- ing transform (IST) method) classes of one-dimensional evolution equations.