Methods of the Theory of Generalized Functions

Based on the Sobolev-Schwartz concept of Generalized Functions, this text presents general theory including the Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner, Poisson integraltransforms and operational calculus. The theory of Fourier series, abelian theorems, boundary values of helomorphic functions for one and several variables is covered.