Preface to the Third Edition. - Preface to the Second Edition. - Preface to the First Edition. - The Dirac Delta Function and Delta Sequences. - The Schwartz-Sobolev Theory of Distributions. - Additional Properties of Distributions. - Distributions Defined by Divergent Integrals. - Distributional Derivatives of Functions with Jump Discontinuities. - Tempered Distributions and the Fourier Transforms. - Direct Products and Convolutions of Distributions. - The Laplace Transform. - Applications to Ordinary Differential Equations. - Applications to Partial Differential Equations. - Applications to Boundary Value Problems. - Applications to Wave Propagation. - Interplay between Generalized Functions and the Theory of Moments. - Linear Systems. - Miscellaneous Topics. - References. - Index. . Language: English