The convolution product and some applications
By: Wilhelm Kecs ; translated from Romanian by Victor Giurgiuțiu.
Edition: 2nd ed.
Series: Mathematics and its applications. East European series ;; v. 2; Mathematics and its applications (D. Reidel Publishing Company).; v. 2.
Publisher: Editura Academiei; D. Reidel; Distributors for the U.S.A. and Canada, Kluwer Boston; Springer
Published: 1982
Place of publication: București, Romania; Dordrecht, Holland; Boston, U.S.A; Hingham, MA
Language: eng
Number of pages: 332
Subjects: Theory of distributions (Functional analysis); Linear topological spaces.; Convolutions (Mathematics)
Description: As a result of the important properties it possesses, the convolution product holds a central place among the various modes of function composition. The extension of the convolution product in the distribution space created a natural framework for the growth and enrichment of its properties, and it is due to this fact that the operation has become a powerful mathematical tool in symbolic calculus, distribution approximation, Fourier series, and the solution of boundary value problems. The high effectiveness of this mathematical operation is especially reflected in its properties with respect to the Fourier and Laplace transforms and in the description of the solutions to linear differential equations with constant coefficients. The aim of this work is to systematically present the fundamental properties of the convolution product for functions and distributions. Additionally, it is shown how the method is used in the study of mathematical physics, deformable solids, mechanical systems, electrical circuits, etc. --Back cover.
Notes: Bibliography: p. [323]-328.
Includes index.