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- catalog abstract "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.".
- catalog contributor b1244675.
- catalog created "c1982.".
- catalog date "1982".
- catalog date "c1982.".
- catalog dateCopyrighted "c1982.".
- catalog 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.".
- catalog description "Bibliography: p. [323]-328.".
- catalog description "Topological vector spaces -- The convolution product -- Integral transforms and periodic distributions -- Convolution equations -- Application of the convolution product.".
- catalog extent "xvii, 332 p. ;".
- catalog hasFormat "Convolution product and some applications.".
- catalog identifier "9027714096 (Reidel)".
- catalog isFormatOf "Convolution product and some applications.".
- catalog isPartOf "Mathematics and its applications (D. Reidel Publishing Company). East European series ; v. 2.".
- catalog isPartOf "Mathematics and its applications. East European series ; v. 2".
- catalog issued "1982".
- catalog issued "c1982.".
- catalog language "eng".
- catalog language "engrum".
- catalog publisher "București, Romania : Editura Academiei ; Dordrecht, Holland ; Boston, U.S.A. : D. Reidel ; Hingham, MA : Distributors for the U.S.A. and Canada, Kluwer Boston,".
- catalog relation "Convolution product and some applications.".
- catalog subject "Convolutions (Mathematics)".
- catalog subject "Linear topological spaces.".
- catalog subject "QA324 .K4413 1982".
- catalog subject "Theory of distributions (Functional analysis)".
- catalog tableOfContents "Topological vector spaces -- The convolution product -- Integral transforms and periodic distributions -- Convolution equations -- Application of the convolution product.".
- catalog title "The convolution product and some applications / Wilhelm Kecs ; translated from Romanian by Victor Giurgiuțiu.".
- catalog type "text".