Modern Methods in Analytical Acoustics pp Cite as. It is an object of this Chapter to remove some of the mystique associated with generalized functions and to advocate their use in the analysis of physical problems. We lean heavily on these works in recognizing that generalized functions can essentially be manipulated according to the usual rules of addition, differentiation and integration, though in general they may not be multiplied by other than ordinary functions. They provide a powerful extension of the normal mathematical equipment available to physicists.
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Popular Features. Home Learning. Notify me. Description The first systematic theory of generalized functions also known as distributions was created in the early s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics.
The six-volume collection, Generalized Functions, written by I. Gelfand and co-authors and published in Russian between and , gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and representation theory.
Product details Format Hardback pages Dimensions x x Other books in this series. Geometry and the Imagination David Hilbert. Add to basket. Algebra Saunders MacLane. Differential Topology Victor Guillemin. Foundations of Analysis Edmund Landau. Principles of Mathematical Logic David Hilbert. Ramanujan Godfrey H. Knots and Links Dale Rolfsen. Foundations of Mechanics Ralph Abraham. Combinatorial Problems and Exercises Laszlo Lovasz.
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Generalized Functions, Volumes 1-6
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