Titlebook: Generalized Functions and Their Applications; R. S. Pathak Book 1993 Springer Science+Business Media New York 1993 Manifold.Standard.diffe

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書目名稱Generalized Functions and Their Applications影響因子(影響力)




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Applications of Generalized Functions to Shocks and Discrete Models,tion. Generalized functions are also a powerful tool to formulate in a unified manner fundamental physical laws. We shall give here two general examples of such an application of generalized functions. The first is to the writing of the equations satisfied by shock waves : we establish in particular

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Nonstandard Treatments of New Generalised Functions,lombeau and others. The new generalised functions of Colombeau [1], [2], [3], [4], include distributions as a special sub-class, together with various non-linear functions of them. In particular the multiplication problem is comprehensively solved and expressions such as δ., δ. and so on are meaning

生命層

Interplay between Singularities Asymptotics and Generalized Functions,.We start with the basic concepts of the sifting property of the delta function and the fact that it is the derivative of the Heaviside function. Then we build up the derivatives of the generalized functions across a surface of discontinuity. We demonstrate that this information is sufficient to der

鑒賞家

Hyperfunctions, Ultradistributions and Microfunctions,(Ω) in 1948–51. Dirac’s . function and Hadamard’s finite part of .., . < -1, are famous. More generally P. Lévy [16] had determined the dual of ..([a, b]). Yet the true history of generalized functions started with Schwartz.