Nonlinear Theories of Generalized Functions
作者： Michael Oberguggenberger
DOI: 10.1007/978-94-015-8451-7_5
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摘要: The purpose of this article is to present an overview of a branch of nonlinear analysis that has taken up rapid development during the past decade: the theory of “multiplication of distributions” or better the “nonlinear theory of generalized functions”, as it goes far beyond the former topic by now. It has a significant overlap with nonstandard analysis; but within the boundaries of its scope, it takes a more general standpoint. We are interested in situations that involve (a) nonlinear operations;(b) differentiation;(c) singular objects (like measures or …
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sci-hub.st 参考文章(36)
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