An Embedding of Schwartz Distributions in the Algebra of Asymptotic Functions
نویسنده
چکیده
We present a solution of the problem of multiplication of Schwartz distributions by embedding the space of distributions into a differential algebra of generalized functions, called in the paper "asymptotic function," similar to but different from J. F Colombeau’s algebras of new generalized functions.
منابع مشابه
Full algebra of generalized functions and non-standard asymptotic analysis
We construct an algebra of generalized functions endowed with a canoni cal embedding of the space of Schwartz distributions. We offer a solution to the problem of multiplication of Schwartz distributions similar to but different from Colombeau’s solution. We show that the set of scalars of our algebra is an algebraically closed field unlike its counterpart in Colombeau theory, which is a ring ...
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