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On the Foundations of Nonlinear Generalized Functions I and II

On the Foundations of Nonlinear Generalized Functions I and II PDF Author: Michael Grosser
Publisher: American Mathematical Soc.
ISBN: 0821827294
Category : Mathematics
Languages : en
Pages : 113

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Book Description
In part 1 of this title the authors construct a diffeomorphism invariant (Colombeau-type) differential algebra canonically containing the space of distributions in the sense of L. Schwartz. Employing differential calculus in infinite dimensional (convenient) vector spaces, previous attempts in this direction are unified and completed. Several classification results are achieved and applications to nonlinear differential equations involving singularities are given.