A New Approach to Diffeomorphism Invariant Algebras of Generalized Functions

Author:

Nigsch E. A.

Abstract

AbstractWe develop the diffeomorphism invariant Colombeau-type algebra of nonlinear generalized functions in a modern and compact way. Using a unifying formalism for the local setting and on manifolds, the construction becomes simpler and more accessible than before.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference23 articles.

1. A Multivariate Faa di Bruno Formula with Applications

2. Manifold-valued generalized functions in full Colombeau spaces;Kunzinger;Commentat. Math. Univ. Carolinae,2011

3. Generalized Functions and Multiplication of Distributions on C∞ Manifolds

4. A Global Theory of Algebras of Generalized Functions

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