A Global Theory of Algebras of Generalized Functions
نویسندگان
چکیده
منابع مشابه
Institute for Mathematical Physics a Global Theory of Algebras of Generalized Functions a Global Theory of Algebras of Generalized Functions
We present a geometric approach to deening an algebra ^ G(M) (the Colombeau algebra) of generalized functions on a smooth manifold M containing the space D 0 (M) of distributions on M. Based on diierential calculus in convenient vector spaces we achieve an intrinsic construction of ^ G(M). ^ G(M) is a diierential algebra, its elements possessing Lie derivatives with respect to arbitrary smooth ...
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A global theory of algebras of generalizedfunctionsM
We present a geometric approach to deening an algebra ^ G(M) (the Colombeau algebra) of generalized functions on a smooth manifold M containing the space D 0 (M) of distributions on M. Based on diierential calculus in convenient vector spaces we achieve an intrinsic construction of ^ G(M). ^ G(M) is a diierential algebra, its elements possessing Lie derivatives with respect to arbitrary smooth ...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2002
ISSN: 0001-8708
DOI: 10.1006/aima.2001.2018