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A general theory of Autometrized algebras

✍ Scribed by K. L. N. Swamy


Book ID
105167486
Publisher
Springer
Year
1964
Tongue
English
Weight
622 KB
Volume
157
Category
Article
ISSN
0025-5831

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We present a geometric approach to defining an algebra G Λ†(M) (the Colombeau algebra) of generalized functions on a smooth manifold M containing the space DOE(M) of distributions on M. Based on differential calculus in convenient vector spaces we achieve an intrinsic construction of G Λ†(M). G Λ†(M) i