Differential calculus and integration of generalized functions over membranes

In this paper we continue the development of the differential calculus started in Aragona et al. (Monatsh. Math. 144:13–29, 2005 ). Guided by the so-called sharp topology and the interpretation of Colombeau generalized functions as point functions on generalized point sets, we introduce the notion o...

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Bibliographic Details

Published in:	Monatshefte für Mathematik Vol. 166; no. 1; pp. 1 - 18
Main Authors:	Aragona, Jorge, Fernandez, Roseli, Juriaans, Stanley O., Oberguggenberger, Michael
Format:	Journal Article
Language:	English
Published:	Vienna Springer Vienna 01.04.2012
Subjects:	Mathematics Mathematics and Statistics Membranes 26E30 Generalized functions 30G06 46T20 46F30 Non-Archimedean differential calculus Colombeau algebras Generalized Cauchy formula
ISSN:	0026-9255, 1436-5081
Online Access:	Get full text
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