Strati, Francesco (2012): From the Bochner integral to the superposition integral.
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Abstract
The purpose of this paper is to give another definition of the superposition integral by using another kind of reasoning. In particular we define it as a generalization of the Bochner integral. We shall see it in section 2 and the superposition integral in section 3.
Item Type: | MPRA Paper |
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Original Title: | From the Bochner integral to the superposition integral |
Language: | English |
Keywords: | Measure and Integration, Banach Spaces, Vector Measures, Superposition theory |
Subjects: | C - Mathematical and Quantitative Methods > C0 - General C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods |
Item ID: | 39615 |
Depositing User: | Francesco Strati |
Date Deposited: | 23 Jun 2012 07:00 |
Last Modified: | 05 Oct 2019 04:41 |
References: | 1 Acquistapace P., Appunti di Analisi Convessa, Lecture notes University of Pisa, 2012. 2 Baiocchi C., Osservazioni sulla definizione di integrale di Bochner, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze 3e s ́rie, tome 17, no. 3, p. 239-253, 1963. 3 Carfì D., Foundation of superposition theory, Vol.1, 1st ed., Il Gabbiano, 2010. 4 Carfì D., S-diagonalizable operators in quantum mechanics, Glasnik Mathematicki 40, 2, (2005), 267-307. 5 Carfì D., Schwartz families in tempered distribution spaces, 2011. 6 Gel’fand I. M. , Vilenkin N. Ya., Generalized Function, Vol.4 Academic Press - N.Y. and London, 1964. 7 Halmos P.R., Measure Theory, Springer-Verlag New York Inc., 1974. 8 Strati F., A first introduction to S-Transitional lotteries, MPRA No.39399, 2012. 9 Strati F., The nature of the S-linear algebra: For an S-propagator, MPRA No.39525, 2012. 10 Strati F., The nature of the S-linear algebra: The S-triple, 2012. 6 |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/39615 |