On superpositional filtrations

Strati, Francesco (2012): On superpositional filtrations.

Abstract

In this present work I shall define the basic notions of superpositional filtrations. Given a superposition integral I shall find a general measure theory by means of cylinder sets and then I shall define the properties of the s-filtration for a general process X.

• Item Type: MPRA Paper
• Language: English
• Keywords: Radon measures, measures on topological spaces, filters, Superposition integral
• Subjects: C - Mathematical and Quantitative Methods > C0 - General; C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods

References

Carfì D., Foundation of superposition theory, Vol.1, 1st ed., Il Gabbiano, 2010.

Carfì D., S-diagonalizable operators in quantum mechanics, Glasnik Mathematicki 40, 2ı (2005), 267-307.

Carfì D., Schwartz families in tempered distribution spaces, arXiv:1104.4651v1, 2012.

Gel’fand I. M. , Vilenkin N. Ya., Generalized Function, Vol.4 Academic Press - N.Y. and London, 1964.

Revuz D., Yor M., Continuous Martingales and Brownian Motion, Springer, 1999.

Strati F., From the Bochner integral to the superposition integral, MPRA Paper No.39615, 2012.

Strati F., The nature of the S-linear algebra: The S-triple, 2012.