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From algebraic to analytic double product integrals
preprint
posted on 2007-03-22, 17:44 authored by Robin HudsonThe algebraic theory of double product integrals and particularly
its role in the quantisation of Lie bialgebras is described. When the
underlying associative algebra is that of the Itˆo differentials of quantum stochastic
calculus such product integrals are formally represented as operators which
are infinite sums of iterated integrals in Fock space. In this paper we describe
some of the analytic problems encountered in making such sums rigourously
meaningful, as well as the expected properties of such analytic double product
integrals.
History
School
- Science
Department
- Mathematical Sciences
Pages
182916 bytesCitation
HUDSON, R.L., 2008. From algebraic to analytic double product integrals. IN: Belavkin, V.P. and Guta, M. Quantum Stochastics And Information: Statistics, Filtering and Control, University of Nottingham, UK, 15 – 22 July 2006. World Scientific Publishing Co., pp. 34 - 36.Publication date
2007Notes
This is a pre-print. It was published in the book, Quantum Stochastics And Information: Statistics, Filtering and Control, University of Nottingham, UK, 15 – 22 July 2006 [ © World Scientific Publishing Co.]. The publisher's website is at: http://www.worldscientific.com/Language
- en