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Title: From algebraic to analytic double product integrals
Authors: Hudson, R.L.
Keywords: Double product integral
Quantum stochastic inegral
Terated integral
Quantum Yang-Baxter equation
Issue Date: 2007
Citation: 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.
Abstract: The 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.
Description: 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/
URI: https://dspace.lboro.ac.uk/2134/2734
Appears in Collections:Conference Papers (Maths)

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