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On the power series representation of smooth conformal martingales

Published online by Cambridge University Press:  22 January 2016

Nguyen Xuan-loc
Nguyen Xuan-loc*
Affiliation:
Department of Mathematical Statistics, Institute of Computer Science and Cibernetics, Lieu Giai Ba Dinh, Ha Not R. S. Viet Nam
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We introduce here the notion of (stochastically) differentiable process with respect to a fixed conformal martingale and compute the remainder term of the Taylor expansion of the given process (Definition 1 and Proposition 3). An a-priori estimate in the L2-norm of the above mentioned remainder term is given and consequently a power series representation of smooth conformal martingales is obtained (Theorem 4).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 103 , October 1986 , pp. 15 - 27
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1986

References

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