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Random fields as generalized white noise functionals

Random fields as generalized white noise functionals We discuss stochastic variational calculus for a random field {X(C)},C being a surface in a Euclidean space, which lives in the space of generalized white noise functionals. The infinite-dimensional rotation group plays important roles in the calculus. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Random fields as generalized white noise functionals

Acta Applicandae Mathematicae , Volume 35 (2) – Dec 31, 2004

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References (12)

Publisher
Springer Journals
Copyright
Copyright
Subject
Mathematics; Computational Mathematics and Numerical Analysis; Applications of Mathematics; Partial Differential Equations; Probability Theory and Stochastic Processes; Calculus of Variations and Optimal Control; Optimization
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/BF00994911
Publisher site
See Article on Publisher Site

Abstract

We discuss stochastic variational calculus for a random field {X(C)},C being a surface in a Euclidean space, which lives in the space of generalized white noise functionals. The infinite-dimensional rotation group plays important roles in the calculus.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Dec 31, 2004

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