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2008 DELTA FUNCTION FOR AN AFFINE SUBSPACE
Jeremy J. Becnel
Taiwanese J. Math. 12(9): 2269-2294 (2008). DOI: 10.11650/twjm/1500405179

Abstract

The Kubo–Yokoi and Donsker delta functions are well known generalized functions in infinite dimensional distribution theory. In this paper we develop the delta function for an affine subspace and show that it is a generalization of the Kubo–Yokoi and Donsker delta functions. The Wiener– Itˆo expansion of the delta function for an affine subspace is also given.

Citation

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Jeremy J. Becnel. "DELTA FUNCTION FOR AN AFFINE SUBSPACE." Taiwanese J. Math. 12 (9) 2269 - 2294, 2008. https://doi.org/10.11650/twjm/1500405179

Information

Published: 2008
First available in Project Euclid: 18 July 2017

zbMATH: 1177.46029
MathSciNet: MR2479055
Digital Object Identifier: 10.11650/twjm/1500405179

Subjects:
Primary: 46F25
Secondary: 60H40

Keywords: delta function , infinite dimensional distribution theory , white noise analysis

Rights: Copyright © 2008 The Mathematical Society of the Republic of China

Vol.12 • No. 9 • 2008
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