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White noise delta functions and continuous version theorem

Published online by Cambridge University Press:  22 January 2016

Nobuaki Obata
Nobuaki Obata*
Affiliation:
Department of Mathematics, School of Science, Nagoya University, Nagoya, 464-01, Japan
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The recently developed Hida calculus of white noise [5] is an infinite dimensional analogue of Schwartz’ distribution theory besed on the Gelfand triple (E) ⊂ (L2) = L2 (E*, μ) ⊂ (E)*, where (E*, μ) is Gaussian space and (L2) is (a realization of) Fock space. It has been so far discussed aiming at an application to quantum physics, for instance [1], [3], and infinite dimensional harmonic analysis [7], [8], [13], [14], [15].

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 129 , March 1993 , pp. 1 - 22
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1993

References

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