Spectral approach to white noise analysis

By using the spectral projection theorem, we construct the classical Segal transformation as a Fourier transformation in the generalized joint eigenvectors of a certain family of field operators. It is noted that the spectral approach to the Segal transformation, which forms the basis of the analysi...

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Bibliographic Details
Date:1994
Main Authors: Berezansky, Yu. M., Livinskii, V. O., Lytvynov, E. V., Березанский, Ю. М., Ливинский, В. О., Литвинов, Е. В.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1994
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5755
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal