Spectral approach to white noise analysis

• Datum: 1994
• Hauptverfasser: Berezansky, Yu. M., Livinskii, V. O., Lytvynov, E. V., Березанский, Ю. М., Ливинский, В. О., Литвинов, Е. В.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1994
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5755
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...