Convolutions of generalized white noise functionals

• Autorzy: Ji U. C. , Kim Y. Y. , Park Y. J.
• Języki publikacji: EN

Abstrakty

EN

We study a general definition of convolution products of test white noise functionals, of which the consistency property is examined. As an application of the consistency property of the convolution product we study an extension of the convolution to generalized white noise functionals. We also study relations between the convolution and generalized Fourier-Gauss and generalized Fourier-Mehler transforms.

Słowa kluczowe

EN

white noise theory; convolution; generalized Fourier-Gauss transform; generalized Fourier-Mehler transform

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2013
• Tom: Vol. 33, Fasc. 2
• Strony: 435--450
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Ji U. C.

• Department of Mathematics, Research Institute of Mathematical Finance, Chungbuk National University, Cheongju 361-763, Korea

autor

Kim Y. Y.

• Research Institute for Natural Science, Hanyang University, Seoul 133-791, Korea

autor

Park Y. J.

• Department of Mathematics, Chungbuk National University, Cheongju 361-763, Korea

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).