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Generalized Fourier-Mehler transforms on white noise functional spaces

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Chinese Science Bulletin

Abstract

A new (non-unitary) representation of the general linear group of white noise space on Hida’ s test and distribution spaces is presented. The relevant representative operators are natural generalization of Fourier-Mehler transforms.

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References

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Luo, S., Yan, J. Generalized Fourier-Mehler transforms on white noise functional spaces. Chin. Sci. Bull. 43, 1321–1325 (1998). https://doi.org/10.1007/BF02883674

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  • DOI: https://doi.org/10.1007/BF02883674

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