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Generalized Fourier-Mehler transforms on white noise functional spaces


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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Correspondence to Shunlong Luo.

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Luo, S., Yan, J. Generalized Fourier-Mehler transforms on white noise functional spaces. Chin. Sci. Bull. 43, 1321–1325 (1998).

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  • white notse calculus
  • general linear group
  • Fourier-Mehler transforms
  • Laplaclans