Abstract
The Levy Laplacian Δ L plays an important role in the white noise analysis when it is considered as an infinite dimensional harmonic analysis arising from the rotation group. The Δ L acts on the space of generalized white noise functionals effectively and enjoys different characters from ∞-dimensional Laplace-Beltrami operator.
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Hida, T. (1993). A role of the Lévy Laplacian in the causal calculus of generalized white noise functionals. In: Cambanis, S., Ghosh, J.K., Karandikar, R.L., Sen, P.K. (eds) Stochastic Processes. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-7909-0_16
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DOI: https://doi.org/10.1007/978-1-4615-7909-0_16
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