A role of the Lévy Laplacian in the causal calculus of generalized white noise functionals

Takeyuki Hida
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Takeyuki Hida: Meijo University, Department of Mathematics

A chapter in Stochastic Processes, 1993, pp 131-139 from Springer

Abstract: 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.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-7909-0_16

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DOI: 10.1007/978-1-4615-7909-0_16

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