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

In: Stochastic Processes

Author

Listed:
  • Takeyuki Hida

    (Meijo University, Department of Mathematics)

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.

Suggested Citation

  • Takeyuki Hida, 1993. "A role of the Lévy Laplacian in the causal calculus of generalized white noise functionals," Springer Books, in: Stamatis Cambanis & Jayanta K. Ghosh & Rajeeva L. Karandikar & Pranab K. Sen (ed.), Stochastic Processes, pages 131-139, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-7909-0_16
    DOI: 10.1007/978-1-4615-7909-0_16
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