Heat Equation Associated with Lévy Laplacian

Nobuaki Obata () and Habib Ouerdiane ()
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Nobuaki Obata: Tohoku University, Graduate School of Information Sciences
Habib Ouerdiane: Université de Tunis El Manar, Campus Universitaire, Département de Mathématiques, Faculté de Sciences

A chapter in Proceedings of the International Conference on Stochastic Analysis and Applications, 2004, pp 53-68 from Springer

Abstract: Abstract A solution to the heat equation associated with the Lévy Laplacian is studied by means of nuclear spaces of infinite dimensional entire functions. In particular, evolution of positive distributions and relation to the quadratic quantum white noise are discussed in a unified manner.

Keywords: Cauchy Problem; Entire Function; Heat Equation; Dirichlet Form; Positive Distribution (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4020-2468-9_4

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DOI: 10.1007/978-1-4020-2468-9_4

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