Spectral Decomposition of the Weinstein Laplacian and Its Application to the Associated Heat Transform

For the Weinstein Laplacian considered on the Hilbert space which makes it a self-adjoint operator, the Von Neumann spectral decomposition is given. As applications, a new integral representation for the Weinstein heat kernel is given. Also, it is proved that the spectrum of the semigroup associated...

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Bibliographic Details
Main Authors: Abdelilah El Mourni, Nour Eddine Askour, Imane El Yazidi
Format: Article
Language:English
Published: Wiley 2025-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/ijmm/5890631
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