Imbedding Exotic Hida-Kubo-Takenaka Spaces into usual Hida distributions
Kei Harada
TL;DR
This paper demonstrates the embedding of exotic Hida-Kubo-Takenaka spaces into standard Hida distributions and explores heat equations related to exotic Laplacians like the Lévy Laplacian.
Contribution
It establishes conditions for embedding exotic Hida-Kubo-Takenaka spaces into usual Hida spaces and investigates heat equations associated with exotic Laplacians.
Findings
Subspace embedding under certain conditions
Analysis of heat equations with exotic Laplacians
Extension of Hida space theory to exotic cases
Abstract
We show that a subspace of exotic Hida-Kubo-Takenaka space is naturally imbedded into the usual Hida-Kubo-Takenaka space under some conditions. We also study on Heat Equations associated with exotic Laplacians, such as L\'evy Laplacian.
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Taxonomy
TopicsGeometry and complex manifolds · Spectral Theory in Mathematical Physics · Random Matrices and Applications