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Hermite Polynomials in Motion Groups by lxq8786 is a document available to read on EtoBox.
What is Hermite Polynomials in Motion Groups about?
The paper discusses the relationship between Hermite polynomials and the infinite dimensional motion group G_oo, showing that Hermite polynomials can be viewed as spherical functions of this group. It reviews Gaussian measures in infinite dimensional spaces and constructs irreducible unitary representations of G_oo, proving fundamental properties of Hermite polynomials through representation theory. The author aims to provide a new perspective on Hermite polynomials by connecting them to the theory of infin
- Author
- lxq8786
- Language
- EN