Groups, Special Functions and Rigged Hilbert Spaces

Groups, Special Functions and Rigged Hilbert Spaces

We show that Lie groups and their respective algebras, special functions and rigged Hilbert spaces are complementary concepts that coexist together in a common framework and that they are aspects of the same mathematical reality. Special functions serve as bases for infinite dimensional Hilbert spac...

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Bibliographic Details
Main Authors: Enrico Celeghini, Manuel Gadella, Mariano A. del Olmo
Format: Article
Language:English
Published: MDPI AG 2019-07-01
Series:Axioms
Subjects:
rigged Hilbert spaces
discrete and continuous bases
special functions
Lie algebras
representations of Lie groups
harmonic analysis
Online Access:https://www.mdpi.com/2075-1680/8/3/89

Internet

https://www.mdpi.com/2075-1680/8/3/89

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