The paper presents Lie groups, special functions, and rigged Hilbert spaces as complementary aspects of one mathematical structure, demonstrated through examples including SO(2) with circle functions, SU(2) with Laguerre functions, and others in quantum mechanics.
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables ; Dover: New York, USA
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Groups, Special Functions and Rigged Hilbert Spaces
The paper presents Lie groups, special functions, and rigged Hilbert spaces as complementary aspects of one mathematical structure, demonstrated through examples including SO(2) with circle functions, SU(2) with Laguerre functions, and others in quantum mechanics.