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.
Applications of Rigged Hilbert Sp aces in Quantum Mechanics and Signal Procesing, J
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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.