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math-ph2026
Representations of the D=2 Euclidean and Poincaré groups
Giovanni Camilletti, MarÃa A. Lledó, Mariano A. del Olmo
We present an explicit construction of the unitary irreducible representations of the two-dimensional Euclidean and Poincaré groups, together with their Spin double covers, by mea…
math-ph2024
Gelfand Triplets, Continuous and Discrete Bases and Legendre Polynomials
Enrico Celeghini, Manuel Gadella, Mariano A. del Olmo
We consider a basis of square integrable functions on a rectangle, contained in , constructed with Legendre polynomials, suitable, for instance, for the analogical description…