3 papers
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.GR2025
Holomorphic Discrete Series of SU(1,1): Orthogonality Relations, Character Formulas, and Multiplicities in Tensor Product Decompositions
Jean-Pierre Gazeau, Mariano A. del Olmo, Hamed Pejhan
The SU group plays a fundamental role in various areas of physics, including quantum mechanics, quantum optics, and representation theory. In this work we revisit the holomo…
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…