We classify infinite-dimensional decomposable braided vector spaces arising from abelian groups whose components are either points or blocks such that the corresponding Nichols algebras have finite Gelfand-Kirillov dimension. ...

The aim of this article is to provide a unified construction of coorbit spaces of symbols for the calculus associated to a square-integrable family of bounded Hilbert space operators, going far beyond the group theoretic ...

We present a unified approach to the study of Radon transforms related to symmetric groups and to general linear groups GLn(q), regarded as q−analogues of the former. In both cases, we define a sequence of generalized ...

Let H_n be the 2n + 1-dimensional Heisenberg group. We consider thegeneralized Gelfand pairs (R*xH_1,R) and ((R_{>0} ×SO(n))xH_n, R_?>0? ×SO(n)) for n ≥ 2.We describe the spherical distributions corresponding to these ...

Esta tesis se encuadra en el estudio del análisis armónico en pares de Gelfand de la forma (K,N), donde N es un grupo de Lie nilpotente y K es un subgrupo de automorfismos de N. En una primera parte trabajamos con una ...

In this work, we study the non-Hermitian Swanson Hamiltonian, particularly the non-parity-time symmetry phase. We use the formalism of Gel´fand triplet to construct the generalized eigenfunctions and the corresponding ...

We denote by $H_{n}$ the $2n+1$-dimensional Heisenberg group and study the spherical transform associated with the generalized Gelfand pair $(U(p,q) \rtimes H_{n},U(p,q))$, $p+q=n$, which is defined on the space of Schwartz ...