Multiplicative structures of hypercyclic functions for convolution operators

[EN] In this note, it is proved the existence of an infinitely generated multiplicative group consisting of entire functions that are, except for the constant function 1, hypercyclic with respect to the convolution operator associated to a given entire function of subexponential type. A certain stability under multiplication is also shown for compositional hypercyclicity on complex domains.The first author has been supported by the Plan Andaluz de Investigacion de la Junta de Andalucia FQM-127 Grant P08-FQM-03543 and by MEC Grant MTM2015-65242-C2-1-P. The second author has been supported by MEC Grant MTM2016-75963-P. The second and third authors were also supported by Generalitat Valenciana, Project GV/2010/091, and by Universitat Politecnica de Valencia, Project PAID-06-09-2932. The fourth author has been supported by Grant MTM2015-65825-P.Bernal-González, L.; Conejero, JA.; Costakis, G.; Seoane-Sepúlveda, J. (2018). Multiplicative structures of hypercyclic functions for convolution operators. Journal of Operator Theory. 80(1):213-224. https://doi.org/10.7900/jot.2017sep27.216221322480