Hypercyclic and Chaotic Convolution Associated with the Jacobi–Dunkl Operator

Autor:	F. Chouchene, M. Mili, Khalifa Trimèche, Hatem Mejjaoli
Rok vydání:	2013
Předmět:	Pure mathematics General Mathematics Mathematical analysis Mathematics::Classical Analysis and ODEs Chaotic Operator theory Convolution power Circular convolution Universality (dynamical systems) Mathematics::Quantum Algebra Heat equation Convolution theorem Mathematics::Representation Theory Mathematics Dunkl operator
Zdroj:	Mediterranean Journal of Mathematics. 11:577-600
ISSN:	1660-5454 1660-5446
DOI:	10.1007/s00009-013-0301-1
Popis:	In this paper, we study the Jacobi–Dunkl convolution operators on some distribution spaces. We characterize the Jacobi–Dunkl convolution operators as those ones that commute with the Jacobi–Dunkl translations and with the Jacobi–Dunkl operators. Also we prove that the Jacobi–Dunkl convolution operators are hypercyclic and chaotic on the spaces under consideration and we give a universality property for the generalized heat equation associated with them.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::add2d422206f6ae79341ba0e5d0de96a https://doi.org/10.1007/s00009-013-0301-1 Zobrazit plný text záznamu Full text from SpringerLink