Jesús A. Álvarez López, Manuel Calaza, “Embedding Theorems for the Dunkl Harmonic Oscillator on the Line”, SIGMA, 2014, Volume 10,004, 16 pp.

This article is cited in 4 papers

Embedding Theorems for the Dunkl Harmonic Oscillator on the Line

Jesús A. Álvarez López^a, Manuel Calaza^b

^a Departamento de Xeometría e Topoloxía, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain
^b Laboratorio de Investigación 10, Servicio de Reumatología, Instituto de Investigación Sanitaria, Hospital Clínico Universitario, 15706 Santiago de Compostela, Spain

Abstract: Embedding results of Sobolev type are proved for the Dunkl harmonic oscillator on the line.

Keywords: Dunkl harmonic oscillator; Sobolev embedding; generalized Hermite functions; Schwartz space.

MSC: 46E35; 47B25; 33C45

Received: September 9, 2013; in final form January 6, 2014; Published online January 10, 2014

Language: English

DOI: 10.3842/SIGMA.2014.004