Embedding Theorems for the Dunkl Harmonic Oscillator on the Line

Abstract

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

References in corpus (6)

• The Calogero-Sutherland Model and Generalized Classical Polynomials
• Exact operator solution of the Calogero-Sutherland model
• Generalized Hermite Polynomials and the Heat Equation for Dunkl Operators
• Imaginary Powers of the Dunkl Harmonic Oscillator
• Symmetric Functions and B_N-invariant Spherical Harmonics
• Application of the method of Bonan-Clark to the generalized Hermite polynomials

Cited by in corpus (2)

• On Harmonic Analysis Operators in Laguerre-Dunkl and Laguerre-Symmetrized Settings
• A Perturbation of the Dunkl Harmonic Oscillator on the Line