M. Calaza

activity

20112017

most citedEmbedding Theorems for the Dunkl Harmonic Oscillator on the Line

4 citations · 9 across the 4 of their papers we have counts for

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math.SP2017

Corrigendum to "A perturbation of the Dunkl harmonic oscillator on the line", arXiv:1412.4655

Jesús A. Álvarez López, Manuel Calaza, Carlos Franco

We correct the second main theorem of the previous paper "A perturbation of the Dunkl harmonic oscillator on the line", by the first two authors. The corrections concern mainly cer…

math.SP2014★ 3 cited

A Perturbation of the Dunkl Harmonic Oscillator on the Line

Jesús A. Álvarez López, Manuel Calaza, Carlos Franco

Let $J_{σ}$ be the Dunkl harmonic oscillator on $R$ ( $σ > - \frac{1}{2}$ ). For $0 < u < 1$ and $ξ > 0$ , it is proved that, if $σ > u - \frac{1}{2}$ , then the operator $U=J_σ+ξ|x|^{-2u}…

math.SP2011★ 2 cited

Application of the method of Bonan-Clark to the generalized Hermite polynomials

Jesús A. Álvarez López, Manuel Calaza

It is shown that the method of Bonan-Clark can be used to prove asymptotic estimates for the generalized Hermite polynomials, showing also that these estimates are optimal.