4 citations · 9 across the 4 of their papers we have counts for
6 papers
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…
Witten's perturbation on strata with general adapted metrics
Jesús A. Álvarez López, Manuel Calaza, Carlos Franco
Let be a stratum of a compact stratified space . It is equipped with a general adapted metric , which is slightly more general than the adapted metrics of Nagase and Bras…
A Perturbation of the Dunkl Harmonic Oscillator on the Line
Jesús A. Álvarez López, Manuel Calaza, Carlos Franco
Let be the Dunkl harmonic oscillator on (). For and , it is proved that, if , then the operator $U=J_σ+ξ|x|^{-2u}…
Embedding Theorems for the Dunkl Harmonic Oscillator on the Line
Jesús A. Álvarez López, Manuel Calaza
Embedding results of Sobolev type are proved for the Dunkl harmonic oscillator on the line.
Witten's perturbation on strata
Jesús A. Álvarez López, Manuel Calaza
The main result is a version of Morse inequalities for the minimum and maximum ideal boundary conditions of the de Rham complex on strata of compact Thom-Mather stratifications, en…
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.