Embedding Theorems for the Dunkl Harmonic Oscillator on the Line

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2014_symmetry_alvarez_embedding.pdf (428.06 KB)
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URI: http://hdl.handle.net/10347/21882
E-ISSN: 1815-0659
DOI: 10.3842/SIGMA.2014.004

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2014

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National Academy of Science of Ukraine
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Abstract

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

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Dunkl harmonic oscillator| Sobolev embedding| Generalized Hermite functions| Schwartz space

Bibliographic citation

Álvarez López, J. A., and Calaza, M. (2014). Embedding theorems for the Dunkl harmonic oscillator on the line. SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, 10, 004.

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The first author is partially supported by MICINN and MEC, Grants MTM2008-02640, MTM2011-25656 and PR2009-0409

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© Author(s) 2014. This work is licensed under a Creative Commons Attribution-ShareAlike (CC BY-SA) license

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