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Symmetry, Integrability and Geometry: Methods and Applications, 2014, Volume 10, 004, 16 pp.
DOI: https://doi.org/10.3842/SIGMA.2014.004 (Mi sigma869) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Embedding Theorems for the Dunkl Harmonic Oscillator on the Line

Jesús A. Álvarez Lópeza, Manuel Calazab

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
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DOI: https://doi.org/10.3842/SIGMA.2014.004
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.
Received: September 9, 2013; in final form January 6, 2014; Published online January 10, 2014
Bibliographic databases:
Document Type: Article
MSC: 46E35; 47B25; 33C45
Language: English
Citation: Jesús A. Álvarez López, Manuel Calaza, “Embedding Theorems for the Dunkl Harmonic Oscillator on the Line”, SIGMA, 10 (2014), 004, 16 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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