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Dunkl operators and a family of realizations of osp(1|2)

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Standard

Dunkl operators and a family of realizations of osp(1|2). / de Bie, H.; Ørsted, B.; Somberg, P.; Souček, V.

I: Transactions of the American Mathematical Society, Bind 364, Nr. 7, 2012, s. 3875-3902.

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avisTidsskriftartikelForskningpeer review

Harvard

de Bie, H, Ørsted, B, Somberg, P & Souček, V 2012, 'Dunkl operators and a family of realizations of osp(1|2)', Transactions of the American Mathematical Society, bind 364, nr. 7, s. 3875-3902. https://doi.org/10.1090/S0002-9947-2012-05608-X

APA

de Bie, H., Ørsted, B., Somberg, P., & Souček, V. (2012). Dunkl operators and a family of realizations of osp(1|2). Transactions of the American Mathematical Society, 364(7), 3875-3902. https://doi.org/10.1090/S0002-9947-2012-05608-X

CBE

de Bie H, Ørsted B, Somberg P, Souček V. 2012. Dunkl operators and a family of realizations of osp(1|2). Transactions of the American Mathematical Society. 364(7):3875-3902. https://doi.org/10.1090/S0002-9947-2012-05608-X

MLA

de Bie, H. o.a.. "Dunkl operators and a family of realizations of osp(1|2)". Transactions of the American Mathematical Society. 2012, 364(7). 3875-3902. https://doi.org/10.1090/S0002-9947-2012-05608-X

Vancouver

de Bie H, Ørsted B, Somberg P, Souček V. Dunkl operators and a family of realizations of osp(1|2). Transactions of the American Mathematical Society. 2012;364(7):3875-3902. https://doi.org/10.1090/S0002-9947-2012-05608-X

Author

de Bie, H. ; Ørsted, B. ; Somberg, P. ; Souček, V. / Dunkl operators and a family of realizations of osp(1|2). I: Transactions of the American Mathematical Society. 2012 ; Bind 364, Nr. 7. s. 3875-3902.

Bibtex

@article{555b4bec7a164bb4913ef3e87281b8b7,
title = "Dunkl operators and a family of realizations of osp(1|2)",
abstract = "In this paper, a family of radial deformations of the realization of the Lie superalgebra osp(1|2) in the theory of Dunkl operators is obtained. This leads to a Dirac operator depending on 3 parameters. Several function theoretical aspects of this operator are studied, such as the associated measure, the related Laguerre polynomials and the related Fourier transform. For special values of the parameters, it is possible to construct the kernel of the Fourier transform explicitly, as well as the related intertwining operator.",
author = "{de Bie}, H. and B. {\O}rsted and P. Somberg and V. Sou{\v c}ek",
note = "Copyright 2012 Elsevier B.V., All rights reserved.",
year = "2012",
doi = "10.1090/S0002-9947-2012-05608-X",
language = "English",
volume = "364",
pages = "3875--3902",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "7",

}

RIS

TY - JOUR

T1 - Dunkl operators and a family of realizations of osp(1|2)

AU - de Bie, H.

AU - Ørsted, B.

AU - Somberg, P.

AU - Souček, V.

N1 - Copyright 2012 Elsevier B.V., All rights reserved.

PY - 2012

Y1 - 2012

N2 - In this paper, a family of radial deformations of the realization of the Lie superalgebra osp(1|2) in the theory of Dunkl operators is obtained. This leads to a Dirac operator depending on 3 parameters. Several function theoretical aspects of this operator are studied, such as the associated measure, the related Laguerre polynomials and the related Fourier transform. For special values of the parameters, it is possible to construct the kernel of the Fourier transform explicitly, as well as the related intertwining operator.

AB - In this paper, a family of radial deformations of the realization of the Lie superalgebra osp(1|2) in the theory of Dunkl operators is obtained. This leads to a Dirac operator depending on 3 parameters. Several function theoretical aspects of this operator are studied, such as the associated measure, the related Laguerre polynomials and the related Fourier transform. For special values of the parameters, it is possible to construct the kernel of the Fourier transform explicitly, as well as the related intertwining operator.

UR - http://www.scopus.com/inward/record.url?scp=84859028052&partnerID=8YFLogxK

U2 - 10.1090/S0002-9947-2012-05608-X

DO - 10.1090/S0002-9947-2012-05608-X

M3 - Journal article

AN - SCOPUS:84859028052

VL - 364

SP - 3875

EP - 3902

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 7

ER -