naa a22 4500 510760902 CHVBK 20180411083139.0 cr unu---uuuuu 180411e20130701xx s 000 0 eng 10.1007/s13163-012-0110-2 doi (NATIONALLICENCE)springer-10.1007/s13163-012-0110-2 The spectrum of the right inverse of the Dunkl operator [Elektronische Daten] [Luís Abreu, Óscar Ciaurri, Juan Varona] From the Dunkl analogue of Gegenbauer's expansion of the plane wave, we derive an explicit closed formula for the spectrum of a right inverse of the Dunkl operator. This is done by stating the problem in such a way it is possible to use the technique due to Ismail and Zhang. Universidad Complutense de Madrid, 2012 Plane wave expansion nationallicence Dunkl operator nationallicence Dunkl kernel nationallicence Spectrum nationallicence Diagonalization of operators nationallicence Special functions nationallicence Abreu Luís CMUC and Departamento de Matemática, Faculdade de Ciências e Tecnologia (FCTUC), Universidade de Coimbra, 3001-454, Coimbra, Portugal aut Ciaurri Óscar CIME and Departamento de Matemáticas y Computación, Universidad de La Rioja, 26004, Logroño, Spain aut Varona Juan CIME and Departamento de Matemáticas y Computación, Universidad de La Rioja, 26004, Logroño, Spain aut Revista Matemática Complutense Springer Milan 26/2(2013-07-01), 471-483 1139-1138 26:2<471 2013 26 13163 https://doi.org/10.1007/s13163-012-0110-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s13163-012-0110-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Abreu Luís CMUC and Departamento de Matemática, Faculdade de Ciências e Tecnologia (FCTUC), Universidade de Coimbra, 3001-454, Coimbra, Portugal aut NATIONALLICENCE 700 1- Ciaurri Óscar CIME and Departamento de Matemáticas y Computación, Universidad de La Rioja, 26004, Logroño, Spain aut NATIONALLICENCE 700 1- Varona Juan CIME and Departamento de Matemáticas y Computación, Universidad de La Rioja, 26004, Logroño, Spain aut NATIONALLICENCE 773 0- Revista Matemática Complutense Springer Milan 26/2(2013-07-01), 471-483 1139-1138 26:2<471 2013 26 13163 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer