The Range of the Spectral Projection Associated with the Dunkl Laplacian
Joint Authors
Mejjaoli, Hatem
Ben Said, Salem
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-24
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
For s∈ℝ, denote by Pksf the “projection” of a function f in Dℝd into the eigenspaces of the Dunkl Laplacian Δk corresponding to the eigenvalue −s2.
The parameter k comes from Dunkl’s theory of differential-difference operators.
We shall characterize the range of Pks on the space of functions f∈Dℝd supported inside the closed ball BO,R¯.
As an application, we provide a spectral version of the Paley-Wiener theorem for the Dunkl transform.
American Psychological Association (APA)
Ben Said, Salem& Mejjaoli, Hatem. 2020. The Range of the Spectral Projection Associated with the Dunkl Laplacian. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1185805
Modern Language Association (MLA)
Ben Said, Salem& Mejjaoli, Hatem. The Range of the Spectral Projection Associated with the Dunkl Laplacian. Journal of Function Spaces No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1185805
American Medical Association (AMA)
Ben Said, Salem& Mejjaoli, Hatem. The Range of the Spectral Projection Associated with the Dunkl Laplacian. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1185805
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185805
