Details

Autor(en) / Beteiligte

• Ben Said, Salem
• Mejjaoli, Hatem
• Sugimoto, Mitsuru
• Mitsuru Sugimoto

Titel

The Range of the Spectral Projection Associated with the Dunkl Laplacian

Ist Teil von

• Journal of function spaces, 2020, Vol.2020 (2020), p.1-10

Ort / Verlag

Cairo, Egypt: Hindawi Publishing Corporation

Erscheinungsjahr

2020

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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.