Abstract
Unconditional bases of the form {dα(iλnt) : λn ∈ Λ} in the space L2(−a, a) with measure |x|γdx, γ = 2α + 1, are described. Here dα(ixt) is the Dunkl kernel determined by $$d_\alpha (z) = 2^\alpha \Gamma (\alpha + 1)z^{ - \alpha } (J_\alpha (z) + iJ_{\alpha + 1} (z)), \alpha > - 1,$$ where Jα is the Bessel function of the first kind.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
