期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2006
卷号：2006
DOI：10.1155/IJMMS/2006/86238
出版社：Hindawi Publishing Corporation
摘要：We define Riemann-Liouville transform ℛα and its dual tℛα associated with two singular partial
differential operators. We establish some results of harmonic
analysis for the Fourier transform connected with
ℛα. Next, we prove inversion formulas for the
operators ℛα, tℛα and a Plancherel theorem for tℛα.
