Title of article
Ranges and Inversion Formulas for Spherical Mean Operator and Its Dual
Author/Authors
M.M. Nessibi ?، نويسنده , , L.T. Rachdi، نويسنده , , K. Triméche، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 1995
Pages
24
From page
861
To page
884
Abstract
We consider the spherical mean operator R and its dual tR. We establish some results from harmonic analysis for the generalized Fourier transform associated with the operator R. We deduce that the operators R and tR are transmutation operators on some spaces of functions. Next, we give inversion formulas for these operators and a Plancherel theorem for the operator tR.
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
1995
Journal title
Journal of Mathematical Analysis and Applications
Record number
938874
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