Opuscula Math. 35, no. 6 (), 867-887
http://dx.doi.org/10.7494/OpMath.2015.35.6.867
Opuscula Mathematica

# Inversion of the Riemann-Liouville operator and its dual using wavelets

Abstract. We define and study the generalized continuous wavelet transform associated with the Riemann-Liouville operator that we use to express the new inversion formulas of the Riemann-Liouville operator and its dual.
Keywords: inverse problem, Riemann-Liouville operator, Fourier transform, wavelets.
Mathematics Subject Classification: 35R30, 42B10, 42C40.