INTEGRAL EQUATIONS AND OPERATOR THEORY, vol.51, no.3, pp.303-317, 2005 (SCI-Expanded)
Wavelet-type transform associated with singular Laplace-Bessel differential operator Delta(v) = Sigma(k=1)(n) partial derivative(2)/partial derivative x(k)(2) + 2v/x(n) (.) partial derivative/partial derivative x(n) is introduced and the relevant Calderon-type reproducing formula is established. Representations of the generalized Bessel potentials (E - Delta(v))(-alpha/2) f, (Rea > 0) and their inverses via the wavelet-type transform are obtained.