Continuous Wavelet Transforms of Multivariable Abstract Function Spaces
An abstract function space is proposed and discussed. One-dimensional continuous wavelet transform is applied to the continuous wavelet transforms of the multivariable abstract function spaces .The reconstruction formulas of it produced by the integral kernel of the transform multivariable abstract functions and those of it produced by the integral kernel of the multivariable abstract functions which are difference from the transform multivariable abstract functions are obtained in the weak topology as well as in the sense of norm convergence.
H. Z. Qu and J. Yang, "Continuous Wavelet Transforms of Multivariable Abstract Function Spaces", Advanced Materials Research, Vol. 159, pp. 199-204, 2011