A discussion of continuous wavelet transforms of multivariable vector function spaces

Abstract

Continuous wavelet transforms of multivariable vector function spaces are discussed. In the weak topology we get the reconstruction formulas of the continuous wavelet transforms of multivariable vector function spaces produced by the integral kernel of the transform multivariable vector functions and those of it produced by the integral kernel of the multivariable vector functions which are different from the transform multivariable vector functions. The relation between the two kinds of the reconstruction formulas is discussed. We get the simplest form of reconstruction formulas.