Gaussian series and daubechies operators

Abstract

The subspace [Mtilde] of L²(Cⁿ) which is composed of Gaussian series and contains the subspace M spanned by Gaussian functions given in the paper [6] by Du and Wong has the proporety that the product of two Daubechies operators with symbols in [Mtilde] is a Daubechies operator with symbol H in [Mtilde]. Furthermore, an explicit expression for the symbol H is given

Keywords:

• Daubechies operator
• Gaussian functions
• Gaussian series
• convolution

AMS:

• 47G10