On convolution of Boas transform of wavelets

In this paper, we show that the Boas transform of Convolution (cross-correlation) of two wavelets satisfies the required admissibility and regularity conditions. These resulting new wavelets are then employed to analyze Boas transform of convolved (cross-correlated) signals by means of Boas transform wavelet convolution and cross-correlation theorems. Analogously to Bedrosian theorem, Boas transform product theorem is given.