Two-wavelet theory in Weinstein setting

Abstract

In this paper we introduce the notion of a Weinstein two-wavelet. Then we establish and prove the resolution of the identity formula for the Weinstein continuous wavelet transform. Next, we give results on Calderón's type reproducing formula in the context of the Weinstein two-wavelet.

References in corpus (3)

• A variation of the $L^p$ uncertainty principles for the Weinstein transform
• Calderón's reproducing formulas for the Weinstein $L^2$- multiplier operators
• Heisenberg-Pauli-Weyl and Donoho-Stark's uncertainty principle for the Weinstein $L^2$-multiplier operators

Cited by in corpus (1)

• Time-frequency Analysis of two-wavelet theory in Weinstein setting