paper

On the Calderón sum formula for wavelet systems

arXiv:2602.10766

Abstract

We show that the Calderón sum formula for orthonormal wavelet bases holds for arbitrary dilation and translation matrices under a mild condition on the wavelet function. This partially solves a conjecture by Bownik and Lemvig.

12 pages

On the Calderón sum formula for wavelet systems · wovepaper