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arXiv · 2602.10766

On the Calder\'on sum formula for wavelet systems

Ulrik Enstad·Jordy Timo van Velthoven
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Abstract

We show that the Calder\'on 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.

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Ulrik Enstad, Jordy Timo van Velthoven. 2026-02-11. On the Calder\'on sum formula for wavelet systems. https://arxiv.org/abs/2602.10766

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