On the Calderón sum formula for wavelet systems

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Ulrik Enstad, Jordy Timo van Velthoven
DOI: 10.48550/arxiv.2602.10766
Cited by: 0

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.

Fields of Study & Subjects

Mathematical Analysis and Transform Methods Advanced Harmonic Analysis Research Advanced Banach Space Theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
11 February 2026
Language
EN
Document type
Preprint