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math.CA2026
On the Calderón sum formula for wavelet systems
Ulrik Enstad, Jordy Timo van Velthoven
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 parti…
math.CA2025
Exponential frames and Riesz sequences at the critical density
Ulrik Enstad, Jordy Timo van Velthoven
We characterize exponential systems on sets of finite measure that form a frame or a Riesz sequence at the critical density. Namely, they are precisely those systems for which the…