This morning Ana Bonaca and I discussed an a apparent remarkable sensitivity of a likelihood function we have (for a photometric light curve) to change in frequency. There are sampling theorems, which say how smooth your likelihood function can be in the frequency direction. But do these apply when you are fitting multiple frequencies simultaneously? I would have thought yes for sure, but either we have a bug, a numerical instability, or a think-o. I don't think the problem is numerical because our condition numbers on all our matrices are reasonable.
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