I often think I should learn something and it falls out of my mind. Listing them here is unlikely to change that fact, but it might be of interest to people.
- “Improved Lieb-Thirring type inequalities for non-selfadjoint Schrödinger operators” by Boegli – was interested in Sukrid Petpradittha’s talk at UK Workshop on Spectral Theory 2024 extending this paper. Apparently it’s not due to materialise as a preprint in the near future so I want to understand this paper first, filling in any prerequisites.
- On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains by Chandler-Wilde, Hagger, Perfekt, Virtanen – similarly to above, enjoyed Simon CW’s talk at the workshop, might do some stuff with integral operators in the future, reckon it’d be good to understand this. Think this might be more prerequisite heavy.
- Classical Fourier Analysis by Grafakos – I reckon I just don’t know enough harmonic analysis. Never seriously looked at singular integrals for instance. This should change at some point and Grafakos has always seemed like a solid source.
- Avoiding discretization issues for nonlinear eigenvalue problems by Colbrook and Townsend – I think I have looked at this paper briefly, but computability as far as nonlinear eigenvalue problems are concerned is definitely something that’s on my to-do list, so I should try to get acquainted with them.
- Essential numerical ranges for linear operator pencils by Boegli and Marletta – been meaning to read this, think I read about a quarter or half.
- Mathematical theory of scattering resonances by Zworski and Dylatlov – recommended by Simon CW. Resonances are on the SCI to-do list. Might be prerequisite-heavy, going through the appendix is likely to bring up gaps I need to fill.