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Sharp two-dimensional Szegő limit conjecture on the sphere
Let $S^{2}$ be the two-sphere, let $\mu$ be the measure used in the definitions of the functionals $A_{n}$ and $B_{n}$ , and let $A_{n}(\varphi)$ and $B_{n}(\varphi)$ be the corresp…
Conjectureopenmoser-trudinger-inequality spectral-geometry szego-limit-theoremarXiv posted 2 days ago
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Modified boundary-term conjecture for discontinuous Szegő asymptotics
Modified boundary-term conjecture. In the discontinuous case, the boundary contribution to the asymptotics should be
Conjectureopenspectral-theory superconductivity szego-limit-theoremarXiv posted 2 days ago

Sharp two-dimensional Szegő limit conjecture on the sphere