Improves L2→L4 bounds for spectral projectors P_λ,δ with δ polynomially small in λ on S1-symmetric surfaces via Bessel eigenfunctions and nonstationary phase estimates.
On the remainder in the Weyl formula for the Euclidean disk
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$L^4$ norm of spectral projectors on polynomially small frequency intervals for $S^1$-symmetric surfaces
Improves L2→L4 bounds for spectral projectors P_λ,δ with δ polynomially small in λ on S1-symmetric surfaces via Bessel eigenfunctions and nonstationary phase estimates.