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- W3204274077 abstract "We study semiclassical sequences of distributions (u_h) associated with a Lagrangian submanifold of phase space (mathcal {L}subset T^*X). If (u_h) is a semiclassical Lagrangian distribution, which concentrates at a maximal rate on (mathcal {L},) then the asymptotics of (u_h) are well understood by work of Arnol’d, provided (mathcal {L}) projects to X with a stable simple Lagrangian singularity. We establish sup-norm estimates on (u_h) under much more general hypotheses on the rate at which it is concentrating on (mathcal {L}) (again assuming a stable simple projection). These estimates apply to sequences of eigenfunctions of integrable and KAM Hamiltonians." @default.
- W3204274077 created "2021-10-11" @default.
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- W3204274077 date "2021-09-30" @default.
- W3204274077 modified "2023-10-08" @default.
- W3204274077 title "Caustics of Weakly Lagrangian Distributions" @default.
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- W3204274077 doi "https://doi.org/10.1007/s00023-021-01110-8" @default.
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