Abstract
We extend the decoupling results of the first two authors to the case of real analytic surfaces of revolution in \({\mathbb R}^3\). New examples of interest include the torus and the perturbed cone.
The first two authors are partially supported by the Collaborative Research NSF grant DMS-1800305.
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References
J. Bourgain, C. Demeter, The proof of the l 2 decoupling conjecture. Ann. Math. 182(1), 351–389 (2015)
J. Bourgain, C. Demeter, Decouplings for curves and hypersurfaces with nonzero Gaussian curvature. J. Anal. Math. 133, 279–311 (2017)
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Bourgain, J., Demeter, C., Kemp, D. (2020). Decouplings for Real Analytic Surfaces of Revolution. In: Klartag, B., Milman, E. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 2256. Springer, Cham. https://doi.org/10.1007/978-3-030-36020-7_7
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DOI: https://doi.org/10.1007/978-3-030-36020-7_7
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