On the Whitney extension theorem:
Charles Fefferman: A sharp form of Whitney’s extension theorem, Ann. Math. 161 1 (2005) 509-577 [doi:10.4007/annals.2005.161.509]
Charles Fefferman: Whitney’s Extension Problems and Interpolation of Data, Bull. Amer. Math. Soc. 46 (2009), 207-220 [doi:10.1090/S0273-0979-08-01240-8, pdf]
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