C m extension by linear operators

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Smooth Fourier multipliers on group von Neumann algebras (2010, background): “In particular, this fits in Fefferman’s approach to the smooth interpolation of data carried out in [15, 16, 17].”
Whitney’s extension problems and interpolation of data (2008, background): “The last two results are proven in [16].”
Sobolev extension by linear operators (2012, background): “Can we compute an extension F whose C norm has the least possible order of magnitude? How many computer operations does it take? The above questions were answered in [8, 9, 10, 11, 12, 14, 15], building on earlier work of H.”