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Resumen de On Whitney's extension theorem for ultradifferentiable functions

Manuel Valdivia Ureña Árbol académico

  • Let M be a Whitney-regular bounded subset in the k-dimensional Euclidean space ℝk. We show in this article that certain jets of functions defined in the closure M̄ of M are Whitney jets, either of Beurling type, or of Roumieu type, and as a consequence we give some results related with Whitney's extension theorem. We also obtain some structure theorems for ultradistributions T with support contained in a compact K, in terms of Borel measures concentrated at K. © 2011 Springer-Verlag.


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