arXiv:1604.03932 Abstract | arXiv Analytics

arXiv:1604.03932 [math.AP]Abstract References Reviews Resources

A simple proof of Kotake-Narasimhan theorem in some classes of ultradifferentiable functions

Published 2016-04-13Version 1

We give a simple proof of a general theorem of Kotake-Narasimhan for elliptic operators in the setting of ultradifferentiable functions in the sense of Braun, Meise and Taylor. We follow the ideas of Komatsu. Based on an example of Metivier, we also show that the ellipticity is a necessary condition for the theorem to be true.

Comments: arXiv admin note: text overlap with arXiv:1412.4954

Categories: math.AP, math.FA

Subjects: 46E10, 46F05

Keywords: simple proof, ultradifferentiable functions, kotake-narasimhan theorem, elliptic operators, general theorem

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