An extension theorem of whitney type for non quasi-analytic classes of functions

Joaquim Bruna

doi:10.1112/jlms/s2-22.3.495

An extension theorem of whitney type for non quasi-analytic classes of functions

Joaquim Bruna

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

46 Citations (Scopus)

Abstract

In this paper we state and prove a theorem concerning the extension of non quasi-analytic functions defined on arbitrary compact sets in Rd. This theorem can be seen as the analogue, for non quasi-analytic classes, of Whitney’s extension theorem. © 1980, Oxford University Press. All rights reserved.

Original language	English
Pages (from-to)	495-505
Journal	Journal of the London Mathematical Society
Volume	s2-22
Issue number	3
DOIs	https://doi.org/10.1112/jlms/s2-22.3.495
Publication status	Published - 1 Jan 1980

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abstract = "In this paper we state and prove a theorem concerning the extension of non quasi-analytic functions defined on arbitrary compact sets in Rd. This theorem can be seen as the analogue, for non quasi-analytic classes, of Whitney{\textquoteright}s extension theorem. {\textcopyright} 1980, Oxford University Press. All rights reserved.",

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AB - In this paper we state and prove a theorem concerning the extension of non quasi-analytic functions defined on arbitrary compact sets in Rd. This theorem can be seen as the analogue, for non quasi-analytic classes, of Whitney’s extension theorem. © 1980, Oxford University Press. All rights reserved.

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