Classes Of Infinitely Differentiable Functions

Lars Hörmander ()
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Lars Hörmander: Lund University

Chapter Chapter 11 in Unpublished Manuscripts, 2018, pp 67-88 from Springer

Abstract: Abstract It is well known that the set of analytic functions of a real variable can be characterized by the growth of the derivatives with the order of differentiation. A real or complex valued function u defined in a closed bounded interval I ⊂ R is said to be analytic if there exists an analytic function u1 defined in a complex neighborhood of I such that u1 = u on I.

Date: 2018
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DOI: 10.1007/978-3-319-69850-2_11

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