Open Access
July 2008 Partial primitives, polyprimitives and decompositions of the class of infinitely differentiable functions
Takahide Kurokawa
Hiroshima Math. J. 38(2): 203-223 (July 2008). DOI: 10.32917/hmj/1220619457

Abstract

We give two kinds of direct sum decompositions of the class of infinitely differentiabe functions. They are related to the kernel of the higher order partial derivative operator and the polynomial space.

Citation

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Takahide Kurokawa. "Partial primitives, polyprimitives and decompositions of the class of infinitely differentiable functions." Hiroshima Math. J. 38 (2) 203 - 223, July 2008. https://doi.org/10.32917/hmj/1220619457

Information

Published: July 2008
First available in Project Euclid: 5 September 2008

zbMATH: 1166.26300
MathSciNet: MR2437571
Digital Object Identifier: 10.32917/hmj/1220619457

Subjects:
Primary: 26B35
Secondary: 26C99

Keywords: direct sum decompositions , partial primitives , quasi-polynomials

Rights: Copyright © 2008 Hiroshima University, Mathematics Program

Vol.38 • No. 2 • July 2008
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