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An extension of Müntz's theorems in multivariables

Published online by Cambridge University Press:  17 April 2009

Shirô Ogawa  and
Kazuaki Kitahara
Shirô Ogawa
Affiliation:
The Faculty of Engineering, Kobe University, Nada-ku, Kobe 657, Japan.
Kazuaki Kitahara
Affiliation:
The Graduate School of Science and Technology, Kobe University, Nada-ku, Kobe 657, Japan.
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Müntz's theorems give necessary and sufficient conditions for a sequence of powers in one variable to be complete in the spaces of all real-valued continuous functions or square integrable functions with the usual norms.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 36 , Issue 3 , December 1987 , pp. 375 - 387
Copyright
Copyright © Australian Mathematical Society 1987

References

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[4]Müntz, C., “Über den Approximationssatz von Weierstrass”, H. A. Schwarz Festschrift, Mathematische Abhandlungen, (Berlin, 1914), 303–312.Google Scholar
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