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17.—Absolutely Convergent Sturm-Liouville Expansions

Published online by Cambridge University Press:  14 February 2012

S. D. Wray
S. D. Wray
Affiliation:
School of Mathematical Sciences, Flinders University of South Australia.
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Synopsis

An analogue of full-range Fourier series is introduced in the Sturm-Liouville setting and a theorem generalising Wiener's theorem for functions with absolutely convergent Fourier series is proved. The Banach algebra structure of the theory is examined. Use is made of second-order asymptotic formulae for the Sturm-Liouville eigenfunctions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 73 , 1975 , pp. 255 - 269
Copyright
Copyright © Royal Society of Edinburgh 1975

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References

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