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17.—Absolutely Convergent Sturm-Liouville Expansions
Published online by Cambridge University Press: 14 February 2012
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