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XIV.—On Bounded Integral Operators in the Space of Integrable-Square Functions*
Published online by Cambridge University Press: 14 February 2012
Extract
§ 1. Let L2(0, ∞) denote the Hilbert space of Lebesgue measurable, integrable-square functions on the half-line [0, ∞).
Integral operators of the form
acting on the space L2 (0, ∞) occur in the theory of ordinary differential equations; see for example the book by E. C. Titchmarsh [4; § 2.6]. It is important to establish when operators of this kind are bounded; see the book by A. E. Taylor [3; § 4.1 and §§4.11, 4.12 and § 4.13].
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 69 , Issue 3 , 1971 , pp. 199 - 204
- Copyright
- Copyright © Royal Society of Edinburgh 1971
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