Notes on special systems of orthogonal Functions (III): A System of orthogonal polynomials†
Published online by Cambridge University Press: 24 October 2008
Extract
Generalities. Suppose that
is real and L2(0, ∞), that
is its Mellin transform, and that
Then K(1)(x) generates a “Watson transformation”, with a “Fourier theorem”
valid for every F(x) of L2(0, ∞).
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 36 , Issue 1 , January 1940 , pp. 1 - 8
- Copyright
- Copyright © Cambridge Philosophical Society 1940
References
REFERENCES
- 7
- Cited by