No CrossRef data available.
The Spectral resolution of Watson transforms†
Published online by Cambridge University Press: 24 October 2008
Extract
If φ belongs to L2(0, ∞), the Watson transform W φ of φ is defined by
where k(u)/u belongs to L2(0, ∞) and
The operator W is unitary in L2(0, ∞), and its inverse is given by
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 54 , Issue 3 , July 1958 , pp. 368 - 376
- Copyright
- Copyright © Cambridge Philosophical Society 1958