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A note on Watson transforms

Published online by Cambridge University Press:  24 October 2008

H. S. V. De Snoo
H. S. V. De Snoo
Affiliation:
Mathematisch Instituut, Rijksuniversiteit Groningen, Postbus 800, Groningen, Nederland
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Extract

In (6) Plancherel considered linear, bounded transforms which satisfy

where the linear, bounded transform is defined by

Among other things he proved: if W1, W2 and W3 are linear, bounded transforms satisfying (1), then

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 73 , Issue 1 , January 1973 , pp. 83 - 85
Copyright
Copyright © Cambridge Philosophical Society 1973

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References

REFERENCES

(1)Bochner, S. and Chandrasekharan, K.Fourier Transforms. Annals of Mathematical Studies 19 (Princeton, 1949).Google Scholar
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