Abstract
It is proven that an orthonormal basis of ondelettes can never have exponential localization in both position space and momentum space.
Keywords
Orthonormal basisPhase spaceSpace (punctuation)Position (finance)Basis (linear algebra)MathematicsMathematical analysisMomentum (technical analysis)Position and momentum spaceExponential functionPhase (matter)Pure mathematicsPhysicsComputer scienceQuantum mechanicsGeometry
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Publication Info
- Year
- 1989
- Type
- article
- Volume
- 30
- Issue
- 10
- Pages
- 2195-2196
- Citations
- 31
- Access
- Closed
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Cite This
Guy Battle
(1989).
Phase space localization theorem for ondelettes.
Journal of Mathematical Physics
, 30
(10)
, 2195-2196.
https://doi.org/10.1063/1.528544
Identifiers
- DOI
- 10.1063/1.528544