Abstract
Hardy—s Uncertainty Principle asserts that if f is a function on ℝn such that exp(α | · |2)f and exp\( (\beta | \cdot |^2 )\hat f \) are bounded, where \( \alpha \beta > \tfrac{1} {4} \), then f = 0. In this paper, we prove a version of Hardy—s result for operators.
This paper was prepared at the University of New South Wales. The second-named author was supported by an ARC grant held by the first-named author. She wishes to express her thanks for this support.
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References
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© 2006 Birkhäuser Verlag Basel/Switzerland
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Cowling, M.G., Sundari, M. (2006). An Uncertainty Principle for Operators. In: Qian, T., Vai, M.I., Xu, Y. (eds) Wavelet Analysis and Applications. Applied and Numerical Harmonic Analysis. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7778-6_5
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DOI: https://doi.org/10.1007/978-3-7643-7778-6_5
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