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Uncertainty principles in mathematical physics

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Time-Frequency and Time-Scale Methods

Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

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Abstract

In earlier chapters we have motivated mathematical analysis of Fourier uncertainty inequalities through problems in signal analysis. However, many deep ideas in time-frequency analysis have their origins in mathematical physics, specifically in quantum mechanics. So it makes sense, in turn, to consider advances in mathematical physics that have resulted from time-scale analysis and wave packet combinatorics.

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© 2005 Birkhäuser Boston

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(2005). Uncertainty principles in mathematical physics. In: Time-Frequency and Time-Scale Methods. Applied and Numerical Harmonic Analysis. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4431-8_7

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