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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 58))

Abstract

This paper explores some of the connections between classical Fourier analysis and time-frequency operators, as related to the role of the uncertainty principle in Gabor and wavelet basis expansions.

acknowledges partial support from NSF Grant DMS-9002420.

acknowledges partial support from NSF Grant DMS-9007212.

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© 1992 Springer Basel AG

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Benedetto, J., Heil, C., Walnut, D. (1992). Uncertainty Principles for Time-Frequency Operators. In: Gohberg, I. (eds) Continuous and Discrete Fourier Transforms, Extension Problems and Wiener-Hopf Equations. Operator Theory: Advances and Applications, vol 58. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8596-6_1

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  • DOI: https://doi.org/10.1007/978-3-0348-8596-6_1

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9695-5

  • Online ISBN: 978-3-0348-8596-6

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