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Uncertainty Principle and Wavelet Transforms

  • Alexander I. SaichevEmail author
  • Wojbor Woyczynski
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Abstract

The method of wavelet transforms, which provides a decomposition of functions in terms of a fixed family of functions of constant shape but varying scales and locations, recently acquired broad significance in the analysis of signals and of experimental data from various physical phenomena. It is clear that the potential of this method has not yet been fully tapped. Nevertheless, its value for the whole spectrum of problems in many areas of science and engineering, including the study of electromagnetic and turbulent hydrodynamic fields, image reconstruction algorithms, prediction of earthquakes and tsunami waves, and statistical analysis of economic data, is by now quite obvious.

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Mathematical DepartmentState University of Nizhny NovgorodNizhny NovgorodRussia
  2. 2.Math, Applied Math, & Stat, Yost 229Case Western Reserve UniversityClevelandUSA

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