The Uncertainty Principle in Harmonic Analysis

The authors approach the subject of the Uncertainty Principle in various ways taking into account new mathematical results which were established within the last 15 years. There is no comparable book on this topic and hence Havin's and Jöricke's work fills a gap in the literature.

Inhalt
One. The Uncertainty Principle Without Complex Variables.- 1. Functions and Charges with Semibounded Spectra.- 2. Some Topics Related to the Harmonic Analysis of Charges.- 3. Hilbert Space Methods.- Two. Complex Methods.- 1. The Uncertainty Principle from the Complex Point of View. First Examples.- 2. The Logarithmic Integral Diverges.- 3. The Logarithmic Integral Converges.- 4. Missing Frequencies and the Diameter of the Support. The Second Beurling-Malliavin Theorem and the Fabry Theorem.- 5. Local and Non-local Convolution Operators.- References.- Author Index.