AbstractsMathematics
Some inequalities in Fourier analysis and applications
| Institution: | University of Texas – Austin |
|---|---|
| Department: | Mathematics |
| Degree: | PhD |
| Year: | 2014 |
| Keywords: | Fourier analysis; Band limited functions; Entire functions of exponential type; Beurling-Selberg extremal problem |
| Record ID: | 2040929 |
| Full text PDF: | http://hdl.handle.net/2152/24781 |
Abstract
We prove several inequalities involving the Fourier transform of functions which are compactly supported. The constraint that the functions have compact support is a simplifying feature which is desirable in applications, but there is a trade-off in control of other relevant quantities – such as the mass of the function. With applications in mind, we prove inequalities which quantify these types of trade-offs.
