(1) Department of Mathematics and Statistics, Villanova University, Villanova, PA, USA Electronic supplementary material The online version of this chapter (doi:10.1007/978-3-319-22665-1_2) contains supplementary material, which is available to authorized…
(1) Department of Mathematics and Statistics, Villanova University, Villanova, PA, USA Electronic supplementary material The online version of this chapter (doi:10.1007/978-3-319-22665-1_9) contains supplementary material, which is available to authorized…
(1) Department of Mathematics and Statistics, Villanova University, Villanova, PA, USA Electronic supplementary material The online version of this chapter (doi:10.1007/978-3-319-22665-1_8) contains supplementary material, which is available to authorized…
(1) Department of Mathematics and Statistics, Villanova University, Villanova, PA, USA 5.1 Definition and examples For a given function f such that , the Fourier transform of f is defined, for each real…
(1) Department of Mathematics and Statistics, Villanova University, Villanova, PA, USA Electronic supplementary material The online version of this chapter (doi:10.1007/978-3-319-22665-1_7) contains supplementary material, which is available to authorized…
(1) Department of Mathematics and Statistics, Villanova University, Villanova, PA, USA There is no real number a for which . In order to develop an expanded number system that includes solutions…
(1) Department of Mathematics and Statistics, Villanova University, Villanova, PA, USA 10.1 Introduction Magnetic resonance imaging, or MRI, is an imaging technique that has grown alongside CT and that,…
(1) Department of Mathematics and Statistics, Villanova University, Villanova, PA, USA Electronic supplementary material The online version of this chapter (doi:10.1007/978-3-319-22665-1_3) contains supplementary material, which is available to authorized…
(1) Department of Mathematics and Statistics, Villanova University, Villanova, PA, USA The ideas discussed in this chapter involve interactions between three transforms — the Radon transform, the Fourier transform,…
