Fractional Integral Transforms

ISBN-13: 9780367543877 / Twarda / 2024 / 284 str.

USA) Zayed Illinois Chicago Ahmed I. (DePaul University

Opis

This book presents over twenty-five integral transforms, many of which have never before been collected in one single volume. The book’s format has been designed to make it easy for readers to extract the essential information they need to learn about the fundamental properties of each transform. 

Spis treści

1. Introduction and Preliminaries. 2. Integral Transformations. 3. Fractional Integral Transforms. 4. The Fractional Fourier Transform. 5. Shift–Invariant and Sampling Spaces of the Fractional Fourier Transform. 6. Two-Dimensional Coupled Fractional Fourier Transform. 7. The Two-Dimensional Fractional Fourier Transform and
Wigner Distribution. 8. Short-time Coupled Fractional Fourier Transform and Uncertainty Relations. 9. The Linear Canonical Transform (LCT). 10. The Special Affine Fourier Transform. 

O autorze

Ahmed I. Zayed is a Professor of Mathematics at the Department of Mathematical Sciences, DePaul University, Chicago, and was the Chair of the department for twenty years, from 2001 until 2021. His research interests varied over the years starting with generalized functions and distributions to sampling theory, applied harmonic analysis, special functions and integral transforms. He has published 2 books and edited 7 research monographs. He has written 22 book chapters, published 118 research articles, and reviewed 173 publications for the Mathematical Review and 81 for the Zentralblatt für Mathematik (zbMath). He has served on the Editorial Boards of 22 scientific research journals and has refereed over two hundreds research papers submitted to prestigious journals, among them are IEEE, SIAM, Amer. Math. Soc., Math Physics, and Optical Soc. Journals.