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EBook For Fractional Integral Transforms Theory and Applications 1st Edition By Ahmed I. Zayed
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- ISBN-10 : 0367543877
- ISBN-13 : 978-0367543877
EBook For Fractional Integral Transforms Theory and Applications 1st Edition By Ahmed I. Zayed
Table Of Content
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.
Description
Fractional Integral Transforms: Theory and Applications explains over twenty-five types of integral transforms, some of which have never been put together in one book before. Some are well-known, like Laplace and Fourier, and others are newer, like the Fractional Fourier and Gyrator transforms.
The book starts by explaining the basic ideas behind these transforms and gives examples to show how they work. It then goes into more detail about important ones, like the fractional Fourier transform. The book also shows how these transforms are used in areas like signal processing and optics. It is written in a way that helps readers understand the main ideas easily, with helpful explanations and proofs throughout.
Features
- Brings together integral transforms never before collected into a single volume
- A useful resource on fractional integral transforms for researchers and graduate students in mathematical analysis, applied mathematics, physics and engineering
- Written in an accessible style with detailed proofs and emphasis on providing the reader with an easy access to the essential properties of important fractional integral transforms
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