2005Unpublished venueRequires access

Fourier and Other Mathematical Transforms

R. N. Bracewell

Open publisher page 1 citations

Abstract

This chapter contains sections titled: The Fourier Transform Continuous Versus Discrete Transforms Some Common Transforms The Laplace Transform Convergence Conditions Why Transforms Are Useful Fields of Application The Hartley Transform The Fast Fourier Transform The Fast Hartley Algorithm The Mellin Transform The Hilbert Transform Multidimensional Transforms The Hankel Transform The Abel Transform Tomography and the Radon Transform The Walsh Transform The z Transform Convolution Summary

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What this paper is about

This chapter contains sections titled: The Fourier Transform Continuous Versus Discrete Transforms Some Common Transforms The Laplace Transform Convergence Conditions Why Transforms Are Useful Fields of Application The Hartley Transform The Fast Fourier Transform The Fast Hartley Algorithm The Mellin Transform The Hilbert Transform Multidimensional Transforms The Hankel Transform The Abel Transform Tomography and the Radon Transform The Walsh Transform The z Transform Convolution Summary

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OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This chapter contains sections titled: The Fourier Transform Continuous Versus Discrete Transforms Some Common Transforms The Laplace Transform Convergence Conditions Why Transforms Are Useful Fields of Application The Hartley Transform The Fast Fourier Transform The Fast Hartley Algorithm The Mellin Transform The Hilbert Transform Multidimensional Transforms The Hankel Transform The Abel Transform Tomography and the Radon Transform The Walsh Transform The z Transform Convolution Summary

Key concepts: Hartley transform, Fractional Fourier transform, Discrete Hartley transform, Mellin transform, Discrete Fourier transform (general), Two-sided Laplace transform, Radon transform, Hankel transform

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