Integral Transforms

Authored by: Mikhail S. Belen’kii

Encyclopedia of Optical and Photonic Engineering

Print publication date:  September  2015
Online publication date:  September  2015

Print ISBN: 9781439850978
eBook ISBN: 9781351247184
Adobe ISBN:

10.1081/E-EOE2-120009526

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Abstract

In this entry, we consider the integral transforms that are most prominent in the applications, namely, a one-dimensional and two-dimensional Fourier transforms, cosine and sine Fourier transforms, Hilbert transforms, Laplace transforms, and Mellin transforms. The existence conditions, operational properties, and tables of these integral transformations are provided, and the applications of the two-dimensional Fourier transform are examined as well.

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