ملخص
The history of integral transforms began with D’Alembert in 1747. He described the oscillations of a violin string using a superposition of sine functions. Fourier proposed a similar idea for heat equations in 1807 and formulated the elegant mathematical tool—the Fourier transform (FT), which marked the beginning of the modern history of integral transforms. It serves as a benchmark for validating the existence of other well-known integral transforms such as the z-transform, the Hartley transform, the Walsh transform, the Laplace transform, the Hankel transform, the Mellin transform, the Hilbert transform, and the Radon transform. They all have a wide range of applications in a variety of fields in science and engineering and are invariably related to FT.
اللغة الأصلية | English |
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عنوان منشور المضيف | Wavelets and Fractals in Earth System Sciences |
ناشر | CRC Press |
الصفحات | 93-116 |
عدد الصفحات | 24 |
رقم المعيار الدولي للكتب (الإلكتروني) | 9781466553606 |
رقم المعيار الدولي للكتب (المطبوع) | 9781466553590 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | Published - يناير 1 2013 |
ASJC Scopus subject areas
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