Fourier Transform

Sudeshna Banerjea and Birendra Nath Mandal
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Sudeshna Banerjea: Jadavpur University, Department of Mathematics
Birendra Nath Mandal: Indian Statistical Institute, Physics and Applied Mathematics Unit

Chapter Chapter 6 in Integral Equations and Integral Transforms, 2023, pp 109-159 from Springer

Abstract: Abstract An integral transform of a function f(x) defined on (a, b) has the form $$I(f)\equiv F(y)=\int _{a}^{b}K(x,y)f(x)~dx$$ provided the integral exists, where K(x, y) is a known function of x, y. The function K(x, y) is called the kernel of the integral transform.

Date: 2023
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DOI: 10.1007/978-981-99-6360-7_6

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