ABSTRACT
The function f˜ (λ) is called the transform of the function f (x) and ϕ(x, λ) is called the kernel of the integral transform. The function f (x) is called the inverse transform of f˜ (λ). The limits of integration a and b are real numbers (usually, a = 0, b =∞ or a = –∞, b =∞). For brevity, we rewrite formula (11.1.1.1) as follows: f˜ (u) = L{f (x)}.
