piecewise continuously differentiable and, absolutely integrable

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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InTheorem 6.2. Let F, (p) is the Fourier sine transform of f(x), that is, if lo st
elatl sd
(x) sin (px) dx
F,(p)
..(6.2.3)
and if (x) is piecewise continuously differentiable and, absolutely integrable in (0, -) then at
each point of continuity x of f(x).
f(x)
F, (p) sin (px) dp
... (6.2.4)
The function f(x) is called the inverse fourier sine transform of F,(p).
Transcribed Image Text:InTheorem 6.2. Let F, (p) is the Fourier sine transform of f(x), that is, if lo st elatl sd (x) sin (px) dx F,(p) ..(6.2.3) and if (x) is piecewise continuously differentiable and, absolutely integrable in (0, -) then at each point of continuity x of f(x). f(x) F, (p) sin (px) dp ... (6.2.4) The function f(x) is called the inverse fourier sine transform of F,(p).
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