Integral Transforms If K(s, t) is a continuous function of s and t on the square 0 curren s curren 1, 0 curren t curren 1, and i(r)is any continuous function of t for 0 curren t curren 1 we can define the function F given by Show that the mapping T(f (t)) F(s) is a linear trans formation from C 0, ...

Integral Transforms If K(s, t) is a continuous function of s and t on the square 0

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Integral Transforms If K(s, t) is a continuous function of s and t on the square 0 ‰¤ s ‰¤ 1, 0 ‰¤ t ‰¤ 1, and i(r)is any continuous function of t for 0 ‰¤ t ‰¤ 1. we can define the function F given by

Show that the mapping T(f (t)) = F(s) is a linear trans-formation from C[0, 1] into itself.

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Differential Equations and Linear Algebra

ISBN: 978-0131860612

2nd edition

Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West

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Question Posted: May 26, 2016 06:08 AM

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Integral Transforms If K(s, t) is a continuous function of s and t on the square 0

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F(s) = | K(s, t)f(t) dt

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Differential Equations and Linear Algebra

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