Mathematical Methods in the Physical Sciences

3rd Edition

ISBN: 9780471198260

Author: Mary L. Boas

Publisher: Wiley, John & Sons, Incorporated

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Textbook Question

Chapter 7.12, Problem 6P

In Problems 3 to 12, find the exponential Fourier transform of the given f ( x ) and write f ( x ) as a Fourier integral [that is, find g ( α ) in equation (12.2) and substitute your result into the first integral in equation (12.2)].

f ( x ) = x , | x | < 1 0 , | x | > 1

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Chapter 7.12, Problem 5P

Chapter 7.12, Problem 7P

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Mathematical Methods in the Physical Sciences

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In Problems 3 to 12, find the exponential Fourier transform of the given f ( x ) and write f ( x ) as a Fourier integral [that is, find g ( α ) in equation (12.2) and substitute your result into the first integral in equation (12.2)]. f ( x ) = x , | x | &lt; 1 0 , | x | &gt; 1

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In Problems 3 to 12, find the exponential Fourier transform of the given f ( x ) and write f ( x ) as a Fourier integral [that is, find g ( α ) in equation (12.2) and substitute your result into the first integral in equation (12.2)]. f ( x ) = x , | x | < 1 0 , | x | > 1