Techniques of Applied Mathematics Theory of Distributions

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Techniques of Applied Mathematics Theory of Distributions
Bernard Friedman
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28 Verify formula (2. 65) by ap lying it to a testing function which is equal to -x-y-z . 4.. . 2^ 2^ 2, e in the sphere x +y +z = 1.
2. 29 Verify Theorem XII by applying each side of (2. 63) and (2. 6^) to a testing function.
Courier Integrals The Fourier integral for a distribution T is defined to be T (e ) if it -ikx exists. The theory is complicated becatise of the fact that e is not a testing —ikx function. However, we can approximate e by a sequence of testin/^ functions (k, x) which vani
...sh outside an interval whose len

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