For every continuous function f(x) defined in x E R, we can associate with it a distribution f : $(x) → [ f(x)$(x)dz, f(r)¢(x)dx, for every test function o E D(R). Prove that there does not exist a continuous function g(x) such that its associated distribution is 8 function.
For every continuous function f(x) defined in x E R, we can associate with it a distribution f : $(x) → [ f(x)$(x)dz, f(r)¢(x)dx, for every test function o E D(R). Prove that there does not exist a continuous function g(x) such that its associated distribution is 8 function.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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