Let TN be given as (TN. 6) = |F(Nx) 0(x) dx, for any ø e C5 (R). Show that the distributional limit of Ty as N → ∞ is the Dirac delta distribution, that is, lim (TN, Ø) = ø(0), for any ø e Cổ°(R).
Let TN be given as (TN. 6) = |F(Nx) 0(x) dx, for any ø e C5 (R). Show that the distributional limit of Ty as N → ∞ is the Dirac delta distribution, that is, lim (TN, Ø) = ø(0), for any ø e Cổ°(R).
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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