Register to reply

Hankel transform of (dirac delta)/k and of 1

by osnarf
Tags: delta or k, dirac, hankel, transform
Share this thread:
osnarf
#1
Feb6-12, 04:24 PM
P: 209
Hello Everyone,

I am wondering what the Hankel Transform of δ(k)/k is.

ie: [itex]\int^{\infty}_{0}k\frac{\delta(k)}{k}J_{0}[k r] dk[/itex] = [itex]\int^{\infty}_{0}\delta(k) J_{0}[k r] dk[/itex] is.

If the integral was from -[itex]\infty to \infty[/itex], I know that it would be 1, and hence the hankel transform of 1 is δ(k)/k. But since the limits are from 0 to [itex]\infty[/itex], does the same result hold? The other two possibilities I see are 1/2 and 0.

Thanks for your help.
Phys.Org News Partner Science news on Phys.org
World's largest solar boat on Greek prehistoric mission
Google searches hold key to future market crashes
Mineral magic? Common mineral capable of making and breaking bonds

Register to reply

Related Discussions
Does the dirac delta function have a Laplace transform? Calculus 1
Laplace transform - Dirac delta Calculus & Beyond Homework 1
Fourier Transform and Dirac Delta Function Calculus & Beyond Homework 0
Fourier transform formulation of the dirac delta Quantum Physics 1
Laplace transform of dirac delta function General Math 1