Register to reply

Solution to this equation

by zetafunction
Tags: equation, solution
Share this thread:
Jun4-10, 02:09 PM
P: 399
given any function (or maybe distribution) f(x) and g(x) so

[tex] f(x+i\epsilon ) - f(x-i\epsilon ) = g(x) [/tex]

if we know f(x) could we obtain g(x) from the difference above ??

if we knew g(x) could we solve the equation to get f(x) ??

here [tex] \epsilon \rightarrow 0 [/tex]
Phys.Org News Partner Science news on
Security CTO to detail Android Fake ID flaw at Black Hat
Huge waves measured for first time in Arctic Ocean
Mysterious molecules in space
Jun4-10, 03:50 PM
Sci Advisor
P: 6,039
For the first question, if you know f(z) for all complex z, you can get g(x). For the second question the answer is no, since you can add any continuous function to f(z) and still get the same g(x).

I presume that f(z) is discontinuous perpendicular to the real axis, otherwise the question is trivial.

Register to reply

Related Discussions
Solution to Equation General Math 2
Solution of equation Calculus & Beyond Homework 6
Solution for equation Precalculus Mathematics Homework 6
Solution to Laplaces equation Advanced Physics Homework 4
Does this equation have any solution? General Math 3