Insights Blog
-- Browse All Articles --
Physics Articles
Physics Tutorials
Physics Guides
Physics FAQ
Math Articles
Math Tutorials
Math Guides
Math FAQ
Education Articles
Education Guides
Bio/Chem Articles
Technology Guides
Computer Science Tutorials
Forums
General Math
Calculus
Differential Equations
Topology and Analysis
Linear and Abstract Algebra
Differential Geometry
Set Theory, Logic, Probability, Statistics
MATLAB, Maple, Mathematica, LaTeX
Trending
Featured Threads
Log in
Register
What's new
Search
Search
Search titles only
By:
General Math
Calculus
Differential Equations
Topology and Analysis
Linear and Abstract Algebra
Differential Geometry
Set Theory, Logic, Probability, Statistics
MATLAB, Maple, Mathematica, LaTeX
Menu
Log in
Register
Navigation
More options
Contact us
Close Menu
JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding.
You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an
alternative browser
.
Forums
Mathematics
Differential Equations
Fourier transform of Dirac delta
Reply to thread
Message
[QUOTE="zinq, post: 5461409, member: 462505"] Yes, the 1/√2π convention that Septim mentions is used by the more mathematically oriented scientists, since in that case both the Fourier transform and its inverse are isometries on the space L[SUP]2[/SUP] of square-integrable functions, which is often a very convenient thing to have.* The other most common convention, with no coefficient (okay, it's actually 1) in the forward transform tends to be preferred by engineers, who then don't have to worry about any coefficient every time they do a (forward) transform, and never have to worry about a square root even with the inverse transform. ___________________ * Technically, any two square-integrable functions are considered to be the same in L[SUP]2[/SUP] if they differ only on a set of measure 0. Thus L[SUP]2[/SUP] is not precisely a set of functions, but rather a set of equivalence classes. [/QUOTE]
Insert quotes…
Post reply
Forums
Mathematics
Differential Equations
Fourier transform of Dirac delta
Back
Top