Let be a function (usually real or complex valued) on (). Its spherical mean at point over a sphere of radius is defined as
where the integral is over the surface of the unit -sphere. Here is is the area of the unit sphere, while is the area of a sphere of radius (http://planetmath.org/AreaOfTheNSphere). In essense, the spherical mean is just the average of over the surface of a sphere of radius centered at , as the name suggests.
where is the Laplacian.
|Date of creation||2013-03-22 14:09:04|
|Last modified on||2013-03-22 14:09:04|
|Last modified by||rspuzio (6075)|