integrable function

(redirected from Square integrable function)

integrable function

[¦int·i·grə·bəl ′fəŋk·shən]
(mathematics)
A function whose integral, defined in a specific manner, exists and is finite.
References in periodicals archive ?
For any square integrable function x on [-1, 1], we define the function
Equation (2) means that the only a priori information about the magnetic current is that it is a square integrable function defined on the source domain S whereas the radiated field is assumed as a square integrable function defined on the measurement domain [O.
that relates the square integrable function electric current J(x') defined on the source domain S to the radiated electric field over the measurement domain [O.
The wavelet transform of square integrable function f [member of] [L.
In this paper the authors prove that a square integrable function f on I[R.
2]) denote the spaces of square integrable functions with compact support and of locally square integrable functions, respectively.
The convolution is used for the definition of discontinuous bases of the space of square integrable functions whose elements are as close to a classical orthonormal system as desired.
2] ([OMEGA]) of all square integrable functions and its subspace [L.
0]((-[infinity], l),dm) denote the space of all square integrable functions f such that Supp (f)[subset]([-infinity], l) and, for f [member of] [L.
n]) with that subspace of square integrable functions on M which have support contained in [[bar.
alpha]]) is the space of square integrable functions on [IR.