Further, by virtue of continuity of the semigroup (in the strong operator topology) and the fact that the integrand is dominated by an integrable function
, we conclude that t [right arrow] [e.
Assume that u(t) is a non-negative, locally integrable function
defined on [LAMBDA] that satisfies
For any square integrable function
x on [-1, 1], we define the function
a) The fractional integral of order q > 0 of a Lebesgue integrable function
where x([theta]) is an integrable function
on [0, 2[pi]), called the measurement function.
For a Riemann-Stieltjes integrable function
f: [a, b] [right arrow] R and for a given x [member of] [a, b], it is natural to investigate the distances between the quantities
3 : Let f: [0,1] [right arrow] R be an integrable function
, m [member of] N is a given large number, [s.
5) is not true for every nonnegative integrable function
[phi], the proof of (i) is not correct.
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.
n] is called integrable bounded if there exists an integrable function
h: I [right arrow] [R.
Let g be a nonnegative, locally integrable function
such that [[integral].
n] is called integrally bounded, if there exists a real-value integrable function
g such that for each y [member of] [F.