(a) g has at most a countable number of discontinuities.
then there exists at most a countable set of 's for which.
Since the distribution function is nondecreasing, the discontinuous points are at most a countable set.
Moreover, at most a countable set of spectral singularities can exists over the continuous spectrum and at most a countable set of eigenvalues can be located outside of the interval ((-infty,+infty)).
Moreover, there may be at most a countable number of spectral singularities on the continuous spectrum of the examined operators.
The operator (L_{lambda }) has at most a countable set of eigenvalues in (mathbb{C}backslash mathbb{R}).
and (2.1) can fail, at most, over a countable family of admissible nonquasisemicontinuity curves; (iii there exists an integrable function,, such that (2.14).
Suppose that there exists a null-measure set such that conditions and hold and, moreover, for every,, one has either (2.1) or (2.13), and (2.1) can fail, at most, over a countable family of admissible non-quasisemicontinuity curves contained in.
Suppose that there exists a null-measure set such that the following conditions hold: (1 condition (2.1) holds for all except, at most, over a countable family of admissible non-quasi-semicontinuity curves; (2 there exists an integrable function,, such that (2.7).
and (6.3) fails, at most, over a countable family of admissible nqsc curves of the scalar differential equation contained in the sector ; there exists such that for and a.a. one has.
Suppose that there exists a null-measure set such that the following conditions hold: for every, the mapping with domain is measurable; for every,, one has either (2.1) or (2.13), and (2.1) can fail, at most, over a countable family of admissible non-quasisemicontinuity curves contained in ; there exists an integrable function,, such that (3.1).
