On the M-function and Borg-Marchenko theorems for vector-valued Sturm-Liouville equations
We will consider a vector-valued Sturm-Liouville equation of the form R[U]:=-(PU')(')+QU=lambdaWU, xis an element of[0,b), with P-1, W, Qis an element ofL(loc)(1)([0,b))(mxm) being Hermitian and under some additional conditions on P-1 and W. We give an elementary deduction of the leading order term asymptotics for the Titchmarsh-Weyl M-function corresponding to this equation. In the special case o
