HEAT KERNEL ASYMPTOTICS POR OPERATOR VALUED STURMLIOUVILLE EQUATIONS
For operator Sturm-Liouville problems with commutative potentials we derive a local expansion for the operator heat kernel which is asymptotic in the trace norm. We give explicit formulae for the coefficients in an important special case and derive some consequences for index calculations concerning regular singular operators. AMSClassification: 34G10, 34B25, 35P05, 35J10