Quantum anomalies and transformations of Feynman path integrals

One intends to show that both explanation of the origin of quantum anomalies and Noether's theorems can be obtained using similar formulas for derivatives of functions whose values are either measures or pseudomeasures. By this way a contradiction between explanations of quantum anomalies given by Brice DeWitt, on one hand, and by Fujikawa and Suzuki, on another hand, is resolved.