Noether theorems and quantum anomalies
  In this communication, we show that both infinite-dimensional versions of Noether's theorems, and the explanation of quantum anomalies can be obtained using similar formulas for the derivatives of functions whose values are measures (Smolyanov and von Weizsaecker, 1995) or pseudomeasures (Gough, Ratiu and Smolyanov, 2015). In particular, we improve son these results. 
John Gough, Tudor S. Ratiu, Oleg G. Smolyanov
math-ph math.MP