When electrical engineers hear the name "Nyquist," they think of what Harry Nyquist is best known for: his Sampling Theorem. Evidence of its importance is everywhere. Products like cell phones ...

Kramer has developed a generalized sampling theorem which includes the well-known theorem of Whittaker and Shannon as a special case. The generalized theorem is derived from the solution of an ...

The optional sampling theorem for martingales indexed by a partially ordered set is true if the index set is directed. However, the corresponding result for submartingales indexed by a partially ...